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101342103312120 = 233511145037529343
BaseRepresentation
bin10111000010101110001100…
…000100011001011011111000
3111021211012200102110211211020
4113002232030010121123320
5101240342111421441440
6555311530342302440
730226503536105016
oct2702561404313370
9437735612424736
10101342103312120
112a321a43377990
12b448941427a20
134471699ca0208
141b04dac0378b6
15bab219b9a3d0
hex5c2b8c1196f8

101342103312120 has 128 divisors (see below), whose sum is σ = 331667978711040. Its totient is φ = 24567566819840.

The previous prime is 101342103312103. The next prime is 101342103312137. The reversal of 101342103312120 is 21213301243101.

It is an interprime number because it is at equal distance from previous prime (101342103312103) and next prime (101342103312137).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 191184169 + ... + 191713511.

It is an arithmetic number, because the mean of its divisors is an integer number (2591156083680).

Almost surely, 2101342103312120 is an apocalyptic number.

101342103312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101342103312120 is an abundant number, since it is smaller than the sum of its proper divisors (230325875398920).

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

101342103312120 is a wasteful number, since it uses less digits than its factorization.

101342103312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674405 (or 674401 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101342103312120 its reverse (21213301243101), we get a palindrome (122555404555221).

The spelling of 101342103312120 in words is "one hundred one trillion, three hundred forty-two billion, one hundred three million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 145037 290074 435111 529343 580148 725185 870222 1058686 1160296 1450370 1588029 1595407 1740444 2117372 2175555 2646715 2900740 3176058 3190814 3480888 4234744 4351110 4786221 5293430 5801480 5822773 6352116 6381628 7940145 7977035 8702220 9572442 10586860 11645546 12704232 12763256 15880290 15954070 17404440 17468319 19144884 21173720 23291092 23931105 29113865 31760580 31908140 34936638 38289768 46582184 47862210 58227730 63521160 63816280 69873276 87341595 95724420 116455460 139746552 174683190 191448840 232910920 349366380 698732760 76774320691 153548641382 230322962073 307097282764 383871603455 460645924146 614194565528 767743206910 844517527601 921291848292 1151614810365 1535486413820 1689035055202 1842583696584 2303229620730 2533552582803 3070972827640 3378070110404 4222587638005 4606459241460 5067105165606 6756140220808 8445175276010 9212918482920 10134210331212 12667762914015 16890350552020 20268420662424 25335525828030 33780701104040 50671051656060 101342103312120