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421012100441124 = 223223971348786593
BaseRepresentation
bin101111110111010001000010…
…0101100010110010000100100
32001012200100211011021010221200
41133232202010230112100210
5420140330240203103444
64051230142222042500
7154452056216530263
oct13756420454262044
92035610734233850
10421012100441124
11112169257a33095
123b276b70719430
13150bc3699cb34a
1475d7146dd45da
1533a1756bdb969
hex17ee884b16424

421012100441124 has 36 divisors (see below), whose sum is σ = 1064229493064556. Its totient is φ = 140336778498048.

The previous prime is 421012100441087. The next prime is 421012100441159. The reversal of 421012100441124 is 421144001210124.

421012100441124 is a `hidden beast` number, since 4 + 2 + 1 + 0 + 1 + 210 + 0 + 441 + 1 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 184289258801124 + 236722841640000 = 13575318^2 + 15385800^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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, 15763629 + ... + 33022964.

Almost surely, 2421012100441124 is an apocalyptic number.

It is an amenable number.

421012100441124 is an abundant number, since it is smaller than the sum of its proper divisors (643217392623432).

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

421012100441124 is a wasteful number, since it uses less digits than its factorization.

421012100441124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49026316 (or 49026311 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 421012100441124 its reverse (421144001210124), we get a palindrome (842156101651248).

The spelling of 421012100441124 in words is "four hundred twenty-one trillion, twelve billion, one hundred million, four hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 239713 479426 719139 958852 1438278 2157417 2876556 4314834 8629668 48786593 97573186 146359779 195146372 292719558 439079337 585439116 878158674 1756317348 11694780567809 23389561135618 35084341703427 46779122271236 70168683406854 105253025110281 140337366813708 210506050220562 421012100441124