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133120233222132 = 223134491900523003
BaseRepresentation
bin11110010001001001111000…
…001101101010111111110100
3122110100011120221022002100010
4132101021320031222333310
5114422020214201102012
61151042331344420220
740016422322404062
oct3621117015527764
9573304527262303
10133120233222132
1139463a79242292
1212b1b714917670
1359382516b91c0
1424c30a738b032
15105cb694b0c3c
hex79127836aff4

133120233222132 has 48 divisors (see below), whose sum is σ = 335252257905600. Its totient is φ = 40868846635008.

The previous prime is 133120233222121. The next prime is 133120233222139. The reversal of 133120233222132 is 231222332021331.

It is a super-2 number, since 2×1331202332221322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133120233222132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133120233222139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 950191458 + ... + 950331545.

It is an arithmetic number, because the mean of its divisors is an integer number (6984422039700).

Almost surely, 2133120233222132 is an apocalyptic number.

133120233222132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133120233222132 is an abundant number, since it is smaller than the sum of its proper divisors (202132024683468).

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

133120233222132 is a wasteful number, since it uses less digits than its factorization.

133120233222132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900523472 (or 1900523470 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 133120233222132 its reverse (231222332021331), we get a palindrome (364342565243463).

The spelling of 133120233222132 in words is "one hundred thirty-three trillion, one hundred twenty billion, two hundred thirty-three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 449 898 1347 1796 2694 5388 5837 11674 17511 23348 35022 70044 1900523003 3801046006 5701569009 7602092012 11403138018 22806276036 24706799039 49413598078 74120397117 98827196156 148240794234 296481588468 853334828347 1706669656694 2560004485041 3413339313388 5120008970082 10240017940164 11093352768511 22186705537022 33280058305533 44373411074044 66560116611066 133120233222132