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20233431042 = 23111771499509
BaseRepresentation
bin10010110110000000…
…011010100000000010
31221020002202210102220
4102312000122200002
5312414224243132
613143424351510
71314255216606
oct226600324002
957202683386
1020233431042
118643276240
123b08175596
131ba5b68806
14d9d2cb506
157d64caa2c
hex4b601a802

20233431042 has 128 divisors (see below), whose sum is σ = 47589120000. Its totient is φ = 5666841600.

The previous prime is 20233431017. The next prime is 20233431047. The reversal of 20233431042 is 24013433202.

It is not an unprimeable number, because it can be changed into a prime (20233431047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39751084 + ... + 39751592.

It is an arithmetic number, because the mean of its divisors is an integer number (371790000).

Almost surely, 220233431042 is an apocalyptic number.

20233431042 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 20233431042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23794560000).

20233431042 is an abundant number, since it is smaller than the sum of its proper divisors (27355688958).

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

20233431042 is a wasteful number, since it uses less digits than its factorization.

20233431042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112.

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20233431042 its reverse (24013433202), we get a palindrome (44246864244).

The spelling of 20233431042 in words is "twenty billion, two hundred thirty-three million, four hundred thirty-one thousand, forty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 71 102 142 187 213 374 426 499 509 561 781 998 1018 1122 1207 1497 1527 1562 2343 2414 2994 3054 3621 4686 5489 5599 7242 8483 8653 10978 11198 13277 16467 16797 16966 17306 25449 25959 26554 32934 33594 35429 36139 39831 50898 51918 70858 72278 79662 93313 95183 106287 108417 186626 190366 212574 216834 253991 279939 285549 389719 397529 507982 559878 571098 602293 614363 761973 779438 795058 1169157 1192587 1204586 1228726 1523946 1806879 1843089 2338314 2385174 2793901 3613758 3686178 4317847 5587802 6625223 6757993 8381703 8635694 12953541 13250446 13515986 16763406 18033361 19875669 20273979 25907082 36066722 39751338 40547958 47496317 54100083 94992634 108200166 142488951 198366971 284977902 306567137 396733942 595100913 613134274 919701411 1190201826 1839402822 3372238507 6744477014 10116715521 20233431042