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132332332121312 = 25476110114281273
BaseRepresentation
bin11110000101101100000101…
…101001011111110011100000
3122100112211212202101002212112
4132011230011221133303200
5114321113104010340222
61145240344545414452
736605460360504431
oct3605540551376340
9570484782332775
10132332332121312
113918a910649624
1212a12a8633a428
1358abb68220a8b
142496cc1c29488
151047403477be2
hex785b05a5fce0

132332332121312 has 96 divisors (see below), whose sum is σ = 273111884970624. Its totient is φ = 63066097152000.

The previous prime is 132332332121303. The next prime is 132332332121321. The reversal of 132332332121312 is 213121233233231.

It is an interprime number because it is at equal distance from previous prime (132332332121303) and next prime (132332332121321).

It is a super-2 number, since 2×1323323321213122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2125508 + ... + 16406780.

It is an arithmetic number, because the mean of its divisors is an integer number (2844915468444).

Almost surely, 2132332332121312 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 132332332121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136555942485312).

132332332121312 is an abundant number, since it is smaller than the sum of its proper divisors (140779552849312).

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

132332332121312 is a wasteful number, since it uses less digits than its factorization.

132332332121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14281492 (or 14281484 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

Adding to 132332332121312 its reverse (213121233233231), we get a palindrome (345453565354543).

The spelling of 132332332121312 in words is "one hundred thirty-two trillion, three hundred thirty-two billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 61 94 101 122 188 202 244 376 404 488 752 808 976 1504 1616 1952 2867 3232 4747 5734 6161 9494 11468 12322 18988 22936 24644 37976 45872 49288 75952 91744 98576 151904 197152 289567 579134 1158268 2316536 4633072 9266144 14281273 28562546 57125092 114250184 228500368 457000736 671219831 871157653 1342439662 1442408573 1742315306 2684879324 2884817146 3484630612 5369758648 5769634292 6969261224 10739517296 11539268584 13938522448 21479034592 23078537168 27877044896 40944409691 46157074336 67793202931 81888819382 87986922953 135586405862 163777638764 175973845906 271172811724 327555277528 351947691812 542345623448 655110555056 703895383624 1084691246896 1310221110112 1407790767248 2169382493792 2815581534496 4135385378791 8270770757582 16541541515164 33083083030328 66166166060656 132332332121312