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102200013232320 = 2635112994294373
BaseRepresentation
bin10111001111001101001011…
…011111000001100011000000
3111101212020002122100100002010
4113033031023133001203000
5101343421111341413240
61001210012105252520
730345464413105443
oct2717151337014300
9441766078310063
10102200013232320
112a622867136863
12b567069794140
13450455c680353
141b3471542965a
15bc36cbe87280
hex5cf34b7c18c0

102200013232320 has 112 divisors (see below), whose sum is σ = 324772454705760. Its totient is φ = 27229197213696.

The previous prime is 102200013232279. The next prime is 102200013232379. The reversal of 102200013232320 is 23232310002201.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 46063347 + ... + 48231026.

Almost surely, 2102200013232320 is an apocalyptic number.

102200013232320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200013232320 is an abundant number, since it is smaller than the sum of its proper divisors (222572441473440).

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

102200013232320 is a wasteful number, since it uses less digits than its factorization.

102200013232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94295522 (or 94295512 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 102200013232320 its reverse (23232310002201), we get a palindrome (125432323234521).

The spelling of 102200013232320 in words is "one hundred two trillion, two hundred billion, thirteen million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1129 2258 3387 4516 5645 6774 9032 11290 13548 16935 18064 22580 27096 33870 36128 45160 54192 67740 72256 90320 108384 135480 180640 216768 270960 361280 541920 1083840 94294373 188588746 282883119 377177492 471471865 565766238 754354984 942943730 1131532476 1414415595 1508709968 1885887460 2263064952 2828831190 3017419936 3771774920 4526129904 5657662380 6034839872 7543549840 9052259808 11315324760 15087099680 18104519616 22630649520 30174199360 45261299040 90522598080 106458347117 212916694234 319375041351 425833388468 532291735585 638750082702 851666776936 1064583471170 1277500165404 1596875206755 1703333553872 2129166942340 2555000330808 3193750413510 3406667107744 4258333884680 5110000661616 6387500827020 6813334215488 8516667769360 10220001323232 12775001654040 17033335538720 20440002646464 25550003308080 34066671077440 51100006616160 102200013232320