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23120001300000 = 253551137189353
BaseRepresentation
bin1010100000111000010110…
…11101101111011000100000
310000212020202122100102212110
411100130023131233120200
511012244230313100000
6121101103145555320
74604236120344333
oct520341335573040
9100766678312773
1023120001300000
117404156aa6610
1227149897a5b40
13cb928c364917
1459d02a71861a
152a160e73a850
hex15070b76f620

23120001300000 has 576 divisors, whose sum is σ = 84990836988288. Its totient is φ = 5453337600000.

The previous prime is 23120001299981. The next prime is 23120001300001. The reversal of 23120001300000 is 310002132.

It is a happy number.

It is a super-2 number, since 2×231200013000002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (23120001300001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122005324 + ... + 122194676.

It is an arithmetic number, because the mean of its divisors is an integer number (147553536438).

Almost surely, 223120001300000 is an apocalyptic number.

23120001300000 is a gapful number since it is divisible by the number (20) 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 23120001300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42495418494144).

23120001300000 is an abundant number, since it is smaller than the sum of its proper divisors (61870835688288).

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

23120001300000 is a wasteful number, since it uses less digits than its factorization.

23120001300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189439 (or 189411 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23120001300000 its reverse (310002132), we get a palindrome (23120311302132).

The spelling of 23120001300000 in words is "twenty-three trillion, one hundred twenty billion, one million, three hundred thousand".