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2132332332312 = 2337133726387639
BaseRepresentation
bin11111000001111000111…
…010010100010100011000
321112211220220110212001010
4133001320322110110120
5234414004034113222
64311325134053520
7310025116525050
oct37017072242430
97484826425033
102132332332312
11752354014786
122a531594a2a0
131261026c17a0
14752c3a02560
153a70099c80c
hex1f078e94518

2132332332312 has 128 divisors (see below), whose sum is σ = 6738347750400. Its totient is φ = 547174061568.

The previous prime is 2132332332217. The next prime is 2132332332313.

2132332332312 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2132332332312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132332332313) 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 31 ways as a sum of consecutive naturals, for example, 13113012 + ... + 13274627.

It is an arithmetic number, because the mean of its divisors is an integer number (52643341800).

Almost surely, 22132332332312 is an apocalyptic number.

It is an amenable number.

2132332332312 is an abundant number, since it is smaller than the sum of its proper divisors (4606015418088).

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

2132332332312 is a wasteful number, since it uses less digits than its factorization.

2132332332312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26387705 (or 26387701 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The spelling of 2132332332312 in words is "two trillion, one hundred thirty-two billion, three hundred thirty-two million, three hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 273 296 312 364 444 481 518 546 728 777 888 962 1036 1092 1443 1554 1924 2072 2184 2886 3108 3367 3848 5772 6216 6734 10101 11544 13468 20202 26936 40404 80808 26387639 52775278 79162917 105550556 158325834 184713473 211101112 316651668 343039307 369426946 554140419 633303336 686078614 738853892 976342643 1029117921 1108280838 1372157228 1477707784 1952685286 2058235842 2216561676 2401275149 2744314456 2929027929 3905370572 4116471684 4433123352 4802550298 5858055858 6834398501 7203825447 7810741144 8232943368 9605100596 11716111716 12692454359 13668797002 14407650894 19210201192 20503195503 23432223432 25384908718 27337594004 28815301788 38077363077 41006391006 50769817436 54675188008 57630603576 76154726154 82012782012 88847180513 101539634872 152309452308 164025564024 177694361026 266541541539 304618904616 355388722052 533083083078 710777444104 1066166166156 2132332332312