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332013133122 = 2311234318792707
BaseRepresentation
bin1001101010011011000…
…01100101110101000010
31011201222120021200121020
410311031201211311002
520414430330224442
6412305201410310
732662411032066
oct4651541456502
91151876250536
10332013133122
11118895838010
125441a639996
13254022b8a28
14120d8aa3aa6
158982de19ec
hex4d4d865d42

332013133122 has 128 divisors (see below), whose sum is σ = 774163906560. Its totient is φ = 93912920640.

The previous prime is 332013133051. The next prime is 332013133147. The reversal of 332013133122 is 221331310233.

It is a super-2 number, since 2×3320131331222 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332013133092 and 332013133101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122648493 + ... + 122651199.

It is an arithmetic number, because the mean of its divisors is an integer number (6048155520).

Almost surely, 2332013133122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332013133122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387081953280).

332013133122 is an abundant number, since it is smaller than the sum of its proper divisors (442150773438).

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

332013133122 is a wasteful number, since it uses less digits than its factorization.

332013133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 332013133122 its reverse (221331310233), we get a palindrome (553344443355).

The spelling of 332013133122 in words is "three hundred thirty-two billion, thirteen million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 43 46 66 69 86 129 138 253 258 473 506 759 946 989 1419 1518 1879 1978 2707 2838 2967 3758 5414 5637 5934 8121 10879 11274 16242 20669 21758 29777 32637 41338 43217 59554 62007 62261 65274 80797 86434 89331 116401 124014 124522 129651 161594 178662 186783 232802 242391 259302 349203 373566 475387 484782 684871 698406 888767 950774 1280411 1369742 1426161 1777534 1858331 2054613 2560822 2666301 2677223 2852322 3716662 3841233 4109226 5086453 5332602 5354446 5574993 7682466 8031669 10172906 11149986 15259359 16063338 20441641 29449453 30518718 40883282 55950983 58898906 61324923 88348359 111901966 116988419 122649846 167852949 176696718 218717479 233976838 335705898 350965257 437434958 656152437 701930514 1286872609 1312304874 2405892269 2573745218 3860617827 4811784538 5030502017 7217676807 7721235654 10061004034 14435353614 15091506051 30183012102 55335522187 110671044374 166006566561 332013133122