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20010234000420 = 223251729225492833
BaseRepresentation
bin1001000110010111111101…
…11000111011010000100100
32121211221220121112121000100
410203023332320323100210
510110321424401003140
6110320324040144100
74133456152420536
oct443137670732044
977757817477010
1020010234000420
116415324478024
1222b214aa68030
13b21c596012a1
144d27014d3856
1524a7a3567530
hex1232fee3b424

20010234000420 has 144 divisors (see below), whose sum is σ = 66484307176560. Its totient is φ = 4848997859328.

The previous prime is 20010234000371. The next prime is 20010234000443. The reversal of 20010234000420 is 2400043201002.

20010234000420 is a `hidden beast` number, since 2 + 0 + 0 + 10 + 234 + 0 + 0 + 0 + 420 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5296055076 + 20004937945344 = 72774^2 + 4472688^2 .

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 = 20010234000393 and 20010234000402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112657677 + ... + 112835156.

It is an arithmetic number, because the mean of its divisors is an integer number (461696577615).

Almost surely, 220010234000420 is an apocalyptic number.

20010234000420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20010234000420 is an abundant number, since it is smaller than the sum of its proper divisors (46474073176140).

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

20010234000420 is a wasteful number, since it uses less digits than its factorization.

20010234000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225492894 (or 225492889 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20010234000420 its reverse (2400043201002), we get a palindrome (22410277201422).

The spelling of 20010234000420 in words is "twenty trillion, ten billion, two hundred thirty-four million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 29 30 34 36 45 51 58 60 68 85 87 90 102 116 145 153 170 174 180 204 255 261 290 306 340 348 435 493 510 522 580 612 765 870 986 1020 1044 1305 1479 1530 1740 1972 2465 2610 2958 3060 4437 4930 5220 5916 7395 8874 9860 14790 17748 22185 29580 44370 88740 225492833 450985666 676478499 901971332 1127464165 1352956998 2029435497 2254928330 2705913996 3382392495 3833378161 4058870994 4509856660 6539292157 6764784990 7666756322 8117741988 10147177485 11500134483 13078584314 13529569980 15333512644 19166890805 19617876471 20294354970 23000268966 26157168628 32696460785 34500403449 38333781610 39235752942 40588709940 46000537932 57500672415 58853629413 65392921570 69000806898 76667563220 78471505884 98089382355 111167966669 115001344830 117707258826 130785843140 138001613796 172502017245 196178764710 222335933338 230002689660 235414517652 294268147065 333503900007 345004034490 392357529420 444671866676 555839833345 588536294130 667007800014 690008068980 1000511700021 1111679666690 1177072588260 1334015600028 1667519500035 2001023400042 2223359333380 3335039000070 4002046800084 5002558500105 6670078000140 10005117000210 20010234000420