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102032133000 = 2335374858673
BaseRepresentation
bin101111100000110010…
…1101100101110001000
3100202100210110101122220
41133001211230232020
53132430211224000
6114512314414040
710241310551340
oct1370145545610
9322323411586
10102032133000
113a2a952a766
1217936431320
1398108278c5
144d1ccc1d20
1529c28481a0
hex17c196cb88

102032133000 has 128 divisors (see below), whose sum is σ = 363817509120. Its totient is φ = 23321625600.

The previous prime is 102032132957. The next prime is 102032133011. The reversal of 102032133000 is 331230201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2408337 + ... + 2450336.

It is an arithmetic number, because the mean of its divisors is an integer number (2842324290).

Almost surely, 2102032133000 is an apocalyptic number.

102032133000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032133000 is an abundant number, since it is smaller than the sum of its proper divisors (261785376120).

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

102032133000 is a wasteful number, since it uses less digits than its factorization.

102032133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4858704 (or 4858690 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 102032133000 its reverse (331230201), we get a palindrome (102363363201).

The spelling of 102032133000 in words is "one hundred two billion, thirty-two million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 125 140 150 168 175 200 210 250 280 300 350 375 420 500 525 600 700 750 840 875 1000 1050 1400 1500 1750 2100 2625 3000 3500 4200 5250 7000 10500 21000 4858673 9717346 14576019 19434692 24293365 29152038 34010711 38869384 48586730 58304076 68021422 72880095 97173460 102032133 116608152 121466825 136042844 145760190 170053555 194346920 204064266 242933650 272085688 291520380 340107110 364400475 408128532 485867300 510160665 583040760 607334125 680214220 728800950 816257064 850267775 971734600 1020321330 1214668250 1360428440 1457601900 1700535550 1822002375 2040642660 2429336500 2550803325 2915203800 3401071100 3644004750 4081285320 4251338875 4858673000 5101606650 6802142200 7288009500 8502677750 10203213300 12754016625 14576019000 17005355500 20406426600 25508033250 34010711000 51016066500 102032133000