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102332012220 = 223251937808693
BaseRepresentation
bin101111101001101110…
…1101001011010111100
3100210010200201211121200
41133103131221122330
53134033443342340
6115002150055500
710251611515644
oct1372335513274
9323120654550
10102332012220
113a442831429
12179ba94a590
13985a9b2729
144d4aa63524
1529ddd31330
hex17d37696bc

102332012220 has 144 divisors (see below), whose sum is σ = 335575662240. Its totient is φ = 25153555968.

The previous prime is 102332012213. The next prime is 102332012249. The reversal of 102332012220 is 22210233201.

102332012220 is a `hidden beast` number, since 10 + 233 + 201 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102332012193 and 102332012202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277807 + ... + 530886.

Almost surely, 2102332012220 is an apocalyptic number.

102332012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102332012220 is an abundant number, since it is smaller than the sum of its proper divisors (233243650020).

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

102332012220 is a wasteful number, since it uses less digits than its factorization.

102332012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808764 (or 808759 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102332012220 its reverse (22210233201), we get a palindrome (124542245421).

The spelling of 102332012220 in words is "one hundred two billion, three hundred thirty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 90 95 111 114 148 171 180 185 190 222 228 285 333 342 370 380 444 555 570 666 684 703 740 855 1110 1140 1332 1406 1665 1710 2109 2220 2812 3330 3420 3515 4218 6327 6660 7030 8436 10545 12654 14060 21090 25308 31635 42180 63270 126540 808693 1617386 2426079 3234772 4043465 4852158 7278237 8086930 9704316 12130395 14556474 15365167 16173860 24260790 29112948 29921641 30730334 36391185 46095501 48521580 59843282 61460668 72782370 76825835 89764923 92191002 119686564 138286503 145564740 149608205 153651670 179529846 184382004 230477505 269294769 276573006 299216410 307303340 359059692 448824615 460955010 538589538 553146012 568511179 598432820 691432515 897649230 921910020 1077179076 1137022358 1346473845 1382865030 1705533537 1795298460 2274044716 2692947690 2765730060 2842555895 3411067074 5116600611 5385895380 5685111790 6822134148 8527667685 10233201222 11370223580 17055335370 20466402444 25583003055 34110670740 51166006110 102332012220