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101113365045 = 35711219418871
BaseRepresentation
bin101111000101011010…
…0111000001000110101
3100122222202122010222010
41132022310320020311
53124040010140140
6114241214154433
710206453264510
oct1361264701065
9318882563863
10101113365045
1139977949800
121771a7b2a19
1396c538c824
144c72c7bd77
15296bd60880
hex178ad38235

101113365045 has 96 divisors (see below), whose sum is σ = 213926307840. Its totient is φ = 39809404800.

The previous prime is 101113365019. The next prime is 101113365079. The reversal of 101113365045 is 540563311101.

It is not a de Polignac number, because 101113365045 - 210 = 101113364021 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31960 + ... + 450830.

It is an arithmetic number, because the mean of its divisors is an integer number (2228399040).

Almost surely, 2101113365045 is an apocalyptic number.

101113365045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101113365045 is an abundant number, since it is smaller than the sum of its proper divisors (112812942795).

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

101113365045 is a wasteful number, since it uses less digits than its factorization.

101113365045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418927 (or 418916 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 101113365045 its reverse (540563311101), we get a palindrome (641676676146).

The spelling of 101113365045 in words is "one hundred one billion, one hundred thirteen million, three hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 7 11 15 19 21 33 35 55 57 77 95 105 121 133 165 209 231 285 363 385 399 605 627 665 847 1045 1155 1463 1815 1995 2299 2541 3135 4235 4389 6897 7315 11495 12705 16093 21945 34485 48279 80465 241395 418871 1256613 2094355 2932097 4607581 6283065 7958549 8796291 13822743 14660485 23037905 23875647 32253067 39792745 43981455 50683391 55709843 69113715 87544039 96759201 119378235 152050173 161265335 167129529 253416955 262632117 278549215 354783737 437720195 483796005 612808273 760250865 835647645 962984429 1064351211 1313160585 1773918685 1838424819 2888953287 3064041365 4814922145 5321756055 6740891003 9192124095 14444766435 20222673009 33704455015 101113365045