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123053264244 = 22325738959561
BaseRepresentation
bin111001010011010001…
…0111100110101110100
3102202121210102111122100
41302212202330311310
54004003113423434
6132310242302100
711614242326301
oct1624642746564
9382553374570
10123053264244
11482063a57a9
121ba22357930
13b7b092a9c1
145d54a560a8
15330306b699
hex1ca68bcd74

123053264244 has 36 divisors (see below), whose sum is σ = 311061949380. Its totient is φ = 41016351360.

The previous prime is 123053264239. The next prime is 123053264281. The reversal of 123053264244 is 442462350321.

123053264244 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 5 + 3 + 2 + 642 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112030784100 + 11022480144 = 334710^2 + 104988^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1230532642442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123053264199 and 123053264208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2036224 + ... + 2095784.

It is an arithmetic number, because the mean of its divisors is an integer number (8640609705).

Almost surely, 2123053264244 is an apocalyptic number.

It is an amenable number.

123053264244 is an abundant number, since it is smaller than the sum of its proper divisors (188008685136).

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

123053264244 is a wasteful number, since it uses less digits than its factorization.

123053264244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116960 (or 116955 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 123053264244 in words is "one hundred twenty-three billion, fifty-three million, two hundred sixty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 57389 59561 114778 119122 172167 178683 229556 238244 344334 357366 516501 536049 688668 714732 1033002 1072098 2066004 2144196 3418146229 6836292458 10254438687 13672584916 20508877374 30763316061 41017754748 61526632122 123053264244