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133222010303130 = 23574795692327603
BaseRepresentation
bin11110010010101000101010…
…100110011011001010011010
3122110200220021221211111102120
4132102220222212123022122
5114430202134114200010
61151201202512442110
740026654415332540
oct3622505246331232
9573626257744376
10133222010303130
11394a31567a8671
1212b37399849336
135944a21422a58
1424c7da0439d90
151060624727e70
hex792a2a99b29a

133222010303130 has 128 divisors (see below), whose sum is σ = 366815493734400. Its totient is φ = 30333756163584.

The previous prime is 133222010303027. The next prime is 133222010303201. The reversal of 133222010303130 is 31303010222331.

It is a self number, because there is not a number n which added to its sum of digits gives 133222010303130.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56071909 + ... + 58399511.

It is an arithmetic number, because the mean of its divisors is an integer number (2865746044800).

Almost surely, 2133222010303130 is an apocalyptic number.

133222010303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133222010303130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183407746867200).

133222010303130 is an abundant number, since it is smaller than the sum of its proper divisors (233593483431270).

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

133222010303130 is a wasteful number, since it uses less digits than its factorization.

133222010303130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328668.

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

Adding to 133222010303130 its reverse (31303010222331), we get a palindrome (164525020525461).

The spelling of 133222010303130 in words is "one hundred thirty-three trillion, two hundred twenty-two billion, ten million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 479 569 958 1138 1437 1707 2395 2845 2874 3353 3414 3983 4790 5690 6706 7185 7966 8535 10059 11949 14370 16765 17070 19915 20118 23898 33530 39830 50295 59745 100590 119490 272551 545102 817653 1362755 1635306 1907857 2327603 2725510 3815714 4088265 4655206 5723571 6982809 8176530 9539285 11447142 11638015 13965618 16293221 19078570 23276030 28617855 32586442 34914045 48879663 57235710 69828090 81466105 97759326 162932210 244398315 488796630 1114921837 1324406107 2229843674 2648812214 3344765511 3973218321 5574609185 6622030535 6689531022 7804452859 7946436642 9270842749 11149218370 13244061070 15608905718 16723827555 18541685498 19866091605 23413358577 27812528247 33447655110 39022264295 39732183210 46354213745 46826717154 55625056494 78044528590 92708427490 117066792885 139062641235 234133585770 278125282470 634390525253 1268781050506 1903171575759 3171952626265 3806343151518 4440733676771 6343905252530 8881467353542 9515857878795 13322201030313 19031715757590 22203668383855 26644402060626 44407336767710 66611005151565 133222010303130