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2132331213024 = 25351312093279
BaseRepresentation
bin11111000001111000110…
…110000011000011100000
321112211220211100222200000
4133001320312003003200
5234414003242304044
64311325054100000
7310025104153605
oct37017066030340
97484824328600
102132331213024
1175235341a851
122a53154aa600
131261023bc19c
14752c37d06ac
153a70082ad69
hex1f078d830e0

2132331213024 has 144 divisors (see below), whose sum is σ = 6336408798720. Its totient is φ = 705350954880.

The previous prime is 2132331213017. The next prime is 2132331213091. The reversal of 2132331213024 is 4203121332312.

2132331213024 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 331 + 21 + 302 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27984 + ... + 2065295.

It is an arithmetic number, because the mean of its divisors is an integer number (44002838880).

Almost surely, 22132331213024 is an apocalyptic number.

2132331213024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132331213024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168204399360).

2132331213024 is an abundant number, since it is smaller than the sum of its proper divisors (4204077585696).

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

2132331213024 is a wasteful number, since it uses less digits than its factorization.

2132331213024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093435 (or 2093415 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2132331213024 its reverse (4203121332312), we get a palindrome (6335452545336).

The spelling of 2132331213024 in words is "two trillion, one hundred thirty-two billion, three hundred thirty-one million, two hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 243 262 288 324 393 432 486 524 648 786 864 972 1048 1179 1296 1572 1944 2096 2358 2592 3144 3537 3888 4192 4716 6288 7074 7776 9432 10611 12576 14148 18864 21222 28296 31833 37728 42444 56592 63666 84888 113184 127332 169776 254664 339552 509328 1018656 2093279 4186558 6279837 8373116 12559674 16746232 18839511 25119348 33492464 37679022 50238696 56518533 66984928 75358044 100477392 113037066 150716088 169555599 200954784 226074132 274219549 301432176 339111198 452148264 508666797 548439098 602864352 678222396 822658647 904296528 1017333594 1096878196 1356444792 1645317294 1808593056 2034667188 2193756392 2467975941 2712889584 3290634588 4069334376 4387512784 4935951882 5425779168 6581269176 7403927823 8138668752 8775025568 9871903764 13162538352 14807855646 16277337504 19743807528 22211783469 26325076704 29615711292 39487615056 44423566938 59231422584 66635350407 78975230112 88847133876 118462845168 133270700814 177694267752 236925690336 266541401628 355388535504 533082803256 710777071008 1066165606512 2132331213024