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133122312220 = 22553311403817
BaseRepresentation
bin111101111111010110…
…1010100100000011100
3110201121112010010210011
41323332231110200130
54140113302442340
6141053333053004
712421615661302
oct1737655244034
9421545103704
10133122312220
1151503090557
1221972487164
13c726a12561
14662c030272
1536e20180ea
hex1efeb5481c

133122312220 has 48 divisors (see below), whose sum is σ = 285748077888. Its totient is φ = 52076111360.

The previous prime is 133122312203. The next prime is 133122312221. The reversal of 133122312220 is 22213221331.

It is a super-2 number, since 2×1331223122202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133122312191 and 133122312200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133122312221) 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, 127752 + ... + 531568.

It is an arithmetic number, because the mean of its divisors is an integer number (5953084956).

Almost surely, 2133122312220 is an apocalyptic number.

133122312220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133122312220 is an abundant number, since it is smaller than the sum of its proper divisors (152625765668).

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

133122312220 is a wasteful number, since it uses less digits than its factorization.

133122312220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404190 (or 404188 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 133122312220 its reverse (22213221331), we get a palindrome (155335533551).

The spelling of 133122312220 in words is "one hundred thirty-three billion, one hundred twenty-two million, three hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 311 530 622 1060 1244 1555 3110 6220 16483 32966 65932 82415 164830 329660 403817 807634 1615268 2019085 4038170 8076340 21402301 42804602 85609204 107011505 125587087 214023010 251174174 428046020 502348348 627935435 1255870870 2511741740 6656115611 13312231222 26624462444 33280578055 66561156110 133122312220