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10122040378296 = 23327112278043017
BaseRepresentation
bin1001001101001011100010…
…0111110000001110111000
31022211122202101201211011100
42103102320213300032320
52311314414314101141
633310000125531400
72063202411423420
oct223227047601670
938748671654140
1010122040378296
113252807a045a0
121175876a13b60
13585672c86a12
1426dca3441480
1512846e0d50b6
hex934b89f03b8

10122040378296 has 192 divisors, whose sum is σ = 34328887706880. Its totient is φ = 2617519127040.

The previous prime is 10122040378291. The next prime is 10122040378337. The reversal of 10122040378296 is 69287304022101.

10122040378296 is a `hidden beast` number, since 10 + 1 + 220 + 40 + 378 + 2 + 9 + 6 = 666.

It is a super-3 number, since 3×101220403782963 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122040378291) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2763021 + ... + 5279996.

It is an arithmetic number, because the mean of its divisors is an integer number (178796290140).

Almost surely, 210122040378296 is an apocalyptic number.

It is an amenable number.

10122040378296 is an abundant number, since it is smaller than the sum of its proper divisors (24206847328584).

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

10122040378296 is a wasteful number, since it uses less digits than its factorization.

10122040378296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8043274 (or 8043267 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10122040378296 in words is "ten trillion, one hundred twenty-two billion, forty million, three hundred seventy-eight thousand, two hundred ninety-six".