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102321313002 = 23229373525517
BaseRepresentation
bin101111101001011010…
…0110101010011101010
3100210002221121021001100
41133102310311103222
53134023224004002
6115001124502230
710251421544616
oct1372264652352
9323087537040
10102321313002
113a4377939a7
12179b724a976
13985870782c
144d4947a346
1529dce1b11c
hex17d2d354ea

102321313002 has 48 divisors (see below), whose sum is σ = 229956166440. Its totient is φ = 32842647936.

The previous prime is 102321313001. The next prime is 102321313019. The reversal of 102321313002 is 200313123201.

102321313002 is a `hidden beast` number, since 1 + 0 + 232 + 131 + 300 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 78104039841 + 24217273161 = 279471^2 + 155619^2 .

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

It is not an unprimeable number, because it can be changed into a prime (102321313001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68053 + ... + 457464.

Almost surely, 2102321313002 is an apocalyptic number.

102321313002 is an abundant number, since it is smaller than the sum of its proper divisors (127634853438).

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

102321313002 is a wasteful number, since it uses less digits than its factorization.

102321313002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525927 (or 525924 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102321313002 its reverse (200313123201), we get a palindrome (302634436203).

The spelling of 102321313002 in words is "one hundred two billion, three hundred twenty-one million, three hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 373 522 746 1119 2238 3357 6714 10817 21634 32451 64902 97353 194706 525517 1051034 1576551 3153102 4729653 9459306 15239993 30479986 45719979 91439958 137159937 196017841 274319874 392035682 588053523 1176107046 1764160569 3528321138 5684517389 11369034778 17053552167 34107104334 51160656501 102321313002