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102120111002 = 272132912492213
BaseRepresentation
bin101111100011011010…
…1010011101110011010
3100202120221000010210102
41133012311103232122
53133120222023002
6114525140215402
710243426423100
oct1370665235632
9322527003712
10102120111002
113a34415a958
121795b99a562
139825b1c3b0
144d2a863c70
1529ca425a02
hex17c6d53b9a

102120111002 has 96 divisors (see below), whose sum is σ = 198761850000. Its totient is φ = 38957248512.

The previous prime is 102120110909. The next prime is 102120111011. The reversal of 102120111002 is 200111021201.

It can be written as a sum of positive squares in 8 ways, for example, as 63338292241 + 38781818761 = 251671^2 + 196931^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46144448 + ... + 46146660.

Almost surely, 2102120111002 is an apocalyptic number.

102120111002 is a deficient number, since it is larger than the sum of its proper divisors (96641738998).

102120111002 is a wasteful number, since it uses less digits than its factorization.

102120111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3520 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102120111002 its reverse (200111021201), we get a palindrome (302231132203).

The spelling of 102120111002 in words is "one hundred two billion, one hundred twenty million, one hundred eleven thousand, two".

Divisors: 1 2 7 13 14 26 29 49 58 91 98 182 203 377 406 637 754 1249 1274 1421 2213 2498 2639 2842 4426 5278 8743 15491 16237 17486 18473 28769 30982 32474 36221 36946 57538 61201 64177 72442 108437 113659 122402 128354 201383 216874 227318 253547 402766 449239 470873 507094 795613 834301 898478 941746 1409681 1591226 1668602 1774829 2764037 2819362 3144673 3296111 3549658 5528074 5840107 6289346 6592222 11680214 19348259 23072777 35932481 38696518 40880749 46145554 71864962 80157073 81761498 135437813 160314146 251527367 270875626 503054734 561099511 1042041949 1122199022 1760691569 2084083898 3521383138 3927696577 7294293643 7855393154 14588587286 51060055501 102120111002