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10131332104034 = 217419774925913
BaseRepresentation
bin1001001101101110001001…
…1100110111111101100010
31022212112201221202101122122
42103123202130313331202
52311442432004312114
633314134131504242
72063651565663011
oct223334234677542
938775657671578
1010131332104034
113256745938679
12117762a758082
135864c3cc889b
142705054b4a78
15128814bd8e8e
hex936e2737f62

10131332104034 has 32 divisors (see below), whose sum is σ = 16653333349296. Its totient is φ = 4603448033280.

The previous prime is 10131332104031. The next prime is 10131332104037. The reversal of 10131332104034 is 43040123313101.

It is an interprime number because it is at equal distance from previous prime (10131332104031) and next prime (10131332104037).

It can be written as a sum of positive squares in 8 ways, for example, as 2077388929225 + 8053943174809 = 1441315^2 + 2837947^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10131332103994 and 10131332104012.

It is not an unprimeable number, because it can be changed into a prime (10131332104031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37327739 + ... + 37598174.

Almost surely, 210131332104034 is an apocalyptic number.

10131332104034 is a deficient number, since it is larger than the sum of its proper divisors (6522001245262).

10131332104034 is a wasteful number, since it uses less digits than its factorization.

10131332104034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74926070.

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 10131332104034 its reverse (43040123313101), we get a palindrome (53171455417135).

The spelling of 10131332104034 in words is "ten trillion, one hundred thirty-one billion, three hundred thirty-two million, one hundred four thousand, thirty-four".

Divisors: 1 2 17 34 41 82 97 194 697 1394 1649 3298 3977 7954 67609 135218 74925913 149851826 1273740521 2547481042 3071962433 6143924866 7267813561 14535627122 52223361361 104446722722 123552830537 247105661074 297980356001 595960712002 5065666052017 10131332104034