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1333002231220 = 2251129929322483
BaseRepresentation
bin10011011001011101000…
…111111101110110110100
311201102201012212111121011
4103121131013331312310
5133314442032344340
62500212304002004
7165210016005052
oct23313507756664
94642635774534
101333002231220
1147436100aa50
12196417900304
13989174754ca
144873661b1d2
1524a1b3d40ea
hex1365d1fddb4

1333002231220 has 96 divisors (see below), whose sum is σ = 3159570395520. Its totient is φ = 467942146560.

The previous prime is 1333002231199. The next prime is 1333002231229. The reversal of 1333002231220 is 221322003331.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1333002231191 and 1333002231200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333002231229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59278099 + ... + 59300581.

It is an arithmetic number, because the mean of its divisors is an integer number (32912191620).

Almost surely, 21333002231220 is an apocalyptic number.

1333002231220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1333002231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579785197760).

1333002231220 is an abundant number, since it is smaller than the sum of its proper divisors (1826568164300).

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

1333002231220 is a wasteful number, since it uses less digits than its factorization.

1333002231220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31825 (or 31823 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1333002231220 its reverse (221322003331), we get a palindrome (1554324234551).

The spelling of 1333002231220 in words is "one trillion, three hundred thirty-three billion, two million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 9293 18586 22483 37172 44966 46465 89932 92930 102223 112415 185860 204446 224830 247313 269497 408892 449660 494626 511115 538994 652007 989252 1022230 1077988 1236565 1304014 1347485 2044460 2473130 2608028 2694970 2964467 3260035 4946260 5389940 5928934 6520070 7172077 11857868 13040140 14344154 14822335 28688308 29644670 35860385 59289340 71720770 143441540 208934519 417869038 835738076 1044672595 2089345190 2298279709 4178690380 4596559418 6059101051 9193118836 11491398545 12118202102 22982797090 24236404204 30295505255 45965594180 60591010510 66650111561 121182021020 133300223122 266600446244 333250557805 666501115610 1333002231220