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122332013321320 = 235111186723428609
BaseRepresentation
bin11011110100001010100100…
…001100101101110001101000
3121001010211022100021010200001
4123310022210030231301220
5112013241430402240240
61112102315011352344
734524124221310105
oct3364124414556150
9531124270233601
10122332013321320
1135a84796370440
121187891b8b26b4
135334b2301460a
14222cc88631aac
15e2220a56089a
hex6f42a432dc68

122332013321320 has 64 divisors (see below), whose sum is σ = 300294802958400. Its totient is φ = 44480618004480.

The previous prime is 122332013321299. The next prime is 122332013321321. The reversal of 122332013321320 is 23123310233221.

It is a happy number.

It is a super-2 number, since 2×1223320133213202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122332013321321) 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, 6492825 + ... + 16935784.

It is an arithmetic number, because the mean of its divisors is an integer number (4692106296225).

Almost surely, 2122332013321320 is an apocalyptic number.

122332013321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122332013321320 is an abundant number, since it is smaller than the sum of its proper divisors (177962789637080).

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

122332013321320 is a wasteful number, since it uses less digits than its factorization.

122332013321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23440498 (or 23440494 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 122332013321320 its reverse (23123310233221), we get a palindrome (145455323554541).

The spelling of 122332013321320 in words is "one hundred twenty-two trillion, three hundred thirty-two billion, thirteen million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 11867 23734 47468 59335 94936 118670 130537 237340 261074 474680 522148 652685 1044296 1305370 2610740 5221480 23428609 46857218 93714436 117143045 187428872 234286090 257714699 468572180 515429398 937144360 1030858796 1288573495 2061717592 2577146990 5154293980 10308587960 278027303003 556054606006 1112109212012 1390136515015 2224218424024 2780273030030 3058300333033 5560546060060 6116600666066 11121092120120 12233201332132 15291501665165 24466402664264 30583003330330 61166006660660 122332013321320