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10002123144 = 23321310686029
BaseRepresentation
bin10010101000010110…
…00100100110001000
3221211001202111112100
421110023010212020
5130441020420034
64332300113400
7502601433606
oct112413044610
927731674470
1010002123144
114272a35182
121b31835860
13c35281980
146ac556876
153d817c099
hex2542c4988

10002123144 has 48 divisors (see below), whose sum is σ = 29172861900. Its totient is φ = 3077576064.

The previous prime is 10002123121. The next prime is 10002123181. The reversal of 10002123144 is 44132120001.

It can be written as a sum of positive squares in 2 ways, for example, as 9768950244 + 233172900 = 98838^2 + 15270^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5342079 + ... + 5343950.

Almost surely, 210002123144 is an apocalyptic number.

It is an amenable number.

10002123144 is an abundant number, since it is smaller than the sum of its proper divisors (19170738756).

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

10002123144 is a wasteful number, since it uses less digits than its factorization.

10002123144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10686054 (or 10686047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002123144 its reverse (44132120001), we get a palindrome (54134243145).

The spelling of 10002123144 in words is "ten billion, two million, one hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 10686029 21372058 32058087 42744116 64116174 85488232 96174261 128232348 138918377 192348522 256464696 277836754 384697044 416755131 555673508 769394088 833510262 1111347016 1250265393 1667020524 2500530786 3334041048 5001061572 10002123144