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10120301312 = 28116615437
BaseRepresentation
bin10010110110011011…
…11000101100000000
3222010022010120111112
421123031320230000
5131211244120222
64352121102452
7505535066432
oct113315705400
928108116445
1010120301312
114323712190
121b65327a28
13c538bb594
146c011a652
153e3722be2
hex25b378b00

10120301312 has 72 divisors (see below), whose sum is σ = 22074930192. Its totient is φ = 4592332800.

The previous prime is 10120301299. The next prime is 10120301407. The reversal of 10120301312 is 21310302101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1858658 + ... + 1864094.

Almost surely, 210120301312 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 10120301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11037465096).

10120301312 is an abundant number, since it is smaller than the sum of its proper divisors (11954628880).

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

10120301312 is an equidigital number, since it uses as much as digits as its factorization.

10120301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6125 (or 6111 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10120301312 its reverse (21310302101), we get a palindrome (31430603413).

The spelling of 10120301312 in words is "ten billion, one hundred twenty million, three hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 661 704 1322 1408 2644 2816 5288 5437 7271 10576 10874 14542 21152 21748 29084 42304 43496 58168 59807 84608 86992 116336 119614 169216 173984 232672 239228 347968 465344 478456 695936 930688 956912 1391872 1861376 1913824 3593857 3827648 7187714 7655296 14375428 15310592 28750856 39532427 57501712 79064854 115003424 158129708 230006848 316259416 460013696 632518832 920027392 1265037664 2530075328 5060150656 10120301312