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15331310021142 = 23229972571178159
BaseRepresentation
bin1101111100011001100101…
…0010011010101000010110
32000021122210100121021112100
43133012121102122220112
54002142010331134032
652335035005102530
73141436103666433
oct337063122325026
960248710537470
1015331310021142
114980a76903105
121877388857a46
138729759497cb
143b007a030b8a
151b8c0896b97c
hexdf19949aa16

15331310021142 has 96 divisors (see below), whose sum is σ = 34852659004800. Its totient is φ = 4864341049344.

The previous prime is 15331310021123. The next prime is 15331310021143. The reversal of 15331310021142 is 24112001313351.

15331310021142 is a `hidden beast` number, since 1 + 5 + 331 + 310 + 0 + 2 + 1 + 14 + 2 = 666.

15331310021142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×153313100211422 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15331310021143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12423859 + ... + 13602017.

It is an arithmetic number, because the mean of its divisors is an integer number (363048531300).

Almost surely, 215331310021142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15331310021142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426329502400).

15331310021142 is an abundant number, since it is smaller than the sum of its proper divisors (19521348983658).

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

15331310021142 is a wasteful number, since it uses less digits than its factorization.

15331310021142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178550 (or 1178547 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 15331310021142 its reverse (24112001313351), we get a palindrome (39443311334493).

The spelling of 15331310021142 in words is "fifteen trillion, three hundred thirty-one billion, three hundred ten million, twenty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 97 174 194 257 261 291 514 522 582 771 873 1542 1746 2313 2813 4626 5626 7453 8439 14906 16878 22359 24929 25317 44718 49858 50634 67077 74787 134154 149574 224361 448722 722941 1178159 1445882 2168823 2356318 3534477 4337646 6506469 7068954 10603431 13012938 21206862 34166611 68333222 102499833 114281423 204999666 228562846 302786863 307499499 342844269 605573726 614998998 685688538 908360589 1028532807 1816721178 2057065614 2725081767 3314161267 5450163534 6628322534 8780819027 9942483801 17561638054 19884967602 26342457081 29370325711 29827451403 52684914162 58740651422 59654902806 79027371243 88110977133 158054742486 176221954266 264332931399 528665862798 851739445619 1703478891238 2555218336857 5110436673714 7665655010571 15331310021142