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332012013122010 = 2351319926339162419
BaseRepresentation
bin100101101111101101001001…
…0000110100111000111011010
31121112120001001001022000200010
41023133122102012213013122
5322004141100324401020
63134044114015222350
7126635035123422564
oct11337322206470732
91545501031260603
10332012013122010
119687555a965771
12312a219b5179b6
13113347a1b85840
145bdb677d08334
15285b5db0c8de0
hex12df6921a71da

332012013122010 has 128 divisors (see below), whose sum is σ = 862473588480000. Its totient is φ = 81311762518272.

The previous prime is 332012013121979. The next prime is 332012013122011. The reversal of 332012013122010 is 10221310210233.

It is a super-2 number, since 2×3320120131220102 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (332012013122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2044088581 + ... + 2044250999.

It is an arithmetic number, because the mean of its divisors is an integer number (6738074910000).

Almost surely, 2332012013122010 is an apocalyptic number.

332012013122010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332012013122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431236794240000).

332012013122010 is an abundant number, since it is smaller than the sum of its proper divisors (530461575357990).

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

332012013122010 is a wasteful number, since it uses less digits than its factorization.

332012013122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188980.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 332012013122010 its reverse (10221310210233), we get a palindrome (342233323332243).

The spelling of 332012013122010 in words is "three hundred thirty-two trillion, twelve billion, thirteen million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 199 390 398 597 995 1194 1990 2587 2985 5174 5970 7761 12935 15522 25870 26339 38805 52678 77610 79017 131695 158034 162419 263390 324838 342407 395085 487257 684814 790170 812095 974514 1027221 1624190 1712035 2054442 2111447 2436285 3424070 4222894 4872570 5136105 5241461 6334341 10272210 10482922 10557235 12668682 15724383 21114470 26207305 31448766 31671705 32321381 52414610 63343410 64642762 68138993 78621915 96964143 136277986 157243830 161606905 193928286 204416979 323213810 340694965 408833958 420177953 484820715 681389930 840355906 969641430 1022084895 1260533859 2044169790 2100889765 2521067718 4201779530 4277954041 6302669295 8555908082 12605338590 12833862123 21389770205 25667724246 42779540410 55613402533 64169310615 111226805066 128338621230 166840207599 278067012665 333680415198 556134025330 834201037995 851312854159 1668402075990 1702625708318 2553938562477 4256564270795 5107877124954 8513128541590 11067067104067 12769692812385 22134134208134 25539385624770 33201201312201 55335335520335 66402402624402 110670671040670 166006006561005 332012013122010