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120112110002100 = 223523715171661661
BaseRepresentation
bin11011010011110111000111…
…101001100101111110110100
3120202021121100110112020001110
4123103313013221211332310
5111220404100130031400
61103242424103155020
734204546025400216
oct3323670751457664
9522247313466043
10120112110002100
11352a9294864107
121157a646745a70
1352036a5b07218
1421936585845b6
15dd45d1adde50
hex6d3dc7a65fb4

120112110002100 has 144 divisors (see below), whose sum is σ = 359280615430016. Its totient is φ = 30957837120000.

The previous prime is 120112110002083. The next prime is 120112110002107. The reversal of 120112110002100 is 1200011211021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120112110002107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34154731 + ... + 37506930.

Almost surely, 2120112110002100 is an apocalyptic number.

120112110002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120112110002100 is an abundant number, since it is smaller than the sum of its proper divisors (239168505427916).

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

120112110002100 is a wasteful number, since it uses less digits than its factorization.

120112110002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71661866 (or 71661859 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120112110002100 its reverse (1200011211021), we get a palindrome (121312121213121).

The spelling of 120112110002100 in words is "one hundred twenty trillion, one hundred twelve billion, one hundred ten million, two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 151 185 222 300 302 370 444 453 555 604 740 755 906 925 1110 1510 1812 1850 2220 2265 2775 3020 3700 3775 4530 5550 5587 7550 9060 11100 11174 11325 15100 16761 22348 22650 27935 33522 45300 55870 67044 83805 111740 139675 167610 279350 335220 419025 558700 838050 1676100 71661661 143323322 214984983 286646644 358308305 429969966 716616610 859939932 1074924915 1433233220 1791541525 2149849830 2651481457 3583083050 4299699660 5302962914 5374624575 7166166100 7954444371 10605925828 10749249150 10820910811 13257407285 15908888742 21498498300 21641821622 26514814570 31817777484 32462732433 39772221855 43283643244 53029629140 54104554055 64925464866 66287036425 79544443710 108209108110 129850929732 132574072850 159088887420 162313662165 198861109275 216418216220 265148145700 270522770275 324627324330 397722218550 400373700007 541045540550 649254648660 795444437100 800747400014 811568310825 1082091081100 1201121100021 1601494800028 1623136621650 2001868500035 2402242200042 3246273243300 4003737000070 4804484400084 6005605500105 8007474000140 10009342500175 12011211000210 20018685000350 24022422000420 30028027500525 40037370000700 60056055001050 120112110002100