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1020211211112 = 2333710710737257
BaseRepresentation
bin11101101100010010101…
…00111010101101101000
310121112100021101022220120
432312021110322231220
5113203343032223422
62100402322523240
7133464533132532
oct16661124725550
93545307338816
101020211211112
1136373a6a4a55
12145882806520
1375289654662
14375427cc852
151b810d0345c
hexed8953ab68

1020211211112 has 64 divisors (see below), whose sum is σ = 2643942409920. Its totient is φ = 327786951168.

The previous prime is 1020211211099. The next prime is 1020211211143. The reversal of 1020211211112 is 2111121120201.

It is a happy number.

It is a super-2 number, since 2×10202112111122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020211211091 and 1020211211100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5273613 + ... + 5463644.

It is an arithmetic number, because the mean of its divisors is an integer number (41311600155).

Almost surely, 21020211211112 is an apocalyptic number.

1020211211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020211211112 is an abundant number, since it is smaller than the sum of its proper divisors (1623731198808).

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

1020211211112 is a wasteful number, since it uses less digits than its factorization.

1020211211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10737410 (or 10737406 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1020211211112 its reverse (2111121120201), we get a palindrome (3131332331313).

The spelling of 1020211211112 in words is "one trillion, twenty billion, two hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 107 111 148 214 222 296 321 428 444 642 856 888 1284 2568 3959 7918 11877 15836 23754 31672 47508 95016 10737257 21474514 32211771 42949028 64423542 85898056 128847084 257694168 397278509 794557018 1148886499 1191835527 1589114036 2297772998 2383671054 3178228072 3446659497 4595545996 4767342108 6893318994 9191091992 9534684216 13786637988 27573275976 42508800463 85017600926 127526401389 170035201852 255052802778 340070403704 510105605556 1020211211112