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100042314132 = 22367388314029
BaseRepresentation
bin101110100101011111…
…1001001000110010100
3100120020010021010022210
41131022333021012110
53114341313023012
6113543033553420
710141066432215
oct1351277110624
9316203233283
10100042314132
1139478307362
121747bb75870
1395845066a7
144bb091740c
152907ce723c
hex174afc9194

100042314132 has 48 divisors (see below), whose sum is σ = 234060357440. Its totient is φ = 33257806848.

The previous prime is 100042314083. The next prime is 100042314133. The reversal of 100042314132 is 231413240001.

It is a junction number, because it is equal to n+sod(n) for n = 100042314099 and 100042314108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100042314133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7124094 + ... + 7138122.

Almost surely, 2100042314132 is an apocalyptic number.

100042314132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100042314132 is an abundant number, since it is smaller than the sum of its proper divisors (134018043308).

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

100042314132 is a wasteful number, since it uses less digits than its factorization.

100042314132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15592 (or 15590 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100042314132 its reverse (231413240001), we get a palindrome (331455554133).

The spelling of 100042314132 in words is "one hundred billion, forty-two million, three hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 673 883 1346 1766 2019 2649 2692 3532 4038 5298 8076 10596 14029 28058 42087 56116 84174 168348 594259 1188518 1782777 2377036 3565554 7131108 9441517 12387607 18883034 24775214 28324551 37162821 37766068 49550428 56649102 74325642 113298204 148651284 8336859511 16673719022 25010578533 33347438044 50021157066 100042314132