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10112313231999 = 32113725033110281
BaseRepresentation
bin1001001100100111010011…
…0101101000101001111111
31022210201122111101120221200
42103021310311220221333
52311140004141410444
633301311011230543
72062406356146336
oct223116465505177
938721574346850
1010112313231999
113249676212610
121173a012a8453
13584782981254
1426d61d626d1d
151280a0172969
hex93274d68a7f

10112313231999 has 48 divisors (see below), whose sum is σ = 16366019957664. Its totient is φ = 5962742553600.

The previous prime is 10112313231989. The next prime is 10112313232001. The reversal of 10112313231999 is 99913231321101.

10112313231999 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 231 + 323 + 1 + 9 + 99 = 666.

It is a de Polignac number, because none of the positive numbers 2k-10112313231999 is a prime.

It is a super-2 number, since 2×101123132319992 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112313231929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91640739 + ... + 91751019.

It is an arithmetic number, because the mean of its divisors is an integer number (340958749118).

Almost surely, 210112313231999 is an apocalyptic number.

10112313231999 is a deficient number, since it is larger than the sum of its proper divisors (6253706725665).

10112313231999 is a wasteful number, since it uses less digits than its factorization.

10112313231999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135368 (or 135365 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

The spelling of 10112313231999 in words is "ten trillion, one hundred twelve billion, three hundred thirteen million, two hundred thirty-one thousand, nine hundred ninety-nine".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 3663 25033 75099 110281 225297 275363 330843 826089 926221 992529 1213091 2478267 2778663 3639273 4080397 8335989 10188431 10917819 12241191 30565293 36723573 44884367 91695879 134653101 403959303 2760664273 8281992819 24845978457 30367307003 91101921009 102144578101 273305763027 306433734303 919301202909 1123590359111 3370771077333 10112313231999