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124144201023102 = 2331329107157136277
BaseRepresentation
bin11100001110100010010011…
…000000001011111001111110
3121021120001212211010200221000
4130032202103000023321332
5112232434310430214402
61120011020355151130
735102060013521331
oct3416422300137176
9537501784120830
10124144201023102
1136613295054837
1211b0bb898a54a6
135436995260980
14229287b91c618
15e54420064c1c
hex70e89300be7e

124144201023102 has 256 divisors, whose sum is σ = 310420339891200. Its totient is φ = 36512090012160.

The previous prime is 124144201023047. The next prime is 124144201023149. The reversal of 124144201023102 is 201320102441421.

124144201023102 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 4 + 420 + 1 + 0 + 231 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3422100588 + ... + 3422136864.

It is an arithmetic number, because the mean of its divisors is an integer number (1212579452700).

Almost surely, 2124144201023102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124144201023102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155210169945600).

124144201023102 is an abundant number, since it is smaller than the sum of its proper divisors (186276138868098).

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

124144201023102 is a wasteful number, since it uses less digits than its factorization.

124144201023102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38008 (or 38002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 124144201023102 its reverse (201320102441421), we get a palindrome (325464303464523).

The spelling of 124144201023102 in words is "one hundred twenty-four trillion, one hundred forty-four billion, two hundred one million, twenty-three thousand, one hundred two".