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102033133024 = 2519592844367
BaseRepresentation
bin101111100000110100…
…1100000110111100000
3100202100212100012102211
41133001221200313200
53132430440224044
6114512352051504
710241322215014
oct1370151406740
9322325305384
10102033133024
113a2aa053029
1217936833b94
139810ab7b34
144d1d0a2544
1529c2994634
hex17c1a60de0

102033133024 has 48 divisors (see below), whose sum is σ = 215034220800. Its totient is φ = 47512289664.

The previous prime is 102033133003. The next prime is 102033133039. The reversal of 102033133024 is 420331330201.

It is a junction number, because it is equal to n+sod(n) for n = 102033132986 and 102033133004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1386312 + ... + 1458055.

It is an arithmetic number, because the mean of its divisors is an integer number (4479879600).

Almost surely, 2102033133024 is an apocalyptic number.

It is an amenable number.

102033133024 is an abundant number, since it is smaller than the sum of its proper divisors (113001087776).

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

102033133024 is a wasteful number, since it uses less digits than its factorization.

102033133024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844455 (or 2844447 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 102033133024 its reverse (420331330201), we get a palindrome (522364463225).

The spelling of 102033133024 in words is "one hundred two billion, thirty-three million, one hundred thirty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 19 32 38 59 76 118 152 236 304 472 608 944 1121 1888 2242 4484 8968 17936 35872 2844367 5688734 11377468 22754936 45509872 54042973 91019744 108085946 167817653 216171892 335635306 432343784 671270612 864687568 1342541224 1729375136 2685082448 3188535407 5370164896 6377070814 12754141628 25508283256 51016566512 102033133024