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112002112021020 = 223513600723904187
BaseRepresentation
bin11001011101110110000110…
…000110011110001000011100
3112200120022000202112102020220
4121131312012012132020130
5104140020311134133040
61034113020540441340
732406612514066404
oct3135660606361034
9480508022472226
10112002112021020
113276191338a6a1
121068a914849250
134a659a52720c0
141d92d070c9804
15ce3672d2e2d0
hex65dd8619e21c

112002112021020 has 96 divisors (see below), whose sum is σ = 337785682257408. Its totient is φ = 27565159894272.

The previous prime is 112002112020941. The next prime is 112002112021091. The reversal of 112002112021020 is 20120211200211.

It is a super-2 number, since 2×1120021120210202 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7266634 + ... + 16637553.

It is an arithmetic number, because the mean of its divisors is an integer number (3518600856848).

Almost surely, 2112002112021020 is an apocalyptic number.

112002112021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002112021020 is an abundant number, since it is smaller than the sum of its proper divisors (225783570236388).

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

112002112021020 is a wasteful number, since it uses less digits than its factorization.

112002112021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23910219 (or 23910217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112002112021020 its reverse (20120211200211), we get a palindrome (132122323221231).

The spelling of 112002112021020 in words is "one hundred twelve trillion, two billion, one hundred twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 6007 12014 18021 24028 30035 36042 60070 72084 78091 90105 120140 156182 180210 234273 312364 360420 390455 468546 780910 937092 1171365 1561820 2342730 4685460 23904187 47808374 71712561 95616748 119520935 143425122 239041870 286850244 310754431 358562805 478083740 621508862 717125610 932263293 1243017724 1434251220 1553772155 1864526586 3107544310 3729053172 4661316465 6215088620 9322632930 18645265860 143592451309 287184902618 430777353927 574369805236 717962256545 861554707854 1435924513090 1723109415708 1866701867017 2153886769635 2871849026180 3733403734034 4307773539270 5600105601051 7466807468068 8615547078540 9333509335085 11200211202102 18667018670170 22400422404204 28000528005255 37334037340340 56001056010510 112002112021020