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122106465705 = 3571453800357
BaseRepresentation
bin111000110111000011…
…1001100110110101001
3102200011210212011012210
41301232013030312221
54000033223400310
6132032301155333
711551624555560
oct1615607146651
9380153764183
10122106465705
114786aa09a74
121b7b925bb49
13b68c72a193
145ca4dd6bd7
153299d98820
hex1c6e1ccda9

122106465705 has 32 divisors (see below), whose sum is σ = 223434342144. Its totient is φ = 55781611776.

The previous prime is 122106465683. The next prime is 122106465737. The reversal of 122106465705 is 507564601221.

It is not a de Polignac number, because 122106465705 - 29 = 122106465193 is a prime.

It is a super-2 number, since 2×1221064657052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247614 + ... + 552743.

It is an arithmetic number, because the mean of its divisors is an integer number (6982323192).

Almost surely, 2122106465705 is an apocalyptic number.

122106465705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122106465705 is a deficient number, since it is larger than the sum of its proper divisors (101327876439).

122106465705 is a wasteful number, since it uses less digits than its factorization.

122106465705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801825.

The product of its (nonzero) digits is 100800, while the sum is 39.

The spelling of 122106465705 in words is "one hundred twenty-two billion, one hundred six million, four hundred sixty-five thousand, seven hundred five".

Divisors: 1 3 5 7 15 21 35 105 1453 4359 7265 10171 21795 30513 50855 152565 800357 2401071 4001785 5602499 12005355 16807497 28012495 84037485 1162918721 3488756163 5814593605 8140431047 17443780815 24421293141 40702155235 122106465705