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132013002112 = 2723375092381
BaseRepresentation
bin111101011110010010…
…1101000110110000000
3110121202012202100101121
41322330211220312000
54130330312031422
6140351304442024
712352256001115
oct1727445506600
9417665670347
10132013002112
1150a93997442
1221702a79314
13c5aac52044
14656498a90c
1536799438c7
hex1ebc968d80

132013002112 has 128 divisors (see below), whose sum is σ = 282518539200. Its totient is φ = 61283819520.

The previous prime is 132013002083. The next prime is 132013002137. The reversal of 132013002112 is 211200310231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55443162 + ... + 55445542.

Almost surely, 2132013002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132013002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141259269600).

132013002112 is an abundant number, since it is smaller than the sum of its proper divisors (150505537088).

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

132013002112 is a wasteful number, since it uses less digits than its factorization.

132013002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 132013002112 its reverse (211200310231), we get a palindrome (343213312343).

The spelling of 132013002112 in words is "one hundred thirty-two billion, thirteen million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 128 148 184 296 368 509 592 736 851 1018 1184 1472 1702 2036 2368 2381 2944 3404 4072 4736 4762 6808 8144 9524 11707 13616 16288 18833 19048 23414 27232 32576 37666 38096 46828 54464 54763 65152 75332 76192 88097 93656 108928 109526 150664 152384 176194 187312 219052 301328 304768 352388 374624 433159 438104 602656 704776 749248 866318 876208 1205312 1211929 1409552 1498496 1732636 1752416 2026231 2410624 2423858 2819104 3465272 3504832 4052462 4847716 5638208 6930544 7009664 8104924 9695432 11276416 13861088 16209848 19390864 27722176 27874367 32419696 38781728 44841373 55444352 55748734 64839392 77563456 89682746 111497468 129678784 155126912 179365492 222994936 259357568 358730984 445989872 717461968 891979744 1031351579 1434923936 1783959488 2062703158 2869847872 3567918976 4125406316 5739695744 8250812632 16501625264 33003250528 66006501056 132013002112