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10121124402 = 23219197150223
BaseRepresentation
bin10010110110100010…
…00001101000110010
3222010100200101120100
421123101001220302
5131212001440102
64352150453230
7505545065214
oct113321015062
928110611510
1010121124402
114324124624
121b65664216
13c53b1910c
146c02925b4
153e3836a1c
hex25b441a32

10121124402 has 48 divisors (see below), whose sum is σ = 23200594560. Its totient is φ = 3179899296.

The previous prime is 10121124389. The next prime is 10121124407. The reversal of 10121124402 is 20442112101.

10121124402 is a `hidden beast` number, since 10 + 1 + 211 + 2 + 440 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10121124407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7738 + ... + 142485.

It is an arithmetic number, because the mean of its divisors is an integer number (483345720).

Almost surely, 210121124402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121124402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600297280).

10121124402 is an abundant number, since it is smaller than the sum of its proper divisors (13079470158).

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

10121124402 is a wasteful number, since it uses less digits than its factorization.

10121124402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150447 (or 150444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10121124402 its reverse (20442112101), we get a palindrome (30563236503).

The spelling of 10121124402 in words is "ten billion, one hundred twenty-one million, one hundred twenty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 197 342 394 591 1182 1773 3546 3743 7486 11229 22458 33687 67374 150223 300446 450669 901338 1352007 2704014 2854237 5708474 8562711 17125422 25688133 29593931 51376266 59187862 88781793 177563586 266345379 532690758 562284689 1124569378 1686854067 3373708134 5060562201 10121124402