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122140031505 = 358653394099
BaseRepresentation
bin111000111000000011…
…1001111101000010001
3102200021011000110211120
41301300013033220101
54000120322002010
6132035500432453
711552513065212
oct1616007175021
9380234013746
10122140031505
11478879554a8
121b808548729
13b6966801bb
145ca9653409
15329ccc8e70
hex1c701cfa11

122140031505 has 16 divisors (see below), whose sum is σ = 195428385600. Its totient is φ = 65139905088.

The previous prime is 122140031479. The next prime is 122140031591. The reversal of 122140031505 is 505130041221.

It is a happy number.

It is not a de Polignac number, because 122140031505 - 26 = 122140031441 is a prime.

It is a super-3 number, since 3×1221400315053 (a number of 34 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1250946 + ... + 1345044.

It is an arithmetic number, because the mean of its divisors is an integer number (12214274100).

Almost surely, 2122140031505 is an apocalyptic number.

122140031505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122140031505 is a deficient number, since it is larger than the sum of its proper divisors (73288354095).

122140031505 is an equidigital number, since it uses as much as digits as its factorization.

122140031505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180640.

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 122140031505 its reverse (505130041221), we get a palindrome (627270072726).

The spelling of 122140031505 in words is "one hundred twenty-two billion, one hundred forty million, thirty-one thousand, five hundred five".

Divisors: 1 3 5 15 86533 94099 259599 282297 432665 470495 1297995 1411485 8142668767 24428006301 40713343835 122140031505