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100140213401320 = 2357573307140469
BaseRepresentation
bin10110110001001110110101…
…110110001111011011101000
3111010120022101122120022121111
4112301032311312033123220
5101111144124112320240
6552551440130320104
730043614561322651
oct2661166566173350
9433508348508544
10100140213401320
11299a92538a6944
12b293a16a29034
1343b5248ca4cc1
141aa2b52910528
15b89d240e61ea
hex5b13b5d8f6e8

100140213401320 has 32 divisors (see below), whose sum is σ = 225613122863400. Its totient is φ = 40003171100928.

The previous prime is 100140213401311. The next prime is 100140213401339. The reversal of 100140213401320 is 23104312041001.

It can be written as a sum of positive squares in 4 ways, for example, as 61210375574436 + 38929837826884 = 7823706^2 + 6239378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100140213401291 and 100140213401300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653539955 + ... + 1653600514.

Almost surely, 2100140213401320 is an apocalyptic number.

100140213401320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100140213401320 is an abundant number, since it is smaller than the sum of its proper divisors (125472909462080).

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

100140213401320 is a wasteful number, since it uses less digits than its factorization.

100140213401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307141237 (or 3307141233 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100140213401320 its reverse (23104312041001), we get a palindrome (123244525442321).

The spelling of 100140213401320 in words is "one hundred trillion, one hundred forty billion, two hundred thirteen million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 757 1514 3028 3785 6056 7570 15140 30280 3307140469 6614280938 13228561876 16535702345 26457123752 33071404690 66142809380 132285618760 2503505335033 5007010670066 10014021340132 12517526675165 20028042680264 25035053350330 50070106700660 100140213401320