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132113222311230 = 232597129711667883
BaseRepresentation
bin11110000010100000000001…
…101011111001110100111110
3122022202220022121121111010100
4132002200001223321310332
5114304020334402424410
61144551550530021530
736553602544033416
oct3602400153716476
9568686277544110
10132113222311230
11391059a28a0256
1212998516a178a6
1358942b9a97394
14248a457b87646
15104187c4c78c0
hex782801af9d3e

132113222311230 has 96 divisors (see below), whose sum is σ = 347303154822624. Its totient is φ = 34840108965888.

The previous prime is 132113222311229. The next prime is 132113222311237. The reversal of 132113222311230 is 32113222311231.

132113222311230 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 1 + 322 + 2 + 311 + 23 + 0 = 666.

It is a super-2 number, since 2×1321132223112302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132113222311194 and 132113222311203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132113222311237) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5488869 + ... + 17156751.

It is an arithmetic number, because the mean of its divisors is an integer number (3617741196069).

Almost surely, 2132113222311230 is an apocalyptic number.

132113222311230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132113222311230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173651577411312).

132113222311230 is an abundant number, since it is smaller than the sum of its proper divisors (215189932511394).

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

132113222311230 is a wasteful number, since it uses less digits than its factorization.

132113222311230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11669290 (or 11669287 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132113222311230 its reverse (32113222311231), we get a palindrome (164226444622461).

Subtracting from 132113222311230 its reverse (32113222311231), we obtain a palindrome (99999999999999).

The spelling of 132113222311230 in words is "one hundred thirty-two trillion, one hundred thirteen billion, two hundred twenty-two million, three hundred eleven thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1297 1455 1746 2594 2910 3891 4365 6485 7782 8730 11673 12970 19455 23346 38910 58365 116730 125809 251618 377427 629045 754854 1132281 1258090 1887135 2264562 3774270 5661405 11322810 11667883 23335766 35003649 58339415 70007298 105010947 116678830 175018245 210021894 350036490 525054735 1050109470 1131784651 2263569302 3395353953 5658923255 6790707906 10186061859 11317846510 15133244251 16976769765 20372123718 30266488502 33953539530 45399732753 50930309295 75666221255 90799465506 101860618590 136199198259 151332442510 226998663765 272398396518 453997327530 680995991295 1361991982590 1467924692347 2935849384694 4403774077041 7339623461735 8807548154082 13211322231123 14679246923470 22018870385205 26422644462246 44037740770410 66056611155615 132113222311230