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400211121112020 = 22355791042379333
BaseRepresentation
bin101101011111111010110100…
…1101101011000001111010100
31221111000210212010212211100000
41122333311221231120033110
5404424024334001041040
63535102241221051300
7150204204444524421
oct13277655155301724
91844023763784300
10400211121112020
11106579646426969
1238a7771a856b30
13142409928ba68a
1470b8470724d48
153140622ab7130
hex16bfd69b583d4

400211121112020 has 144 divisors (see below), whose sum is σ = 1274871620655360. Its totient is φ = 105372041913216.

The previous prime is 400211121111917. The next prime is 400211121112021. The reversal of 400211121112020 is 20211121112004.

400211121112020 is a `hidden beast` number, since 40 + 0 + 211 + 1 + 211 + 1 + 202 + 0 = 666.

It is a super-2 number, since 2×4002111211120202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400211121111984 and 400211121112002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400211121112021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 520805727 + ... + 521573606.

It is an arithmetic number, because the mean of its divisors is an integer number (8853275143440).

Almost surely, 2400211121112020 is an apocalyptic number.

It is an amenable number.

400211121112020 is an abundant number, since it is smaller than the sum of its proper divisors (874660499543340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400211121112020 is a wasteful number, since it uses less digits than its factorization.

400211121112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042379436 (or 1042379422 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 400211121112020 its reverse (20211121112004), we get a palindrome (420422242224024).

The spelling of 400211121112020 in words is "four hundred trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 79 81 90 108 135 158 162 180 237 243 270 316 324 395 405 474 486 540 711 790 810 948 972 1185 1215 1422 1580 1620 2133 2370 2430 2844 3555 4266 4740 4860 6399 7110 8532 10665 12798 14220 19197 21330 25596 31995 38394 42660 63990 76788 95985 127980 191970 383940 1042379333 2084758666 3127137999 4169517332 5211896665 6254275998 9381413997 10423793330 12508551996 15635689995 18762827994 20847586660 28144241991 31271379990 37525655988 46907069985 56288483982 62542759980 82347967307 84432725973 93814139970 112576967964 140721209955 164695934614 168865451946 187628279940 247043901921 253298177919 281442419910 329391869228 337730903892 411739836535 422163629865 494087803842 506596355838 562884839820 741131705763 823479673070 844327259730 988175607684 1013192711676 1235219509605 1266490889595 1482263411526 1646959346140 1688654519460 2223395117289 2470439019210 2532981779190 2964526823052 3705658528815 4446790234578 4940878038420 5065963558380 6670185351867 7411317057630 8893580469156 11116975586445 13340370703734 14822634115260 20010556055601 22233951172890 26680741407468 33350926759335 40021112111202 44467902345780 66701853518670 80042224222404 100052780278005 133403707037340 200105560556010 400211121112020