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102023013002 = 21723235316069
BaseRepresentation
bin101111100000100001…
…0111010001010001010
3100202100011022001101012
41133001002322022022
53132420342404002
6114511351123522
710241140205411
oct1370102721212
9322304261335
10102023013002
113a2a4370779
12179333735a2
13980b983761
144d1b9ca478
1529c1b45d52
hex17c10ba28a

102023013002 has 48 divisors (see below), whose sum is σ = 169878348360. Its totient is φ = 45790457856.

The previous prime is 102023012981. The next prime is 102023013013. The reversal of 102023013002 is 200310320201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 85094140681 + 16928872321 = 291709^2 + 130111^2 .

It is a super-2 number, since 2×1020230130022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6341024 + ... + 6357092.

Almost surely, 2102023013002 is an apocalyptic number.

102023013002 is a deficient number, since it is larger than the sum of its proper divisors (67855335358).

102023013002 is a wasteful number, since it uses less digits than its factorization.

102023013002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16487 (or 16464 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102023013002 its reverse (200310320201), we get a palindrome (302333333203).

The spelling of 102023013002 in words is "one hundred two billion, twenty-three million, thirteen thousand, two".

Divisors: 1 2 17 23 34 46 353 391 529 706 782 1058 6001 8119 8993 12002 16069 16238 17986 32138 138023 186737 273173 276046 369587 373474 546346 739174 3174529 5672357 6282979 6349058 8500501 11344714 12565958 17001002 96430069 130464211 144508517 192860138 260928422 289017034 2217891587 3000676853 4435783174 6001353706 51011506501 102023013002