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102124043023041 = 321337163937154459
BaseRepresentation
bin10111001110000110011011…
…010011101011001011000001
3111101120222000010222211201100
4113032012123103223023001
5101341200020003214131
61001111045424125013
730340134663015024
oct2716063323531301
9441528003884640
10102124043023041
112a5a3621a11136
12b5543a7466769
1344ca34339a8b0
141b30b8995b1bb
15bc17326757e6
hex5ce19b4eb2c1

102124043023041 has 96 divisors (see below), whose sum is σ = 164330320219520. Its totient is φ = 60706649981952.

The previous prime is 102124043023001. The next prime is 102124043023081. The reversal of 102124043023041 is 140320340421201.

102124043023041 is a `hidden beast` number, since 1 + 0 + 2 + 12 + 40 + 4 + 302 + 304 + 1 = 666.

102124043023041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102124043023001) and next prime (102124043023081).

It is not a de Polignac number, because 102124043023041 - 213 = 102124043014849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102124043022996 and 102124043023014.

It is not an unprimeable number, because it can be changed into a prime (102124043023001) 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, 661095270 + ... + 661249728.

Almost surely, 2102124043023041 is an apocalyptic number.

It is an amenable number.

102124043023041 is a deficient number, since it is larger than the sum of its proper divisors (62206277196479).

102124043023041 is a wasteful number, since it uses less digits than its factorization.

102124043023041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155615 (or 155612 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102124043023041 its reverse (140320340421201), we get a palindrome (242444383444242).

The spelling of 102124043023041 in words is "one hundred two trillion, one hundred twenty-four billion, forty-three million, twenty-three thousand, forty-one".

Divisors: 1 3 9 13 37 39 111 117 163 333 481 489 937 1443 1467 2119 2811 4329 6031 6357 8433 12181 18093 19071 34669 36543 54279 78403 104007 109629 152731 154459 235209 312021 450697 458193 463377 705627 1352091 1374579 1390131 1985503 2007967 4056273 5651047 5714983 5956509 6023901 16953141 17144949 17869527 18071703 25176817 50859423 51434847 73463611 74294779 75530451 144728083 220390833 222884337 226591353 327298621 434184249 661172499 668653011 931542229 981895863 1302552747 1881465079 2794626687 2945687589 5354939071 5644395237 8383880061 12110048977 16064817213 16933185711 23590677529 36330146931 48194451639 69614207923 70772032587 108990440793 208842623769 212316097761 306678807877 626527871307 872855068573 920036423631 2618565205719 2760109270893 7855695617157 11347115891449 34041347674347 102124043023041