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1142233104132 = 2232171866393961
BaseRepresentation
bin10000100111110010011…
…001011111111100000100
311001012022012002202012200
4100213302121133330010
5122203243133313012
62232422403314500
7145344413122011
oct20476231377404
94035265082180
101142233104132
1140046689a23a
1216545767ba30
13839346b0013
143d3da48c708
151eaa35433dc
hex109f265ff04

1142233104132 has 36 divisors (see below), whose sum is σ = 3057153309756. Its totient is φ = 358347640320.

The previous prime is 1142233104107. The next prime is 1142233104157. The reversal of 1142233104132 is 2314013322411.

1142233104132 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 233 + 10 + 413 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1142233104107) and next prime (1142233104157).

It can be written as a sum of positive squares in 2 ways, for example, as 494861599296 + 647371504836 = 703464^2 + 804594^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1142233104096 and 1142233104105.

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, 933196369 + ... + 933197592.

It is an arithmetic number, because the mean of its divisors is an integer number (84920925271).

Almost surely, 21142233104132 is an apocalyptic number.

1142233104132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142233104132 is an abundant number, since it is smaller than the sum of its proper divisors (1914920205624).

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

1142233104132 is a wasteful number, since it uses less digits than its factorization.

1142233104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866393988 (or 1866393983 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1142233104132 its reverse (2314013322411), we get a palindrome (3456246426543).

The spelling of 1142233104132 in words is "one trillion, one hundred forty-two billion, two hundred thirty-three million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1866393961 3732787922 5599181883 7465575844 11198363766 16797545649 22396727532 31728697337 33595091298 63457394674 67190182596 95186092011 126914789348 190372184022 285558276033 380744368044 571116552066 1142233104132