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103185285152 = 2517414626313
BaseRepresentation
bin110000000011001010…
…0101000000000100000
3100212100011022121000212
41200012110220000200
53142310413111102
6115222550433252
710312012311065
oct1400624500040
9325304277025
10103185285152
113a840448a74
1217bb8662828
1399656c8661
144dcc0d8c6c
152a3dbccc52
hex1806528020

103185285152 has 48 divisors (see below), whose sum is σ = 220342083192. Its totient is φ = 47373434880.

The previous prime is 103185285127. The next prime is 103185285157. The reversal of 103185285152 is 251582581301.

It can be written as a sum of positive squares in 4 ways, for example, as 65002561936 + 38182723216 = 254956^2 + 195404^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (103185285157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2290853 + ... + 2335460.

Almost surely, 2103185285152 is an apocalyptic number.

It is an amenable number.

103185285152 is an abundant number, since it is smaller than the sum of its proper divisors (117156798040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103185285152 is a wasteful number, since it uses less digits than its factorization.

103185285152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626381 (or 4626373 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 41.

The spelling of 103185285152 in words is "one hundred three billion, one hundred eighty-five million, two hundred eighty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 328 544 656 697 1312 1394 2788 5576 11152 22304 4626313 9252626 18505252 37010504 74021008 78647321 148042016 157294642 189678833 314589284 379357666 629178568 758715332 1258357136 1517430664 2516714272 3034861328 3224540161 6069722656 6449080322 12898160644 25796321288 51592642576 103185285152