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21142103402308 = 2271967997594931
BaseRepresentation
bin1001100111010100001111…
…00100000010011101000100
32202212011110112111201102011
410303222013210002131010
510232343011432333213
6112544314225424004
74311316013534320
oct463520744023504
982764415451364
1021142103402308
116811352219389
12245559379b004
13ba48cbb50bc5
145313d73c6980
15269e4bd0903d
hex133a87902744

21142103402308 has 96 divisors (see below), whose sum is σ = 45219401077760. Its totient is φ = 8447396791680.

The previous prime is 21142103402293. The next prime is 21142103402309. The reversal of 21142103402308 is 80320430124112.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 21142103402308.

It is not an unprimeable number, because it can be changed into a prime (21142103402309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35239603 + ... + 35834533.

Almost surely, 221142103402308 is an apocalyptic number.

21142103402308 is a gapful number since it is divisible by the number (28) 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 21142103402308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22609700538880).

21142103402308 is an abundant number, since it is smaller than the sum of its proper divisors (24077297675452).

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

21142103402308 is a wasteful number, since it uses less digits than its factorization.

21142103402308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596025 (or 596023 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 21142103402308 in words is "twenty-one trillion, one hundred forty-two billion, one hundred three million, four hundred two thousand, three hundred eight".

Divisors: 1 2 4 7 14 19 28 38 67 76 133 134 266 268 469 532 938 997 1273 1876 1994 2546 3988 5092 6979 8911 13958 17822 18943 27916 35644 37886 66799 75772 132601 133598 265202 267196 467593 530404 594931 935186 1189862 1269181 1870372 2379724 2538362 4164517 5076724 8329034 8884267 11303689 16658068 17768534 22607378 35537068 39860377 45214756 79125823 79720754 158251646 159441508 279022639 316503292 558045278 593146207 757347163 1116090556 1186292414 1514694326 2372584828 3029388652 4152023449 5301430141 8304046898 10602860282 11269777933 16608093796 21205720564 22539555866 39740795869 45079111732 78888445531 79481591738 157776891062 158963183476 278185571083 315553782124 556371142166 755075121511 1112742284332 1510150243022 3020300486044 5285525850577 10571051701154 21142103402308