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12302264213204 = 22722331149958727
BaseRepresentation
bin1011001100000101100000…
…0101101001111011010100
31121120002021221112002010212
42303001120011221323110
53103030014114310304
642055325425104552
72406544401306500
oct263013005517324
947502257462125
1012302264213204
113a133a7479a89
121468317488158
136b3138643704
1430760b715300
1516502428266e
hexb3058169ed4

12302264213204 has 144 divisors (see below), whose sum is σ = 26994207744000. Its totient is φ = 4877142621120.

The previous prime is 12302264213189. The next prime is 12302264213231. The reversal of 12302264213204 is 40231246220321.

It is a congruent number.

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, 209452889 + ... + 209511615.

It is an arithmetic number, because the mean of its divisors is an integer number (187459776000).

Almost surely, 212302264213204 is an apocalyptic number.

12302264213204 is a gapful number since it is divisible by the number (14) 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 12302264213204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497103872000).

12302264213204 is an abundant number, since it is smaller than the sum of its proper divisors (14691943530796).

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

12302264213204 is a wasteful number, since it uses less digits than its factorization.

12302264213204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60298 (or 60289 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The spelling of 12302264213204 in words is "twelve trillion, three hundred two billion, two hundred sixty-four million, two hundred thirteen thousand, two hundred four".

Divisors: 1 2 4 7 14 23 28 31 46 49 62 92 98 124 161 196 217 322 434 644 713 868 1127 1426 1499 1519 2254 2852 2998 3038 4508 4991 5996 6076 9982 10493 19964 20986 34477 34937 41972 46469 58727 68954 69874 73451 92938 117454 137908 139748 146902 185876 234908 241339 293804 325283 411089 482678 650566 822178 965356 1068787 1301132 1350721 1644356 1689373 1820537 2137574 2276981 2701442 2877623 3378746 3641074 4275148 4553962 5402884 5755246 6757492 7282148 7481509 9107924 9455047 11510492 12743759 14963018 18910094 25487518 29926036 37820188 41872351 50975036 52370563 66185329 83744702 88031773 89206313 104741126 132370658 167489404 176063546 178412626 209482252 264741316 293106457 352127092 356825252 586212914 616222411 1172425828 1232444822 2024730779 2051745199 2464889644 2728984963 4049461558 4103490398 4313556877 5457969926 8098923116 8206980796 8627113754 10915939852 14173115453 17254227508 19102894741 28346230906 38205789482 56692461812 62766654149 76411578964 99211808171 125533308298 133720263187 198423616342 251066616596 267440526374 396847232684 439366579043 534881052748 878733158086 1757466316172 3075566053301 6151132106602 12302264213204