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122140140002331 = 3115223717085417
BaseRepresentation
bin11011110001010111110111…
…101010000101110000011011
3121000110111001100202121202020
4123301113313222011300123
5112002121001320033311
61111434223344305523
734504222350101463
oct3361276752056033
9530414040677666
10122140140002331
1135a10384931a40
12118476b19122a3
13531c9c5561439
142223885992ba3
15e1c22a7abc06
hex6f15f7a85c1b

122140140002331 has 16 divisors (see below), whose sum is σ = 177658750631808. Its totient is φ = 74024175118400.

The previous prime is 122140140002323. The next prime is 122140140002359. The reversal of 122140140002331 is 133200041041221.

It is a cyclic number.

It is not a de Polignac number, because 122140140002331 - 23 = 122140140002323 is a prime.

It is a super-2 number, since 2×1221401400023312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122140140002731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13695535 + ... + 20780951.

It is an arithmetic number, because the mean of its divisors is an integer number (11103671914488).

Almost surely, 2122140140002331 is an apocalyptic number.

122140140002331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122140140002331 is a deficient number, since it is larger than the sum of its proper divisors (55518610629477).

122140140002331 is a wasteful number, since it uses less digits than its factorization.

122140140002331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7607802.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 122140140002331 its reverse (133200041041221), we get a palindrome (255340181043552).

The spelling of 122140140002331 in words is "one hundred twenty-two trillion, one hundred forty billion, one hundred forty million, two thousand, three hundred thirty-one".

Divisors: 1 3 11 33 522371 1567113 5746081 7085417 17238243 21256251 77939587 233818761 3701216363707 11103649091121 40713380000777 122140140002331