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133302000103220 = 2251333033727813
BaseRepresentation
bin11110010011110011001010…
…010111010010111100110100
3122110222112202120202100210002
4132103303022113102330310
5114433004444011300340
61151302032103450432
740035515554403024
oct3623631227227464
9573875676670702
10133302000103220
1139524073978373
1212b4a9a2156a18
13594c42b3c6000
1424cbbcbabba84
151062756d7e715
hex793cca5d2f34

133302000103220 has 48 divisors (see below), whose sum is σ = 303251432287440. Its totient is φ = 49219200021888.

The previous prime is 133302000103211. The next prime is 133302000103243. The reversal of 133302000103220 is 22301000203331.

It can be written as a sum of positive squares in 8 ways, for example, as 65435609635984 + 67866390467236 = 8089228^2 + 8238106^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 133302000103192 and 133302000103201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1516819967 + ... + 1516907846.

It is an arithmetic number, because the mean of its divisors is an integer number (6317738172655).

Almost surely, 2133302000103220 is an apocalyptic number.

133302000103220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133302000103220 is an abundant number, since it is smaller than the sum of its proper divisors (169949432184220).

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

133302000103220 is a wasteful number, since it uses less digits than its factorization.

133302000103220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033727861 (or 3033727833 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 133302000103220 its reverse (22301000203331), we get a palindrome (155603000306551).

The spelling of 133302000103220 in words is "one hundred thirty-three trillion, three hundred two billion, one hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2197 3380 4394 8788 10985 21970 43940 3033727813 6067455626 12134911252 15168639065 30337278130 39438461569 60674556260 78876923138 157753846276 197192307845 394384615690 512700000397 788769231380 1025400000794 2050800001588 2563500001985 5127000003970 6665100005161 10254000007940 13330200010322 26660400020644 33325500025805 66651000051610 133302000103220