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10111121020 = 22571113505051
BaseRepresentation
bin10010110101010101…
…10111011001111100
3222002122212011111201
421122222313121330
5131201421333040
64351152225244
7505364052640
oct113252673174
928078764451
1010111121020
114319511970
121b6223b224
13c51a25b60
146bcc0ac20
153e2a0ca9a
hex25aab767c

10111121020 has 96 divisors (see below), whose sum is σ = 28509175296. Its totient is φ = 2909088000.

The previous prime is 10111121003. The next prime is 10111121039. The reversal of 10111121020 is 2012111101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10111120988 and 10111121006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232506 + ... + 272545.

It is an arithmetic number, because the mean of its divisors is an integer number (296970576).

Almost surely, 210111121020 is an apocalyptic number.

10111121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111121020 is an abundant number, since it is smaller than the sum of its proper divisors (18398054276).

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

10111121020 is a wasteful number, since it uses less digits than its factorization.

10111121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505091 (or 505089 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10111121020 its reverse (2012111101), we get a palindrome (12123232121).

It can be divided in two parts, 10111 and 121020, that added together give a palindrome (131131).

The spelling of 10111121020 in words is "ten billion, one hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 505051 1010102 2020204 2525255 3535357 5050510 5555561 6565663 7070714 10101020 11111122 13131326 14141428 17676785 22222244 26262652 27777805 32828315 35353570 38888927 45959641 55555610 65656630 70707140 72222293 77777854 91919282 111111220 131313260 144444586 155555708 183838564 194444635 229798205 288889172 361111465 388889270 459596410 505556051 722222930 777778540 919192820 1011112102 1444445860 2022224204 2527780255 5055560510 10111121020