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23001312113031 = 3721732551354551
BaseRepresentation
bin1010011101011011010010…
…00010011011000110000111
310000102220101222201000210210
411032231221002123012013
511003323141400104111
6120530353520450503
74562534646036300
oct516555102330607
9100386358630723
1023001312113031
11736889005474a
1226b5984a79a33
13cab025900185
145973ab5097a7
1529d4b48ae0a6
hex14eb6909b187

23001312113031 has 48 divisors (see below), whose sum is σ = 35895888281088. Its totient is φ = 13062472920000.

The previous prime is 23001312113009. The next prime is 23001312113051. The reversal of 23001312113031 is 13031121310032.

It is a happy number.

It is not a de Polignac number, because 23001312113031 - 230 = 23000238371207 is a prime.

It is a super-2 number, since 2×230013121130312 (a number of 28 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 = 23001312112989 and 23001312113007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23001312113051) 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, 64697206 + ... + 65051756.

It is an arithmetic number, because the mean of its divisors is an integer number (747831005856).

Almost surely, 223001312113031 is an apocalyptic number.

23001312113031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23001312113031 is a deficient number, since it is larger than the sum of its proper divisors (12894576168057).

23001312113031 is a wasteful number, since it uses less digits than its factorization.

23001312113031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357292 (or 357285 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 23001312113031 its reverse (13031121310032), we get a palindrome (36032433423063).

The spelling of 23001312113031 in words is "twenty-three trillion, one billion, three hundred twelve million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 21 49 147 173 519 1211 2551 3633 7653 8477 17857 25431 53571 124999 354551 374997 441323 1063653 1323969 2481857 3089261 7445571 9267783 17372999 21624827 52118997 61337323 64874481 184011969 429361261 904459601 1288083783 2713378803 3005528827 6331217207 9016586481 18993651621 44318520449 132955561347 156471510973 469414532919 1095300576811 3285901730433 7667104037677 23001312113031