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100132322011220 = 2258296039343909
BaseRepresentation
bin10110110001000111011111…
…011110111110100001010100
3111010112120000200112011111002
4112301013133132332201110
5101111031443413324340
6552544053110402432
730043215166524512
oct2661073736764124
9433476020464432
10100132322011220
11299a5974370744
12b292394060418
1343b458c0cb5c5
141aa26048394b2
15b89a11401715
hex5b11df7be854

100132322011220 has 24 divisors (see below), whose sum is σ = 210531528702600. Its totient is φ = 40004614046592.

The previous prime is 100132322011207. The next prime is 100132322011237. The reversal of 100132322011220 is 22110223231001.

It can be written as a sum of positive squares in 4 ways, for example, as 34741098528964 + 65391223482256 = 5894158^2 + 8086484^2 .

It is a super-2 number, since 2×1001323220112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100132322011192 and 100132322011201.

It is a congruent number.

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, 3019655375 + ... + 3019688534.

It is an arithmetic number, because the mean of its divisors is an integer number (8772147029275).

Almost surely, 2100132322011220 is an apocalyptic number.

100132322011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100132322011220 is an abundant number, since it is smaller than the sum of its proper divisors (110399206691380).

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

100132322011220 is a wasteful number, since it uses less digits than its factorization.

100132322011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6039344747 (or 6039344745 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100132322011220 its reverse (22110223231001), we get a palindrome (122242545242221).

The spelling of 100132322011220 in words is "one hundred trillion, one hundred thirty-two billion, three hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 829 1658 3316 4145 8290 16580 6039343909 12078687818 24157375636 30196719545 60393439090 120786878180 5006616100561 10013232201122 20026464402244 25033080502805 50066161005610 100132322011220