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332233130013000 = 23353891244318839
BaseRepresentation
bin100101110001010100000110…
…1101100100111000101001000
31121120100011210001201220211020
41023202220031230213011020
5322021301422240404000
63134333443133432440
7126660023451116466
oct11342501554470510
91546304701656736
10332233130013000
1196950308657697
123131900b03b720
131134c5b0095588
145c08252769836
15286222d389ba0
hex12e2a0db27148

332233130013000 has 128 divisors (see below), whose sum is σ = 1048214190816000. Its totient is φ = 87600046195200.

The previous prime is 332233130012951. The next prime is 332233130013053. The reversal of 332233130013000 is 310031332233.

It is a super-2 number, since 2×3322331300130002 (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 621892420 + ... + 622426419.

It is an arithmetic number, because the mean of its divisors is an integer number (8189173365750).

Almost surely, 2332233130013000 is an apocalyptic number.

332233130013000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332233130013000 is an abundant number, since it is smaller than the sum of its proper divisors (715981060803000).

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

332233130013000 is a wasteful number, since it uses less digits than its factorization.

332233130013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244318952 (or 1244318938 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 332233130013000 its reverse (310031332233), we get a palindrome (332543161345233).

The spelling of 332233130013000 in words is "three hundred thirty-two trillion, two hundred thirty-three billion, one hundred thirty million, thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 125 150 178 200 250 267 300 356 375 445 500 534 600 712 750 890 1000 1068 1335 1500 1780 2136 2225 2670 3000 3560 4450 5340 6675 8900 10680 11125 13350 17800 22250 26700 33375 44500 53400 66750 89000 133500 267000 1244318839 2488637678 3732956517 4977275356 6221594195 7465913034 9954550712 12443188390 14931826068 18664782585 24886376780 29863652136 31107970975 37329565170 49772753560 62215941950 74659130340 93323912925 110744376671 124431883900 149318260680 155539854875 186647825850 221488753342 248863767800 311079709750 332233130013 373295651700 442977506684 466619564625 553721883355 622159419500 664466260026 746591303400 885955013368 933239129250 1107443766710 1244318839000 1328932520052 1661165650065 1866478258500 2214887533420 2657865040104 2768609416775 3322331300130 3732956517000 4429775066840 5537218833550 6644662600260 8305828250325 11074437667100 13289325200520 13843047083875 16611656500650 22148875334200 27686094167750 33223313001300 41529141251625 55372188335500 66446626002600 83058282503250 110744376671000 166116565006500 332233130013000