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22330102120000 = 26541015527253
BaseRepresentation
bin1010001001111001000011…
…10011011111111001000000
32221001201220012200112001021
411010330201303133321000
510411324022120320000
6115254150213115224
74463203514163163
oct504744163377100
987051805615037
1022330102120000
11712a163558444
122607882028b14
13c5c947c4551c
14572ad5a7bada
1528accd0be11a
hex144f21cdfe40

22330102120000 has 140 divisors (see below), whose sum is σ = 55919637734796. Its totient is φ = 8843603200000.

The previous prime is 22330102119967. The next prime is 22330102120019. The reversal of 22330102120000 is 2120103322.

It can be written as a sum of positive squares in 10 ways, for example, as 4922114965056 + 17407987154944 = 2218584^2 + 4172288^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1276374 + ... + 6803626.

Almost surely, 222330102120000 is an apocalyptic number.

22330102120000 is a gapful number since it is divisible by the number (20) 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 22330102120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27959818867398).

22330102120000 is an abundant number, since it is smaller than the sum of its proper divisors (33589535614796).

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

22330102120000 is an equidigital number, since it uses as much as digits as its factorization.

22330102120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527386 (or 5527361 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22330102120000 its reverse (2120103322), we get a palindrome (22332222223322).

The spelling of 22330102120000 in words is "twenty-two trillion, three hundred thirty billion, one hundred two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 505 625 800 808 1000 1010 1250 1600 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 6464 8000 8080 10000 10100 12625 16160 20000 20200 25250 32320 40000 40400 50500 63125 80800 101000 126250 161600 202000 252500 404000 505000 808000 1010000 2020000 4040000 5527253 11054506 22109012 27636265 44218024 55272530 88436048 110545060 138181325 176872096 221090120 276362650 353744192 442180240 552725300 558252553 690906625 884360480 1105450600 1116505106 1381813250 1768720960 2210901200 2233010212 2763626500 2791262765 3454533125 4421802400 4466020424 5527253000 5582525530 6909066250 8843604800 8932040848 11054506000 11165051060 13818132500 13956313825 17864081696 22109012000 22330102120 27636265000 27912627650 35728163392 44218024000 44660204240 55272530000 55825255300 69781569125 89320408480 110545060000 111650510600 139563138250 178640816960 221090120000 223301021200 279126276500 348907845625 446602042400 558252553000 697815691250 893204084800 1116505106000 1395631382500 2233010212000 2791262765000 4466020424000 5582525530000 11165051060000 22330102120000