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2321413410330 = 2325717212141071
BaseRepresentation
bin100001110001111111000…
…001011000111000011010
322012220222021212211102200
4201301333001120320122
5301013223313112310
64534235333511030
7326500534262220
oct41617701307032
98186867784380
102321413410330
11815562395213
12315aa47a2476
1313aba6833281
14804dd8bab10
15405ba54a9c0
hex21c7f058e1a

2321413410330 has 96 divisors (see below), whose sum is σ = 6901925442048. Its totient is φ = 530300217600.

The previous prime is 2321413410313. The next prime is 2321413410397. The reversal of 2321413410330 is 330143141232.

It is a happy number.

2321413410330 is a `hidden beast` number, since 2 + 3 + 214 + 1 + 3 + 410 + 3 + 30 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2321413410294 and 2321413410303.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13695 + ... + 2154765.

It is an arithmetic number, because the mean of its divisors is an integer number (71895056688).

Almost surely, 22321413410330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321413410330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450962721024).

2321413410330 is an abundant number, since it is smaller than the sum of its proper divisors (4580512031718).

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

2321413410330 is a wasteful number, since it uses less digits than its factorization.

2321413410330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142812 (or 2142809 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2321413410330 its reverse (330143141232), we get a palindrome (2651556551562).

The spelling of 2321413410330 in words is "two trillion, three hundred twenty-one billion, four hundred thirteen million, four hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1721 3442 5163 8605 10326 12047 15489 17210 24094 25815 30978 36141 51630 60235 72282 77445 108423 120470 154890 180705 216846 361410 542115 1084230 2141071 4282142 6423213 10705355 12846426 14987497 19269639 21410710 29974994 32116065 38539278 44962491 64232130 74937485 89924982 96348195 134887473 149874970 192696390 224812455 269774946 449624910 674437365 1348874730 3684783191 7369566382 11054349573 18423915955 22108699146 25793482337 33163048719 36847831910 51586964674 55271747865 66326097438 77380447011 110543495730 128967411685 154760894022 165815243595 232141341033 257934823370 331630487190 386902235055 464282682066 773804470110 1160706705165 2321413410330