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102153431424 = 2731137653623
BaseRepresentation
bin101111100100011010…
…0011010100110000000
3100202200020200222211010
41133020310122212000
53133202234301144
6114532330320520
710244312561142
oct1371064324600
9322606628733
10102153431424
113a360a48aa0
121796ab89140
13982c9b7815
144d31058c92
1529cd3085b9
hex17c8d1a980

102153431424 has 128 divisors (see below), whose sum is σ = 304013594880. Its totient is φ = 30118901760.

The previous prime is 102153431363. The next prime is 102153431431. The reversal of 102153431424 is 424134351201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 102153431391 and 102153431400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170524 + ... + 483099.

It is an arithmetic number, because the mean of its divisors is an integer number (2375106210).

Almost surely, 2102153431424 is an apocalyptic number.

It is an amenable number.

102153431424 is an abundant number, since it is smaller than the sum of its proper divisors (201860163456).

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

102153431424 is a wasteful number, since it uses less digits than its factorization.

102153431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653688 (or 653676 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 102153431424 its reverse (424134351201), we get a palindrome (526287782625).

The spelling of 102153431424 in words is "one hundred two billion, one hundred fifty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 26048 39072 52096 78144 156288 653623 1307246 1960869 2614492 3921738 5228984 7189853 7843476 10457968 14379706 15686952 20915936 21569559 24184051 28759412 31373904 41831872 43139118 48368102 57518824 62747808 72552153 83663744 86278236 96736204 115037648 125495616 145104306 172556472 193472408 230075296 250991232 266024561 290208612 345112944 386944816 460150592 532049122 580417224 690225888 773889632 798073683 920301184 1064098244 1160834448 1380451776 1547779264 1596147366 2128196488 2321668896 2760903552 3095558528 3192294732 4256392976 4643337792 6384589464 8512785952 9286675584 12769178928 17025571904 25538357856 34051143808 51076715712 102153431424