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102031011313 = 72111953317593
BaseRepresentation
bin101111100000110000…
…1011010110111110001
3100202100201100101222221
41133001201122313301
53132424414330223
6114512234401041
710241265200200
oct1370141326761
9322321311887
10102031011313
113a2a8933a50
1217935b90181
13981052419a
144d1caad237
1529c26c5b5d
hex17c185adf1

102031011313 has 96 divisors (see below), whose sum is σ = 139538298240. Its totient is φ = 73541744640.

The previous prime is 102031011293. The next prime is 102031011361. The reversal of 102031011313 is 313110130201.

It is not a de Polignac number, because 102031011313 - 225 = 101997456881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102031015313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172058745 + ... + 172059337.

It is an arithmetic number, because the mean of its divisors is an integer number (1453523940).

Almost surely, 2102031011313 is an apocalyptic number.

It is an amenable number.

102031011313 is a deficient number, since it is larger than the sum of its proper divisors (37507286927).

102031011313 is a wasteful number, since it uses less digits than its factorization.

102031011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 102031011313 its reverse (313110130201), we get a palindrome (415141141514).

The spelling of 102031011313 in words is "one hundred two billion, thirty-one million, eleven thousand, three hundred thirteen".

Divisors: 1 7 11 19 49 53 77 133 209 317 371 539 583 593 931 1007 1463 2219 2597 3487 4081 4151 6023 6523 7049 10241 11077 11267 15533 16801 24409 28567 29057 31429 42161 45661 49343 66253 77539 78869 117607 123937 170863 184811 187981 220003 295127 319219 319627 345719 463771 542773 552083 597151 823249 867559 1293677 1315867 1540021 2067791 2234533 2420033 3246397 3511409 3571639 4180057 6072913 6568661 9055739 9211069 9962993 14474537 15641731 16940231 24579863 25001473 29260399 39288029 45980627 69740951 101321759 109592923 172059041 175010311 189296867 275016203 321864389 488186657 767150461 1325078069 1925113421 2082265537 5370053227 9275546483 14575858759 102031011313