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20112304432242 = 23112372413106751
BaseRepresentation
bin1001001001010110000101…
…10000101110010001110010
32122012201101002001202210010
410210223002300232101302
510114004444413312432
6110435244243515350
74144031436653451
oct444530260562162
978181332052703
1020112304432242
116454642586200
122309a96088b56
13b2b7750482c9
144d7625504b98
1524d2794283cc
hex124ac2c2e472

20112304432242 has 96 divisors (see below), whose sum is σ = 45597227461632. Its totient is φ = 5905310400000.

The previous prime is 20112304432237. The next prime is 20112304432243. The reversal of 20112304432242 is 24223440321102.

It is not an unprimeable number, because it can be changed into a prime (20112304432243) 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 47 ways as a sum of consecutive naturals, for example, 4920367 + ... + 8027117.

It is an arithmetic number, because the mean of its divisors is an integer number (474971119392).

Almost surely, 220112304432242 is an apocalyptic number.

20112304432242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112304432242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22798613730816).

20112304432242 is an abundant number, since it is smaller than the sum of its proper divisors (25484923029390).

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

20112304432242 is a wasteful number, since it uses less digits than its factorization.

20112304432242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107056 (or 3107045 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 20112304432242 its reverse (24223440321102), we get a palindrome (44335744753344).

The spelling of 20112304432242 in words is "twenty trillion, one hundred twelve billion, three hundred four million, four hundred thirty-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 121 222 241 242 363 407 482 723 726 814 1221 1446 2442 2651 4477 5302 7953 8917 8954 13431 15906 17834 26751 26862 29161 53502 58322 87483 98087 174966 196174 294261 588522 1078957 2157914 3106751 3236871 6213502 6473742 9320253 18640506 34174261 68348522 102522783 114949787 205045566 229899574 344849361 375916871 689698722 748726991 751833742 1127750613 1264447657 1497453982 2246180973 2255501226 2528895314 3793342971 4492361946 7586685942 8235996901 13908924227 16471993802 24707990703 27702898667 27817848454 41726772681 49415981406 55405797334 83108696001 83453545362 90595965911 166217392002 181191931822 271787897733 304731885337 543575795466 609463770674 914195656011 1828391312022 3352050738707 6704101477414 10056152216121 20112304432242