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30100103424 = 283241318641
BaseRepresentation
bin11100000010000110…
…110010000100000000
32212200201122200110100
4130002012302010000
5443121111302144
621454445402400
72113623441366
oct340206620400
985621580410
1030100103424
11118467a6236
125a00569400
132ab90439b1
141657865636
15bb27ee269
hex7021b2100

30100103424 has 108 divisors (see below), whose sum is σ = 88903029852. Its totient is φ = 9788620800.

The previous prime is 30100103419. The next prime is 30100103441. The reversal of 30100103424 is 42430100103.

It can be written as a sum of positive squares in 2 ways, for example, as 14584909824 + 15515193600 = 120768^2 + 124560^2 .

It is a super-2 number, since 2×301001034242 (a number of 22 digits) contains 22 as substring.

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 = 30100103397 and 30100103406.

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, 64857 + ... + 253784.

Almost surely, 230100103424 is an apocalyptic number.

It is an amenable number.

30100103424 is an abundant number, since it is smaller than the sum of its proper divisors (58802926428).

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

30100103424 is a wasteful number, since it uses less digits than its factorization.

30100103424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318704 (or 318687 counting only the distinct ones).

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

Adding to 30100103424 its reverse (42430100103), we get a palindrome (72530203527).

The spelling of 30100103424 in words is "thirty billion, one hundred million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 576 656 738 768 984 1152 1312 1476 1968 2304 2624 2952 3936 5248 5904 7872 10496 11808 15744 23616 31488 47232 94464 318641 637282 955923 1274564 1911846 2549128 2867769 3823692 5098256 5735538 7647384 10196512 11471076 13064281 15294768 20393024 22942152 26128562 30589536 39192843 40786048 45884304 52257124 61179072 78385686 81572096 91768608 104514248 117578529 122358144 156771372 183537216 209028496 235157058 244716288 313542744 367074432 418056992 470314116 627085488 734148864 836113984 940628232 1254170976 1672227968 1881256464 2508341952 3344455936 3762512928 5016683904 7525025856 10033367808 15050051712 30100103424