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102525432144 = 24319559120107
BaseRepresentation
bin101111101111011111…
…1011111000101010000
3100210122011200120212120
41133132333133011100
53134433002312034
6115033255454240
710256450536302
oct1373677370520
9323564616776
10102525432144
113a531a2a703
1217a53687380
13988baa49a5
144d68611972
152a00cdac49
hex17defdf150

102525432144 has 80 divisors (see below), whose sum is σ = 278860961280. Its totient is φ = 32369051520.

The previous prime is 102525432127. The next prime is 102525432161. The reversal of 102525432144 is 441234525201.

102525432144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102525432127) and next prime (102525432161).

It is a super-2 number, since 2×1025254321442 (a number of 23 digits) contains 22 as substring.

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, 5088939 + ... + 5109045.

It is an arithmetic number, because the mean of its divisors is an integer number (3485762016).

Almost surely, 2102525432144 is an apocalyptic number.

It is an amenable number.

102525432144 is an abundant number, since it is smaller than the sum of its proper divisors (176335529136).

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

102525432144 is a wasteful number, since it uses less digits than its factorization.

102525432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25728 (or 25722 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 102525432144 its reverse (441234525201), we get a palindrome (543759957345).

The spelling of 102525432144 in words is "one hundred two billion, five hundred twenty-five million, four hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 5591 11182 16773 20107 22364 33546 40214 44728 60321 67092 80428 89456 106229 120642 134184 160856 212458 241284 268368 318687 321712 382033 424916 482568 637374 764066 849832 965136 1146099 1274748 1528132 1699664 2292198 2549496 3056264 4584396 5098992 6112528 9168792 18337584 112418237 224836474 337254711 449672948 674509422 899345896 1349018844 1798691792 2135946503 2698037688 4271893006 5396075376 6407839509 8543786012 12815679018 17087572024 25631358036 34175144048 51262716072 102525432144