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132122001020100 = 223527134839633737
BaseRepresentation
bin11110000010101000001100…
…111100000001010011000100
3122022210201222102022002202220
4132002220030330001103010
5114304141324230120400
61145000002004132340
736554333231603010
oct3602501474012304
9568721872262686
10132122001020100
1139109698187153
121299a1669970b0
135895088747380
14248aa4ba37540
151041be30417a0
hex782a0cf014c4

132122001020100 has 144 divisors (see below), whose sum is σ = 470489833473408. Its totient is φ = 27876290319360.

The previous prime is 132122001020083. The next prime is 132122001020159. The reversal of 132122001020100 is 1020100221231.

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

It is a self number, because there is not a number n which added to its sum of digits gives 132122001020100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2419789569 + ... + 2419844168.

It is an arithmetic number, because the mean of its divisors is an integer number (3267290510232).

Almost surely, 2132122001020100 is an apocalyptic number.

132122001020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122001020100 is an abundant number, since it is smaller than the sum of its proper divisors (338367832453308).

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

132122001020100 is a wasteful number, since it uses less digits than its factorization.

132122001020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4839633774 (or 4839633767 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 132122001020100 its reverse (1020100221231), we get a palindrome (133142101241331).

The spelling of 132122001020100 in words is "one hundred thirty-two trillion, one hundred twenty-two billion, one million, twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 4839633737 9679267474 14518901211 19358534948 24198168685 29037802422 33877436159 48396337370 58075604844 62915238581 67754872318 72594506055 96792674740 101632308477 120990843425 125830477162 135509744636 145189012110 169387180795 188745715743 203264616954 241981686850 251660954324 290378024220 314576192905 338774361590 362972530275 377491431486 406529233908 440406670067 483963373700 508161542385 629152385810 677548723180 725945060550 754982862972 846935903975 880813340134 943728578715 1016323084770 1258304771620 1321220010201 1451890121100 1572880964525 1693871807950 1761626680268 1887457157430 2032646169540 2202033350335 2540807711925 2642440020402 3145761929050 3387743615900 3774914314860 4404066700670 4718642893575 5081615423850 5284880040804 6291523858100 6606100051005 8808133401340 9437285787150 10163230847700 11010166751675 13212200102010 18874571574300 22020333503350 26424400204020 33030500255025 44040667006700 66061000510050 132122001020100