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103400010324 = 223313312375701
BaseRepresentation
bin110000001001100011…
…1101111001001010100
3100212220010100202121000
41200103013233021110
53143230400312244
6115300141023300
710320230405022
oct1402307571124
9325803322530
10103400010324
113a940679196
1218058554b30
13999b03a180
14500c831712
152a52995169
hex18131ef254

103400010324 has 96 divisors (see below), whose sum is σ = 298008058880. Its totient is φ = 30789072000.

The previous prime is 103400010319. The next prime is 103400010361. The reversal of 103400010324 is 423010004301.

103400010324 is a `hidden beast` number, since 1 + 0 + 340 + 0 + 0 + 1 + 0 + 324 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103400010297 and 103400010306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1144327 + ... + 1231374.

Almost surely, 2103400010324 is an apocalyptic number.

It is an amenable number.

103400010324 is an abundant number, since it is smaller than the sum of its proper divisors (194608048556).

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

103400010324 is a wasteful number, since it uses less digits than its factorization.

103400010324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375758 (or 2375750 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103400010324 its reverse (423010004301), we get a palindrome (526410014625).

The spelling of 103400010324 in words is "one hundred three billion, four hundred million, ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 31 36 39 52 54 62 78 93 108 117 124 156 186 234 279 351 372 403 468 558 702 806 837 1116 1209 1404 1612 1674 2418 3348 3627 4836 7254 10881 14508 21762 43524 2375701 4751402 7127103 9502804 14254206 21381309 28508412 30884113 42762618 61768226 64143927 73646731 85525236 92652339 123536452 128287854 147293462 185304678 220940193 256575708 277957017 294586924 370609356 441880386 555914034 662820579 833871051 883760772 957407503 1111828068 1325641158 1667742102 1914815006 1988461737 2651282316 2872222509 3335484204 3829630012 3976923474 5744445018 7953846948 8616667527 11488890036 17233335054 25850002581 34466670108 51700005162 103400010324