Search a number
-
+
102256203485655 = 3452277879531483
BaseRepresentation
bin10111010000000001100000…
…101011110101000111010111
3111102001121010122012221220000
4113100001200223311013113
5101400331201043020110
61001251503521342343
730352524022301142
oct2720014053650727
9442047118187800
10102256203485655
112a64468106585a
12b575b2b7979b3
134509945a3c96b
141b37325d31059
15bc4db9ee61c0
hex5d0060af51d7

102256203485655 has 160 divisors (see below), whose sum is σ = 184663031503104. Its totient is φ = 54133971300864.

The previous prime is 102256203485587. The next prime is 102256203485687. The reversal of 102256203485655 is 556584302652201.

102256203485655 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 5 + 620 + 3 + 4 + 8 + 5 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 102256203485655 - 211 = 102256203483607 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68952260544 + ... + 68952262026.

Almost surely, 2102256203485655 is an apocalyptic number.

102256203485655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102256203485655 is a deficient number, since it is larger than the sum of its proper divisors (82406828017449).

102256203485655 is a wasteful number, since it uses less digits than its factorization.

102256203485655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 54.

The spelling of 102256203485655 in words is "one hundred two trillion, two hundred fifty-six billion, two hundred three million, four hundred eighty-five thousand, six hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 81 135 227 405 681 787 953 1135 1483 2043 2361 2859 3405 3935 4449 4765 6129 7083 7415 8577 10215 11805 13347 14295 18387 21249 22245 25731 30645 35415 40041 42885 63747 66735 77193 91935 106245 120123 128655 178649 200205 216331 318735 336641 385965 535947 600615 648993 750011 893245 1009923 1081655 1167121 1413299 1607841 1683205 1946979 2250033 2679735 3029769 3244965 3501363 3750055 4239897 4823523 5049615 5835605 5840937 6750099 7066495 8039205 9089307 9734895 10504089 11250165 12719691 14470569 15148845 17506815 17522811 20250297 21199485 24117615 27267921 29204685 31512267 33750495 38159073 45446535 52520445 60750891 63598455 72352845 87614055 94536801 101251485 114477219 136339605 157561335 170252497 190795365 264936467 303754455 320818873 472684005 510757491 572386095 794809401 851262485 962456619 1112266313 1324682335 1532272473 1604094365 2384428203 2553787455 2887369857 3336798939 3974047005 4596817419 4812283095 5561331565 7153284609 7661362365 8662109571 10010396817 11922141015 13790452257 14436849285 16683994695 21459853827 22984087095 25986328713 30031190451 35766423045 43310547855 50051984085 68952261285 90093571353 107299269135 129931643565 150155952255 252484453051 450467856765 757453359153 1262422265255 2272360077459 3787266795765 6817080232377 11361800387295 20451240697131 34085401161885 102256203485655