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122142414310 = 2572965991303
BaseRepresentation
bin111000111000001000…
…0010101010111100110
3102200021022111112102121
41301300100111113212
54000121424224220
6132040023500154
711552542251160
oct1616020252746
9380238445377
10122142414310
1147889232764
121b8092b765a
13b697005947
145ca9ab3930
15329d0e9eaa
hex1c704155e6

122142414310 has 64 divisors (see below), whose sum is σ = 260325964800. Its totient is φ = 40371553152.

The previous prime is 122142414301. The next prime is 122142414341. The reversal of 122142414310 is 13414241221.

It is a super-2 number, since 2×1221424143102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1292119 + ... + 1383421.

It is an arithmetic number, because the mean of its divisors is an integer number (4067593200).

Almost surely, 2122142414310 is an apocalyptic number.

122142414310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122142414310 is an abundant number, since it is smaller than the sum of its proper divisors (138183550490).

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

122142414310 is a wasteful number, since it uses less digits than its factorization.

122142414310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92005.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 122142414310 its reverse (13414241221), we get a palindrome (135556655531).

The spelling of 122142414310 in words is "one hundred twenty-two billion, one hundred forty-two million, four hundred fourteen thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 29 35 58 70 145 203 290 406 659 1015 1318 2030 3295 4613 6590 9226 19111 23065 38222 46130 91303 95555 133777 182606 191110 267554 456515 639121 668885 913030 1278242 1337770 2647787 3195605 5295574 6391210 13238935 18534509 26477870 37069018 60168677 92672545 120337354 185345090 300843385 421180739 601686770 842361478 1744891633 2105903695 3489783266 4211807390 8724458165 12214241431 17448916330 24428482862 61071207155 122142414310