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132203231321312 = 2529893834179317
BaseRepresentation
bin11110000011110011110110…
…101001000001110011100000
3122100002111122111102221202102
4132003303312221001303200
5114312004204204240222
61145101154231305532
736563240213014424
oct3603636651016340
9570074574387672
10132203231321312
1139140091605798
12129b1a5681b2a8
13589c932722768
142490955d4cb84
151043d99533d92
hex783cf6a41ce0

132203231321312 has 96 divisors (see below), whose sum is σ = 272986364851200. Its totient is φ = 62940365221888.

The previous prime is 132203231321299. The next prime is 132203231321327. The reversal of 132203231321312 is 213123132302231.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29543078 + ... + 33722394.

It is an arithmetic number, because the mean of its divisors is an integer number (2843607967200).

Almost surely, 2132203231321312 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 132203231321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136493182425600).

132203231321312 is an abundant number, since it is smaller than the sum of its proper divisors (140783133529888).

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

132203231321312 is a wasteful number, since it uses less digits than its factorization.

132203231321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179828 (or 4179820 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 132203231321312 its reverse (213123132302231), we get a palindrome (345326363623543).

The spelling of 132203231321312 in words is "one hundred thirty-two trillion, two hundred three billion, two hundred thirty-one million, three hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 89 116 178 232 356 383 464 712 766 928 1424 1532 2581 2848 3064 5162 6128 10324 11107 12256 20648 22214 34087 41296 44428 68174 82592 88856 136348 177712 272696 355424 545392 988523 1090784 1977046 3954092 4179317 7908184 8358634 15816368 16717268 31632736 33434536 66869072 121200193 133738144 242400386 371959213 484800772 743918426 969601544 1487836852 1600678411 1939203088 2975673704 3201356822 3878406176 5951347408 6402713644 10786817177 11902694816 12805427288 21573634354 25610854576 43147268708 46419673919 51221709152 86294537416 92839347838 142460378579 172589074832 185678695676 284920757158 345178149664 371357391352 569841514316 742714782704 1139683028632 1485429565408 2279366057264 4131350978791 4558732114528 8262701957582 16525403915164 33050807830328 66101615660656 132203231321312