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102330021200 = 245211131177533
BaseRepresentation
bin101111101001101011…
…0000011010101010000
3100210010112222200110012
41133103112003111100
53134032441134300
6115002035254052
710251555554141
oct1372326032520
9323115880405
10102330021200
113a4416a1560
12179ba14a328
13985a466404
144d4a6a5ac8
1529dda8b435
hex17d3583550

102330021200 has 120 divisors (see below), whose sum is σ = 270246515616. Its totient is φ = 36926656000.

The previous prime is 102330021197. The next prime is 102330021239. The reversal of 102330021200 is 2120033201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 487634 + ... + 665166.

Almost surely, 2102330021200 is an apocalyptic number.

102330021200 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 102330021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135123257808).

102330021200 is an abundant number, since it is smaller than the sum of its proper divisors (167916494416).

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

102330021200 is a wasteful number, since it uses less digits than its factorization.

102330021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177693 (or 177682 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102330021200 its reverse (2120033201), we get a palindrome (104450054401).

The spelling of 102330021200 in words is "one hundred two billion, three hundred thirty million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 131 176 200 220 262 275 400 440 524 550 655 880 1048 1100 1310 1441 2096 2200 2620 2882 3275 4400 5240 5764 6550 7205 10480 11528 13100 14410 23056 26200 28820 36025 52400 57640 72050 115280 144100 177533 288200 355066 576400 710132 887665 1420264 1775330 1952863 2840528 3550660 3905726 4438325 7101320 7811452 8876650 9764315 14202640 15622904 17753300 19528630 23256823 31245808 35506600 39057260 46513646 48821575 71013200 78114520 93027292 97643150 116284115 156229040 186054584 195286300 232568230 255825053 372109168 390572600 465136460 511650106 581420575 781145200 930272920 1023300212 1162841150 1279125265 1860545840 2046600424 2325682300 2558250530 4093200848 4651364600 5116501060 6395626325 9302729200 10233002120 12791252650 20466004240 25582505300 51165010600 102330021200