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122312078031 = 311131072664577
BaseRepresentation
bin111000111101001011…
…1100011001011001111
3102200201010202100022010
41301322113203023033
54000443342444111
6132104524152303
711560002336453
oct1617227431317
9380633670263
10122312078031
1147965a85610
121b856098693
13b6c31cab90
145cc443a663
1532ace60aa6
hex1c7a5e32cf

122312078031 has 32 divisors (see below), whose sum is σ = 193384412928. Its totient is φ = 67786813440.

The previous prime is 122312077999. The next prime is 122312078059. The reversal of 122312078031 is 130870213221.

It is not a de Polignac number, because 122312078031 - 25 = 122312077999 is a prime.

It is a super-2 number, since 2×1223120780312 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122312078031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312078081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1286386 + ... + 1378191.

It is an arithmetic number, because the mean of its divisors is an integer number (6043262904).

Almost surely, 2122312078031 is an apocalyptic number.

122312078031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122312078031 is a deficient number, since it is larger than the sum of its proper divisors (71072334897).

122312078031 is a wasteful number, since it uses less digits than its factorization.

122312078031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2664711.

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 122312078031 in words is "one hundred twenty-two billion, three hundred twelve million, seventy-eight thousand, thirty-one".

Divisors: 1 3 11 13 33 39 107 143 321 429 1177 1391 3531 4173 15301 45903 2664577 7993731 29310347 34639501 87931041 103918503 285109739 381034511 855329217 1143103533 3136207129 3706426607 9408621387 11119279821 40770692677 122312078031