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133120312224 = 2534093390391
BaseRepresentation
bin111101111111010010…
…1101100001110100000
3110201121101100112022020
41323332211230032200
54140112244442344
6141053222141440
712421562661354
oct1737645541640
9421541315266
10133120312224
1151501a44969
1221971881880
13c726492123
14662ba6d464
1536e1c70719
hex1efe96c3a0

133120312224 has 48 divisors (see below), whose sum is σ = 350295301440. Its totient is φ = 44264931840.

The previous prime is 133120312219. The next prime is 133120312253. The reversal of 133120312224 is 422213021331.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 133120312194 and 133120312203.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1655932 + ... + 1734459.

It is an arithmetic number, because the mean of its divisors is an integer number (7297818780).

Almost surely, 2133120312224 is an apocalyptic number.

It is an amenable number.

133120312224 is an abundant number, since it is smaller than the sum of its proper divisors (217174989216).

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

133120312224 is a wasteful number, since it uses less digits than its factorization.

133120312224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390813 (or 3390805 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 133120312224 its reverse (422213021331), we get a palindrome (555333333555).

The spelling of 133120312224 in words is "one hundred thirty-three billion, one hundred twenty million, three hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 409 818 1227 1636 2454 3272 4908 6544 9816 13088 19632 39264 3390391 6780782 10171173 13561564 20342346 27123128 40684692 54246256 81369384 108492512 162738768 325477536 1386669919 2773339838 4160009757 5546679676 8320019514 11093359352 16640039028 22186718704 33280078056 44373437408 66560156112 133120312224