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1012311320100 = 2235229116357623
BaseRepresentation
bin11101011101100100111…
…01001110011000100100
310120202221201100021201120
432232302131032120210
5113041203144220400
62053014400453540
7133065006150363
oct16566235163044
93522851307646
101012311320100
11360356392a03
1214423901a2b0
13745caa92832
1436dd35437da
151b4ec4ceca0
hexebb274e624

1012311320100 has 72 divisors (see below), whose sum is σ = 3029952528960. Its totient is φ = 260641073280.

The previous prime is 1012311320093. The next prime is 1012311320201. The reversal of 1012311320100 is 10231132101.

It is a happy number.

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 1012311320100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58170112 + ... + 58187511.

Almost surely, 21012311320100 is an apocalyptic number.

1012311320100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012311320100 is an abundant number, since it is smaller than the sum of its proper divisors (2017641208860).

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

1012311320100 is a wasteful number, since it uses less digits than its factorization.

1012311320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116357669 (or 116357662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1012311320100 its reverse (10231132101), we get a palindrome (1022542452201).

The spelling of 1012311320100 in words is "one trillion, twelve billion, three hundred eleven million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1740 2175 2900 4350 8700 116357623 232715246 349072869 465430492 581788115 698145738 1163576230 1396291476 1745364345 2327152460 2908940575 3374371067 3490728690 5817881150 6748742134 6981457380 8726821725 10123113201 11635762300 13497484268 16871855335 17453643450 20246226402 33743710670 34907286900 40492452804 50615566005 67487421340 84359276675 101231132010 168718553350 202462264020 253077830025 337437106700 506155660050 1012311320100