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102212552023101 = 321353891071730887
BaseRepresentation
bin10111001111011000110110…
…110110101101110000111101
3111101220102110111021220102200
4113033120312312231300331
5101344122301304214401
61001215444223142113
730346420216060002
oct2717306666556075
9441812414256380
10102212552023101
112a628110a39973
12b569588a44939
1345057aa32c290
141b351848198a9
15bc3bb2b84686
hex5cf636dadc3d

102212552023101 has 96 divisors (see below), whose sum is σ = 165348545806080. Its totient is φ = 60449518052352.

The previous prime is 102212552023079. The next prime is 102212552023121. The reversal of 102212552023101 is 101320255212201.

102212552023101 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 2 + 552 + 0 + 2 + 3 + 101 = 666.

It is not a de Polignac number, because 102212552023101 - 221 = 102212549925949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212552023121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58186680 + ... + 59917566.

It is an arithmetic number, because the mean of its divisors is an integer number (1722380685480).

Almost surely, 2102212552023101 is an apocalyptic number.

It is an amenable number.

102212552023101 is a deficient number, since it is larger than the sum of its proper divisors (63135993782979).

102212552023101 is a wasteful number, since it uses less digits than its factorization.

102212552023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731155 (or 1731152 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 102212552023101 in words is "one hundred two trillion, two hundred twelve billion, five hundred fifty-two million, twenty-three thousand, one hundred one".

Divisors: 1 3 9 13 39 53 89 107 117 159 267 321 477 689 801 963 1157 1391 2067 3471 4173 4717 5671 6201 9523 10413 12519 14151 17013 28569 42453 51039 61321 73723 85707 123799 183963 221169 371397 504719 551889 663507 1114191 1514157 1730887 4542471 5192661 6561347 15577983 19684041 22501531 59052123 67504593 91737011 154048943 185204909 202513779 275211033 462146829 555614727 825633099 1192581143 1386440487 1666844181 2002636259 2407663817 3577743429 6007908777 7222991451 8164593979 9815860177 10733230287 16483236901 18023726331 21668974353 24493781937 29447580531 49449710703 73481345811 88342741593 106139721727 127606182301 148349132109 214282079713 318419165181 382818546903 642846239139 873611555753 955257495543 1148455640709 1928538717417 2620834667259 7862504001777 11356950224789 34070850674367 102212552023101