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102333030700 = 22525321798861
BaseRepresentation
bin101111101001110000…
…1100010000100101100
3100210010202122120201011
41133103201202010230
53134034223440300
6115002223555004
710251623260165
oct1372341420454
9323122576634
10102333030700
113a44336764a
12179bb15ba64
13985ac7b194
144d4ac4a76c
1529dde82eba
hex17d386212c

102333030700 has 72 divisors (see below), whose sum is σ = 226381916880. Its totient is φ = 40137926400.

The previous prime is 102333030671. The next prime is 102333030707. The reversal of 102333030700 is 7030333201.

It is a super-3 number, since 3×1023330307003 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102333030707) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11544270 + ... + 11553130.

It is an arithmetic number, because the mean of its divisors is an integer number (3144193290).

Almost surely, 2102333030700 is an apocalyptic number.

102333030700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102333030700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113190958440).

102333030700 is an abundant number, since it is smaller than the sum of its proper divisors (124048886180).

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

102333030700 is a wasteful number, since it uses less digits than its factorization.

102333030700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11107 (or 11100 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 22.

Adding to 102333030700 its reverse (7030333201), we get a palindrome (109363363901).

The spelling of 102333030700 in words is "one hundred two billion, three hundred thirty-three million, thirty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2179 2650 4358 5300 8716 8861 10895 17722 21790 35444 43580 44305 54475 88610 108950 115487 177220 217900 221525 230974 443050 461948 469633 577435 886100 939266 1154870 1878532 2309740 2348165 2887175 4696330 5774350 9392660 11548700 11740825 19308119 23481650 38616238 46963300 77232476 96540595 193081190 386162380 482702975 965405950 1023330307 1930811900 2046660614 4093321228 5116651535 10233303070 20466606140 25583257675 51166515350 102333030700