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2322135105420 = 2235132977096289
BaseRepresentation
bin100001110010101010000…
…010011011111110001100
322012222211120212201222110
4201302222002123332030
5301021213041333140
64534435114144020
7326524446502434
oct41625202337614
98188746781873
102322135105420
118158a2802439
12316066422010
1313ac901ca4a0
148056b6a12c4
154060daa6380
hex21caa09bf8c

2322135105420 has 48 divisors (see below), whose sum is σ = 7002130474080. Its totient is φ = 571602487296.

The previous prime is 2322135105379. The next prime is 2322135105427. The reversal of 2322135105420 is 245015312232.

It is a super-2 number, since 2×23221351054202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2322135105427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1488547365 + ... + 1488548924.

It is an arithmetic number, because the mean of its divisors is an integer number (145877718210).

Almost surely, 22322135105420 is an apocalyptic number.

2322135105420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322135105420 is an abundant number, since it is smaller than the sum of its proper divisors (4679995368660).

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

2322135105420 is a wasteful number, since it uses less digits than its factorization.

2322135105420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977096314 (or 2977096312 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 2322135105420 in words is "two trillion, three hundred twenty-two billion, one hundred thirty-five million, one hundred five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 2977096289 5954192578 8931288867 11908385156 14885481445 17862577734 29770962890 35725155468 38702251757 44656444335 59541925780 77404503514 89312888670 116106755271 154809007028 178625777340 193511258785 232213510542 387022517570 464427021084 580533776355 774045035140 1161067552710 2322135105420