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23002430101332 = 2231137379121710211
BaseRepresentation
bin1010011101011101010111…
…01011001101011101010100
310000110000021220101201102220
411032232223223031131110
511003332434101220312
6120531100455102340
74562604442552353
oct516565353153524
9100400256351386
1023002430101332
117369304135920
1226b60373719b0
13cab17340b706
14597475bab99a
1529d52cae9c8c
hex14ebabacd754

23002430101332 has 192 divisors, whose sum is σ = 60348233917440. Its totient is φ = 6757928755200.

The previous prime is 23002430101303. The next prime is 23002430101381. The reversal of 23002430101332 is 23310103420032.

It is a super-2 number, since 2×230024301013322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2252705707 + ... + 2252715917.

It is an arithmetic number, because the mean of its divisors is an integer number (314313718320).

Almost surely, 223002430101332 is an apocalyptic number.

23002430101332 is a gapful number since it is divisible by the number (22) 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 23002430101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30174116958720).

23002430101332 is an abundant number, since it is smaller than the sum of its proper divisors (37345803816108).

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

23002430101332 is a wasteful number, since it uses less digits than its factorization.

23002430101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862 (or 11860 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23002430101332 its reverse (23310103420032), we get a palindrome (46312533521364).

The spelling of 23002430101332 in words is "twenty-three trillion, two billion, four hundred thirty million, one hundred one thousand, three hundred thirty-two".