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10000101010044 = 22341157349370949
BaseRepresentation
bin1001000110000101010001…
…1101111110101001111100
31022102000000020022002120010
42101201110131332221330
52302320201324310134
633133552154023220
72051324553044235
oct221412435765174
938360006262503
1010000101010044
1132060233553a2
121156105717b10
1357700c063992
1426801670408c
151251d3c46ce9
hex9185477ea7c

10000101010044 has 96 divisors (see below), whose sum is σ = 24123917160000. Its totient is φ = 3222084003840.

The previous prime is 10000101010043. The next prime is 10000101010057. The reversal of 10000101010044 is 44001010100001.

It is a super-2 number, since 2×100001010100442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000101010043) 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 31 ways as a sum of consecutive naturals, for example, 26772682 + ... + 27143630.

It is an arithmetic number, because the mean of its divisors is an integer number (251290803750).

Almost surely, 210000101010044 is an apocalyptic number.

It is an amenable number.

10000101010044 is an abundant number, since it is smaller than the sum of its proper divisors (14123816149956).

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

10000101010044 is a wasteful number, since it uses less digits than its factorization.

10000101010044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371503 (or 371501 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000101010044 its reverse (44001010100001), we get a palindrome (54001111110045).

The spelling of 10000101010044 in words is "ten trillion, one hundred one million, ten thousand, forty-four".

Divisors: 1 2 3 4 6 12 41 82 123 157 164 246 314 349 471 492 628 698 942 1047 1396 1884 2094 4188 6437 12874 14309 19311 25748 28618 38622 42927 54793 57236 77244 85854 109586 164379 171708 219172 328758 370949 657516 741898 1112847 1483796 2225694 2246513 4451388 4493026 6739539 8986052 13479078 15208909 26958156 30417818 45626727 58238993 60835636 91253454 116477986 129461201 174716979 182506908 232955972 258922402 349433958 388383603 517844804 698867916 776767206 1553534412 2387798713 4775597426 5307909241 7163396139 9551194852 10615818482 14326792278 15923727723 20325408557 21231636964 28653584556 31847455446 40650817114 60976225671 63694910892 81301634228 121952451342 243904902684 833341750837 1666683501674 2500025252511 3333367003348 5000050505022 10000101010044