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320122103312 = 241119770113171
BaseRepresentation
bin1001010100010001100…
…00111010011000010000
31010121021212012210020202
410222020300322120100
520221102224301222
6403021223354332
732061631660514
oct4521060723020
91117255183222
10320122103312
11113843644350
12520602b29a8
13242588b890b
14116cb730144
1584d8ee8892
hex4a88c3a610

320122103312 has 80 divisors (see below), whose sum is σ = 681078176064. Its totient is φ = 144553920000.

The previous prime is 320122103309. The next prime is 320122103387. The reversal of 320122103312 is 213301221023.

It is a super-2 number, since 2×3201221033122 (a number of 24 digits) contains 22 as substring.

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, 24298487 + ... + 24311657.

Almost surely, 2320122103312 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 320122103312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340539088032).

320122103312 is an abundant number, since it is smaller than the sum of its proper divisors (360956072752).

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

320122103312 is a wasteful number, since it uses less digits than its factorization.

320122103312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14088 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 320122103312 its reverse (213301221023), we get a palindrome (533423324335).

The spelling of 320122103312 in words is "three hundred twenty billion, one hundred twenty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 88 176 197 394 701 788 1402 1576 2167 2804 3152 4334 5608 7711 8668 11216 13171 15422 17336 26342 30844 34672 52684 61688 105368 123376 138097 144881 210736 276194 289762 552388 579524 1104776 1159048 1519067 2209552 2318096 2594687 3038134 5189374 6076268 9232871 10378748 12152536 18465742 20757496 24305072 28541557 36931484 41514992 57083114 73862968 101561581 114166228 147725936 203123162 228332456 406246324 456664912 812492648 1624985296 1818875587 3637751174 7275502348 14551004696 20007631457 29102009392 40015262914 80030525828 160061051656 320122103312