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1320102112 = 25723892879
BaseRepresentation
bin100111010101111…
…0010100011100000
310102000000010122211
41032223302203200
510200421231422
6334554211504
744466453130
oct11653624340
93360003584
101320102112
1161818828a
1230a123b94
13180655a14
14c7474ac0
157ad61577
hex4eaf28e0

1320102112 has 96 divisors (see below), whose sum is σ = 3135283200. Its totient is φ = 534893568.

The previous prime is 1320102097. The next prime is 1320102131. The reversal of 1320102112 is 2112010231.

It is a super-2 number, since 2×13201021122 = 3485339172213721088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1320102092 and 1320102101.

It is a congruent number.

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, 457089 + ... + 459967.

It is an arithmetic number, because the mean of its divisors is an integer number (32659200).

Almost surely, 21320102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

1320102112 is an abundant number, since it is smaller than the sum of its proper divisors (1815181088).

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

1320102112 is a wasteful number, since it uses less digits than its factorization.

1320102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1320102112 is about 36333.2094921437. The cubic root of 1320102112 is about 1096.9895958464.

Adding to 1320102112 its reverse (2112010231), we get a palindrome (3432112343).

The spelling of 1320102112 in words is "one billion, three hundred twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 89 92 112 161 178 184 224 322 356 368 623 644 712 736 1246 1288 1424 2047 2492 2576 2848 2879 4094 4984 5152 5758 8188 9968 11516 14329 16376 19936 20153 23032 28658 32752 40306 46064 57316 65504 66217 80612 92128 114632 132434 161224 229264 256231 264868 322448 458528 463519 512462 529736 644896 927038 1024924 1059472 1793617 1854076 2049848 2118944 3587234 3708152 4099696 5893313 7174468 7416304 8199392 11786626 14348936 14832608 23573252 28697872 41253191 47146504 57395744 82506382 94293008 165012764 188586016 330025528 660051056 1320102112