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103826771323812 = 223635605888657
BaseRepresentation
bin10111100110111000001101…
…110100101010101110100100
3111121121202001012200201000000
4113212320031310222232210
5102102044211424330222
61004453205453021300
730604144116534165
oct2746701564525644
9447552035621000
10103826771323812
113009a760721449
12b78a3a7784830
1345c1a90118504
141b8d35778776c
15c00b8c7699ac
hex5e6e0dd2aba4

103826771323812 has 42 divisors (see below), whose sum is σ = 272420654122358. Its totient is φ = 34608923773632.

The previous prime is 103826771323799. The next prime is 103826771323829. The reversal of 103826771323812 is 218323177628301.

103826771323812 is a `hidden beast` number, since 1 + 0 + 382 + 6 + 7 + 7 + 13 + 238 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102536402552676 + 1290368771136 = 10126026^2 + 1135944^2 .

It is a super-2 number, since 2×1038267713238122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 17802941413 + ... + 17802947244.

Almost surely, 2103826771323812 is an apocalyptic number.

103826771323812 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103826771323812 is an abundant number, since it is smaller than the sum of its proper divisors (168593882798546).

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

103826771323812 is an equidigital number, since it uses as much as digits as its factorization.

103826771323812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35605888679 (or 35605888662 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 103826771323812 in words is "one hundred three trillion, eight hundred twenty-six billion, seven hundred seventy-one million, three hundred twenty-three thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 35605888657 71211777314 106817665971 142423554628 213635331942 320452997913 427270663884 640905995826 961358993739 1281811991652 1922717987478 2884076981217 3845435974956 5768153962434 8652230943651 11536307924868 17304461887302 25956692830953 34608923774604 51913385661906 103826771323812