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122311330032 = 24353402711939
BaseRepresentation
bin111000111101001010…
…0101100100011110000
3102200201002100100020110
41301322110230203300
54000443200030112
6132104500141320
711556663102633
oct1617224544360
9380632310213
10122311330032
1147965614631
121b855997840
13b6c2cc8588
145cc42c3c1a
1532acd6413c
hex1c7a52c8f0

122311330032 has 80 divisors (see below), whose sum is σ = 322039566720. Its totient is φ = 39987906816.

The previous prime is 122311330027. The next prime is 122311330061. The reversal of 122311330032 is 230033113221.

It is a super-2 number, since 2×1223113300322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122311329990 and 122311330008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10238719 + ... + 10250657.

It is an arithmetic number, because the mean of its divisors is an integer number (4025494584).

Almost surely, 2122311330032 is an apocalyptic number.

122311330032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122311330032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161019783360).

122311330032 is an abundant number, since it is smaller than the sum of its proper divisors (199728236688).

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

122311330032 is a wasteful number, since it uses less digits than its factorization.

122311330032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16030 (or 16024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 122311330032 its reverse (230033113221), we get a palindrome (352344443253).

The spelling of 122311330032 in words is "one hundred twenty-two billion, three hundred eleven million, three hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 4027 8054 11939 12081 16108 23878 24162 32216 35817 47756 48324 64432 71634 95512 96648 143268 191024 193296 213431 286536 426862 573072 632767 640293 853724 1265534 1280586 1707448 1898301 2531068 2561172 3414896 3796602 5062136 5122344 7593204 10124272 10244688 15186408 30372816 48078353 96156706 144235059 192313412 288470118 384626824 576940236 769253648 1153880472 2307760944 2548152709 5096305418 7644458127 10192610836 15288916254 20385221672 30577832508 40770443344 61155665016 122311330032