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10012323100332 = 2237379113536189
BaseRepresentation
bin1001000110110010110011…
…1101100011011010101100
31022110011120000022121111210
42101230230331203122230
52303020214203202312
633143333035514420
72052236462101440
oct221545475433254
938404500277453
1010012323100332
113210225407763
1211585568b8a10
13578209218477
14268855a14820
1512569bc36e3c
hex91b2cf636ac

10012323100332 has 96 divisors (see below), whose sum is σ = 27451244943360. Its totient is φ = 2780292453120.

The previous prime is 10012323100313. The next prime is 10012323100343. The reversal of 10012323100332 is 23300132321001.

It is a super-2 number, since 2×100123231003322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10012323100299 and 10012323100308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063294 + ... + 4599482.

It is an arithmetic number, because the mean of its divisors is an integer number (285950468160).

Almost surely, 210012323100332 is an apocalyptic number.

10012323100332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012323100332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13725622471680).

10012323100332 is an abundant number, since it is smaller than the sum of its proper divisors (17438921843028).

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

10012323100332 is a wasteful number, since it uses less digits than its factorization.

10012323100332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537151 (or 3537149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 10012323100332 its reverse (23300132321001), we get a palindrome (33312455421333).

The spelling of 10012323100332 in words is "ten trillion, twelve billion, three hundred twenty-three million, one hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 911 1036 1554 1822 2733 3108 3644 5466 6377 10932 12754 19131 25508 33707 38262 67414 76524 101121 134828 202242 235949 404484 471898 707847 943796 1415694 2831388 3536189 7072378 10608567 14144756 21217134 24753323 42434268 49506646 74259969 99013292 130838993 148519938 261677986 297039876 392516979 523355972 785033958 915872951 1570067916 1831745902 2747618853 3221468179 3663491804 5495237706 6442936358 9664404537 10990475412 12885872716 19328809074 22550277253 38657618148 45100554506 67650831759 90201109012 119194322623 135301663518 238388645246 270603327036 357582967869 476777290492 715165935738 834360258361 1430331871476 1668720516722 2503080775083 3337441033444 5006161550166 10012323100332