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102033428208 = 243191796171013
BaseRepresentation
bin101111100000110101…
…0101000111011110000
3100202100212220012100120
41133001222220323300
53132431024200313
6114512402250240
710241324554425
oct1370152507360
9322325805316
10102033428208
113a2aa234888
1217936956980
139810b8c2ba
144d1d13bd4c
1529c2a01d23
hex17c1aa8ef0

102033428208 has 160 divisors (see below), whose sum is σ = 279737452800. Its totient is φ = 31957567488.

The previous prime is 102033428149. The next prime is 102033428221. The reversal of 102033428208 is 802824330201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100723510 + ... + 100724522.

It is an arithmetic number, because the mean of its divisors is an integer number (1748359080).

Almost surely, 2102033428208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102033428208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139868726400).

102033428208 is an abundant number, since it is smaller than the sum of its proper divisors (177704024592).

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

102033428208 is a wasteful number, since it uses less digits than its factorization.

102033428208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 102033428208 its reverse (802824330201), we get a palindrome (904857758409).

The spelling of 102033428208 in words is "one hundred two billion, thirty-three million, four hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 179 228 304 358 456 537 617 716 912 1013 1074 1234 1432 1851 2026 2148 2468 2864 3039 3401 3702 4052 4296 4936 6078 6802 7404 8104 8592 9872 10203 11723 12156 13604 14808 16208 19247 20406 23446 24312 27208 29616 35169 38494 40812 46892 48624 54416 57741 70338 76988 81624 93784 110443 115482 140676 153976 163248 181327 187568 220886 230964 281352 307952 331329 362654 441772 461928 543981 562704 625021 662658 725308 883544 923856 1087962 1250042 1325316 1450616 1767088 1875063 2098417 2175924 2500084 2650632 2901232 3445213 3750126 4196834 4351848 5000168 5301264 6295251 6890426 7500252 8393668 8703696 10000336 10335639 11875399 12590502 13780852 15000504 16787336 20671278 23750798 25181004 27561704 30001008 33574672 35626197 41342556 47501596 50362008 55123408 71252394 82685112 95003192 100724016 111878759 142504788 165370224 190006384 223757518 285009576 335636277 447515036 570019152 671272554 895030072 1342545108 1790060144 2125696421 2685090216 4251392842 5370180432 6377089263 8502785684 12754178526 17005571368 25508357052 34011142736 51016714104 102033428208