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100400420624 = 2472411131151
BaseRepresentation
bin101110110000001010…
…1001101011100010000
3100121011002002211002012
41131200111031130100
53121110001424444
6114042345242052
710153005331400
oct1354025153420
9317132084065
10100400420624
1139641469039
121755ba93328
13961076a61a
144c062d4800
152929482b9e
hex176054d710

100400420624 has 60 divisors (see below), whose sum is σ = 226347441408. Its totient is φ = 43016904000.

The previous prime is 100400420623. The next prime is 100400420633. The reversal of 100400420624 is 426024004001.

It is a super-2 number, since 2×1004004206242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100400420624.

It is not an unprimeable number, because it can be changed into a prime (100400420623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3207449 + ... + 3238599.

Almost surely, 2100400420624 is an apocalyptic number.

100400420624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100400420624 is an abundant number, since it is smaller than the sum of its proper divisors (125947020784).

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

100400420624 is a wasteful number, since it uses less digits than its factorization.

100400420624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35284 (or 35271 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 100400420624 its reverse (426024004001), we get a palindrome (526424424625).

The spelling of 100400420624 in words is "one hundred billion, four hundred million, four hundred twenty thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 4111 8222 16444 28777 31151 32888 57554 62302 65776 115108 124604 201439 218057 230216 249208 402878 436114 460432 498416 805756 872228 1526399 1611512 1744456 3052798 3223024 3488912 6105596 12211192 24422384 128061761 256123522 512247044 896432327 1024494088 1792864654 2048988176 3585729308 6275026289 7171458616 12550052578 14342917232 25100105156 50200210312 100400420624