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1304402233320 = 233257095110493
BaseRepresentation
bin10010111110110100011…
…011101000011111101000
311121200220000221002001200
4102332310123220133220
5132332403432431240
62435122322444200
7163145206021014
oct22766433503750
94550800832050
101304402233320
1146321506724a
12190975803660
139600a15cb24
14471c20c5544
1523de5650930
hex12fb46e87e8

1304402233320 has 96 divisors (see below), whose sum is σ = 4245287365800. Its totient is φ = 347349920256.

The previous prime is 1304402233319. The next prime is 1304402233333. The reversal of 1304402233320 is 233322044031.

1304402233320 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 402 + 233 + 3 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1035595240164 + 268806993156 = 1017642^2 + 518466^2 .

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 23 ways as a sum of consecutive naturals, for example, 2300007 + ... + 2810486.

Almost surely, 21304402233320 is an apocalyptic number.

1304402233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304402233320 is an abundant number, since it is smaller than the sum of its proper divisors (2940885132480).

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

1304402233320 is a wasteful number, since it uses less digits than its factorization.

1304402233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111219 (or 5111212 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1304402233320 its reverse (233322044031), we get a palindrome (1537724277351).

The spelling of 1304402233320 in words is "one trillion, three hundred four billion, four hundred two million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 1418 2127 2836 3545 4254 5672 6381 7090 8508 10635 12762 14180 17016 21270 25524 28360 31905 42540 51048 63810 85080 127620 255240 5110493 10220986 15331479 20441972 25552465 30662958 40883944 45994437 51104930 61325916 76657395 91988874 102209860 122651832 153314790 183977748 204419720 229972185 306629580 367955496 459944370 613259160 919888740 1839777480 3623339537 7246679074 10870018611 14493358148 18116697685 21740037222 28986716296 32610055833 36233395370 43480074444 54350093055 65220111666 72466790740 86960148888 108700186110 130440223332 144933581480 163050279165 217400372220 260880446664 326100558330 434800744440 652201116660 1304402233320