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100430211241044 = 2234674626414743
BaseRepresentation
bin10110110101011100111011…
…000100001101010001010100
3111011121000221002122221220000
4112311130323010031101110
5101130422033034203134
6553333000242411300
730103562154305226
oct2665347304152124
9434530832587800
10100430211241044
112a000239043083
12b32006a660b30
1344066b383b079
141ab2bc34ca416
15b9264861be99
hex5b573b10d454

100430211241044 has 60 divisors (see below), whose sum is σ = 266462983595424. Its totient is φ = 32977084280976.

The previous prime is 100430211241037. The next prime is 100430211241049. The reversal of 100430211241044 is 440142112034001.

100430211241044 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 30 + 211 + 2 + 410 + 4 + 4 = 666.

100430211241044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 100430211240999 and 100430211241017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100430211241049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2313185664 + ... + 2313229079.

Almost surely, 2100430211241044 is an apocalyptic number.

It is an amenable number.

100430211241044 is an abundant number, since it is smaller than the sum of its proper divisors (166032772354380).

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

100430211241044 is a wasteful number, since it uses less digits than its factorization.

100430211241044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626414826 (or 4626414815 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100430211241044 its reverse (440142112034001), we get a palindrome (540572323275045).

The spelling of 100430211241044 in words is "one hundred trillion, four hundred thirty billion, two hundred eleven million, two hundred forty-one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 67 81 108 134 162 201 268 324 402 603 804 1206 1809 2412 3618 5427 7236 10854 21708 4626414743 9252829486 13879244229 18505658972 27758488458 41637732687 55516976916 83275465374 124913198061 166550930748 249826396122 309969787781 374739594183 499652792244 619939575562 749479188366 929909363343 1239879151124 1498958376732 1859818726686 2789728090029 3719637453372 5579456180058 8369184270087 11158912360116 16738368540174 25107552810261 33476737080348 50215105620522 100430211241044