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100142134224 = 24311217242103
BaseRepresentation
bin101110101000011101…
…1111011001111010000
3100120111002002111202020
41131100323323033100
53120042341243344
6114001001251440
710143421044666
oct1352073731720
9316432074666
10100142134224
1139519695700
12174a9493b80
13959c0b6332
144bbdc9cc36
152911963719
hex1750efb3d0

100142134224 has 60 divisors (see below), whose sum is σ = 284356779168. Its totient is φ = 30346099520.

The previous prime is 100142134207. The next prime is 100142134241. The reversal of 100142134224 is 422431241001.

It is an interprime number because it is at equal distance from previous prime (100142134207) and next prime (100142134241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100142134194 and 100142134203.

It is a congruent number.

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, 8615244 + ... + 8626859.

Almost surely, 2100142134224 is an apocalyptic number.

It is an amenable number.

100142134224 is an abundant number, since it is smaller than the sum of its proper divisors (184214644944).

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

100142134224 is a wasteful number, since it uses less digits than its factorization.

100142134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17242136 (or 17242119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100142134224 its reverse (422431241001), we get a palindrome (522573375225).

The spelling of 100142134224 in words is "one hundred billion, one hundred forty-two million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1452 1936 2904 5808 17242103 34484206 51726309 68968412 103452618 137936824 189663133 206905236 275873648 379326266 413810472 568989399 758652532 827620944 1137978798 1517305064 2086294463 2275957596 3034610128 4172588926 4551915192 6258883389 8345177852 9103830384 12517766778 16690355704 25035533556 33380711408 50071067112 100142134224