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2431242102222 = 2333759191107981
BaseRepresentation
bin100011011000010001010…
…100100110010111001110
322121102110102221110021000
4203120101110212113032
5304313140434232342
65100521443521130
7340436305615143
oct43302124462716
98542412843230
102431242102222
118580a1869a7a
123332360891a6
1314835a6b061b
148595c02a3ca
15433975a544c
hex236115265ce

2431242102222 has 128 divisors (see below), whose sum is σ = 5672424038400. Its totient is φ = 771080860800.

The previous prime is 2431242102203. The next prime is 2431242102271. The reversal of 2431242102222 is 2222012421342.

2431242102222 is a `hidden beast` number, since 2 + 4 + 3 + 12 + 421 + 0 + 2 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22461472 + ... + 22569452.

It is an arithmetic number, because the mean of its divisors is an integer number (44315812800).

Almost surely, 22431242102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2431242102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836212019200).

2431242102222 is an abundant number, since it is smaller than the sum of its proper divisors (3241181936178).

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

2431242102222 is a wasteful number, since it uses less digits than its factorization.

2431242102222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108279 (or 108273 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 2431242102222 its reverse (2222012421342), we get a palindrome (4653254523564).

The spelling of 2431242102222 in words is "two trillion, four hundred thirty-one billion, two hundred forty-two million, one hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 59 74 111 118 177 191 222 333 354 382 531 573 666 999 1062 1146 1593 1719 1998 2183 3186 3438 4366 5157 6549 7067 10314 11269 13098 14134 19647 21201 22538 33807 39294 42402 58941 63603 67614 101421 107981 117882 127206 190809 202842 215962 304263 323943 381618 416953 608526 647886 833906 971829 1250859 1943658 2501718 2915487 3752577 3995297 5830974 6370879 7505154 7990594 11257731 11985891 12741758 19112637 20624371 22515462 23971782 35957673 38225274 41248742 57337911 61873113 71915346 107873019 114675822 123746226 172013733 185619339 215746038 235722523 344027466 371238678 471445046 556858017 707167569 763101727 1113716034 1216837889 1414335138 1526203454 2121502707 2289305181 2433675778 3650513667 4243005414 4578610362 6364508121 6867915543 7301027334 10951541001 12729016242 13735831086 20603746629 21903082002 32854623003 41207493258 45023001893 65709246006 90046003786 135069005679 270138011358 405207017037 810414034074 1215621051111 2431242102222