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122314334140 = 22529210886783
BaseRepresentation
bin111000111101010000…
…0001001111110111100
3102200201021222222002201
41301322200021332330
54000444432143030
6132105044401244
711560030454155
oct1617240117674
9380637888081
10122314334140
1147967286669
121b8569a6224
13b6c380aa5b
145cc486692c
1532ad2592ca
hex1c7a809fbc

122314334140 has 24 divisors (see below), whose sum is σ = 265717347840. Its totient is φ = 47238639168.

The previous prime is 122314334099. The next prime is 122314334141. The reversal of 122314334140 is 41433413221.

It is a happy number.

It is a super-2 number, since 2×1223143341402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122314334099 and 122314334108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122314334141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105442812 + ... + 105443971.

It is an arithmetic number, because the mean of its divisors is an integer number (11071556160).

Almost surely, 2122314334140 is an apocalyptic number.

122314334140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122314334140 is an abundant number, since it is smaller than the sum of its proper divisors (143403013700).

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

122314334140 is a wasteful number, since it uses less digits than its factorization.

122314334140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210886821 (or 210886819 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 122314334140 its reverse (41433413221), we get a palindrome (163747747361).

The spelling of 122314334140 in words is "one hundred twenty-two billion, three hundred fourteen million, three hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 210886783 421773566 843547132 1054433915 2108867830 4217735660 6115716707 12231433414 24462866828 30578583535 61157167070 122314334140