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132220123354032 = 2437265951852391
BaseRepresentation
bin11110000100000011100101…
…011111000001001110110000
3122100011010020201210010101220
4132010003211133001032300
5114312243303034312112
61145113030334225040
736564405625641300
oct3604034537011660
9570133221703356
10132220123354032
113914726a730a0a
12129b518b955180
1358a13c5242aac
1424916b9565600
1510445374d098c
hex7840e57c13b0

132220123354032 has 120 divisors (see below), whose sum is σ = 397341453376512. Its totient is φ = 37776560976000.

The previous prime is 132220123354021. The next prime is 132220123354049. The reversal of 132220123354032 is 230453321022231.

It is a super-2 number, since 2×1322201233540322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132220123353984 and 132220123354002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154690557 + ... + 155542947.

Almost surely, 2132220123354032 is an apocalyptic number.

132220123354032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132220123354032 is an abundant number, since it is smaller than the sum of its proper divisors (265121330022480).

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

132220123354032 is a wasteful number, since it uses less digits than its factorization.

132220123354032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918367 (or 918354 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 132220123354032 its reverse (230453321022231), we get a palindrome (362673444376263).

The spelling of 132220123354032 in words is "one hundred thirty-two trillion, two hundred twenty billion, one hundred twenty-three million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 65951 131902 197853 263804 395706 461657 527608 791412 852391 923314 1055216 1384971 1582824 1704782 1846628 2557173 2769942 3165648 3231599 3409564 3693256 5114346 5539884 5966737 6463198 6819128 7386512 9694797 10228692 11079768 11933474 12926396 13638256 17900211 19389594 20457384 22159536 23866948 25852792 35800422 38779188 40914768 41767159 47733896 51705584 71600844 77558376 83534318 95467792 125301477 143201688 155116752 167068636 250602954 286403376 334137272 501205908 668274544 1002411816 2004823632 56216038841 112432077682 168648116523 224864155364 337296233046 393512271887 449728310728 674592466092 787024543774 899456621456 1180536815661 1349184932184 1574049087548 2361073631322 2698369864368 2754585903209 3148098175096 4722147262644 5509171806418 6296196350192 8263757709627 9444294525288 11018343612836 16527515419254 18888589050576 22036687225672 33055030838508 44073374451344 66110061677016 132220123354032