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23000212301220 = 22335731116369257
BaseRepresentation
bin1010011101011001001110…
…11110111110010110100100
310000102210120100012210122000
411032230213132332112210
511003313413322114340
6120530052432005300
74562465462556000
oct516544736762644
9100383510183560
1023000212301220
117368376258870
1226b5718690830
13caababab705b
14597305419700
1529d44d063d30
hex14eb277be5a4

23000212301220 has 768 divisors, whose sum is σ = 91593427968000. Its totient is φ = 4749875665920.

The previous prime is 23000212301117. The next prime is 23000212301303. The reversal of 23000212301220 is 2210321200032.

23000212301220 is a `hidden beast` number, since 2 + 300 + 0 + 212 + 30 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23000212301193 and 23000212301202.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 332064832 + ... + 332134088.

It is an arithmetic number, because the mean of its divisors is an integer number (119262276000).

Almost surely, 223000212301220 is an apocalyptic number.

23000212301220 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 23000212301220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45796713984000).

23000212301220 is an abundant number, since it is smaller than the sum of its proper divisors (68593215666780).

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

23000212301220 is a wasteful number, since it uses less digits than its factorization.

23000212301220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69470 (or 69448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23000212301220 its reverse (2210321200032), we get a palindrome (25210533501252).

The spelling of 23000212301220 in words is "twenty-three trillion, two hundred twelve million, three hundred one thousand, two hundred twenty".