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1000011220164 = 22321113718432707
BaseRepresentation
bin11101000110101010101…
…00000100010011000100
310112121012111112110122200
432203111110010103010
5112341010333021124
62043222050554500
7132151132056615
oct16432524042304
93477174473580
101000011220164
11356114299860
12141985898a30
13733ba6c68a8
1436587b27c0c
151b02c730bc9
hexe8d55044c4

1000011220164 has 72 divisors (see below), whose sum is σ = 2777735364768. Its totient is φ = 300821761920.

The previous prime is 1000011220163. The next prime is 1000011220211. The reversal of 1000011220164 is 4610221100001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1000011220163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9162102 + ... + 9270605.

It is an arithmetic number, because the mean of its divisors is an integer number (38579657844).

Almost surely, 21000011220164 is an apocalyptic number.

It is an amenable number.

1000011220164 is an abundant number, since it is smaller than the sum of its proper divisors (1777724144604).

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

1000011220164 is a wasteful number, since it uses less digits than its factorization.

1000011220164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18432865 (or 18432860 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1000011220164 its reverse (4610221100001), we get a palindrome (5610232320165).

The spelling of 1000011220164 in words is "one trillion, eleven million, two hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 137 198 274 396 411 548 822 1233 1507 1644 2466 3014 4521 4932 6028 9042 13563 18084 27126 54252 18432707 36865414 55298121 73730828 110596242 165894363 202759777 221192484 331788726 405519554 608279331 663577452 811039108 1216558662 1824837993 2433117324 2525280859 3649675986 5050561718 7299351972 7575842577 10101123436 15151685154 22727527731 27778089449 30303370308 45455055462 55556178898 83334268347 90910110924 111112357796 166668536694 250002805041 333337073388 500005610082 1000011220164