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122871193704 = 23337615212557
BaseRepresentation
bin111001001101110110…
…0011010000001101000
3102202011002211100211000
41302123230122001220
54003120011144304
6132240220035000
711606601625350
oct1623354320150
9382132740730
10122871193704
1148122649486
121b991392a60
13b781cb055c
145d387bdb60
1532e20a4939
hex1c9bb1a068

122871193704 has 256 divisors, whose sum is σ = 397378137600. Its totient is φ = 34450790400.

The previous prime is 122871193693. The next prime is 122871193723. The reversal of 122871193704 is 407391178221.

It is a self number, because there is not a number n which added to its sum of digits gives 122871193704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48051594 + ... + 48054150.

It is an arithmetic number, because the mean of its divisors is an integer number (1552258350).

Almost surely, 2122871193704 is an apocalyptic number.

122871193704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122871193704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198689068800).

122871193704 is an abundant number, since it is smaller than the sum of its proper divisors (274506943896).

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

122871193704 is a wasteful number, since it uses less digits than its factorization.

122871193704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 122871193704 in words is "one hundred twenty-two billion, eight hundred seventy-one million, one hundred ninety-three thousand, seven hundred four".