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132123322312230 = 23543213031828003
BaseRepresentation
bin11110000010101001011011…
…101100010110011000100110
3122022210212101111112200211110
4132002221123230112120212
5114304202031002442410
61145000341044045450
736554411044443444
oct3602513354263046
9568725344480743
10132123322312230
113910a205aa7517
121299a475393886
1358952393c8932
14248ab352dbb94
151041c6e03a720
hex782a5bb16626

132123322312230 has 96 divisors (see below), whose sum is σ = 324891121671936. Its totient is φ = 34387086710592.

The previous prime is 132123322312217. The next prime is 132123322312259. The reversal of 132123322312230 is 32213223321231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 71363409 + ... + 73191411.

It is an arithmetic number, because the mean of its divisors is an integer number (3384282517416).

Almost surely, 2132123322312230 is an apocalyptic number.

132123322312230 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 132123322312230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162445560835968).

132123322312230 is an abundant number, since it is smaller than the sum of its proper divisors (192767799359706).

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

132123322312230 is a wasteful number, since it uses less digits than its factorization.

132123322312230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829402 (or 1829359 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 132123322312230 its reverse (32213223321231), we get a palindrome (164336545633461).

The spelling of 132123322312230 in words is "one hundred thirty-two trillion, one hundred twenty-three billion, three hundred twenty-two million, three hundred twelve thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 1290 1303 1849 2606 3698 3909 5547 6515 7818 9245 11094 13030 18490 19545 27735 39090 55470 56029 112058 168087 280145 336174 560290 840435 1680870 1828003 2409247 3656006 4818494 5484009 7227741 9140015 10968018 12046235 14455482 18280030 24092470 27420045 36138705 54840090 72277410 78604129 157208258 235812387 393020645 471624774 786041290 1179061935 2358123870 2381887909 3379977547 4763775818 6759955094 7145663727 10139932641 11909439545 14291327454 16899887735 20279865282 23818879090 33799775470 35728318635 50699663205 71456637270 101399326410 102421180087 204842360174 307263540261 512105900435 614527080522 1024211800870 1536317701305 3072635402610 4404110743741 8808221487482 13212332231223 22020553718705 26424664462446 44041107437410 66061661156115 132123322312230