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100212241000344 = 233111013758334871
BaseRepresentation
bin10110110010010001111011…
…000001101110011110011000
3111010211012022101012110110020
4112302101323001232132120
5101113334132144002334
6553044511251550440
730052044515653014
oct2662217301563630
9433735271173406
10100212241000344
1129a26855576090
12b2a59788bb420
1343bbc8750ab95
141aa6426927544
15b8bb3c71be49
hex5b247b06e798

100212241000344 has 64 divisors (see below), whose sum is σ = 276012112999680. Its totient is φ = 30066678960000.

The previous prime is 100212241000343. The next prime is 100212241000349. The reversal of 100212241000344 is 443000142212001.

It is a super-2 number, since 2×1002122410003442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212241000343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1879140772 + ... + 1879194099.

It is an arithmetic number, because the mean of its divisors is an integer number (4312689265620).

Almost surely, 2100212241000344 is an apocalyptic number.

It is an amenable number.

100212241000344 is an abundant number, since it is smaller than the sum of its proper divisors (175799871999336).

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

100212241000344 is a wasteful number, since it uses less digits than its factorization.

100212241000344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758334992 (or 3758334988 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 100212241000344 its reverse (443000142212001), we get a palindrome (543212383212345).

The spelling of 100212241000344 in words is "one hundred trillion, two hundred twelve billion, two hundred forty-one million, three hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 101 132 202 264 303 404 606 808 1111 1212 2222 2424 3333 4444 6666 8888 13332 26664 3758334871 7516669742 11275004613 15033339484 22550009226 30066678968 41341683581 45100018452 82683367162 90200036904 124025050743 165366734324 248050101486 330733468648 379591821971 496100202972 759183643942 992200405944 1138775465913 1518367287884 2277550931826 3036734575768 4175510041681 4555101863652 8351020083362 9110203727304 12526530125043 16702040166724 25053060250086 33404080333448 50106120500172 100212241000344