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10022121020220 = 2235977039244639
BaseRepresentation
bin1001000111010111010011…
…1101101001101100111100
31022111002211211211111211120
42101311310331221230330
52303200300440121340
633152033203150540
72053034334043521
oct221656475515474
938432754744746
1010022121020220
1132143a3048a11
12115a430075450
1357910b0a08ba
14269104db3148
15125a71ec94d0
hex91d74f69b3c

10022121020220 has 96 divisors (see below), whose sum is σ = 28355380838400. Its totient is φ = 2644626806784.

The previous prime is 10022121020189. The next prime is 10022121020227. The reversal of 10022121020220 is 2202012122001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10022121020220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022121020227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40844661 + ... + 41089299.

It is an arithmetic number, because the mean of its divisors is an integer number (295368550400).

Almost surely, 210022121020220 is an apocalyptic number.

10022121020220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022121020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177690419200).

10022121020220 is an abundant number, since it is smaller than the sum of its proper divisors (18333259818180).

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

10022121020220 is a wasteful number, since it uses less digits than its factorization.

10022121020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251787 (or 251785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10022121020220 its reverse (2202012122001), we get a palindrome (12224133142221).

The spelling of 10022121020220 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 194 291 388 485 582 970 1164 1455 1940 2910 5820 7039 14078 21117 28156 35195 42234 70390 84468 105585 140780 211170 244639 422340 489278 682783 733917 978556 1223195 1365566 1467834 2048349 2446390 2731132 2935668 3413915 3669585 4096698 4892780 6827830 7339170 8193396 10241745 13655660 14678340 20483490 23729983 40966980 47459966 71189949 94919932 118649915 142379898 237299830 284759796 355949745 474599660 711899490 1423798980 1722013921 3444027842 5166041763 6888055684 8610069605 10332083526 17220139210 20664167052 25830208815 34440278420 51660417630 103320835260 167035350337 334070700674 501106051011 668141401348 835176751685 1002212102022 1670353503370 2004424204044 2505530255055 3340707006740 5011060510110 10022121020220