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132344013103410 = 23547116159808039
BaseRepresentation
bin11110000101110110111101…
…111000111010000100110010
3122100120222000211012110221010
4132011312331320322010302
5114321311014323302120
61145250000021411350
736606353006303013
oct3605667570720462
9570528024173833
10132344013103410
1139194865217339
1212a151a6269b56
1358accaa2593c4
1424976ad32300a
151047888bce7e0
hex785dbde3a132

132344013103410 has 64 divisors (see below), whose sum is σ = 324386817638400. Its totient is φ = 34540508705472.

The previous prime is 132344013103399. The next prime is 132344013103411. The reversal of 132344013103410 is 14301310443231.

132344013103410 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (132344013103411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163380171 + ... + 164188209.

It is an arithmetic number, because the mean of its divisors is an integer number (5068544025600).

Almost surely, 2132344013103410 is an apocalyptic number.

132344013103410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132344013103410 is an abundant number, since it is smaller than the sum of its proper divisors (192042804534990).

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

132344013103410 is a wasteful number, since it uses less digits than its factorization.

132344013103410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924255.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132344013103410 its reverse (14301310443231), we get a palindrome (146645323546641).

The spelling of 132344013103410 in words is "one hundred thirty-two trillion, three hundred forty-four billion, thirteen million, one hundred three thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 116159 232318 348477 580795 696954 808039 1161590 1616078 1742385 2424117 3484770 4040195 4848234 5459473 8080390 10918946 12120585 16378419 24241170 27297365 32756838 37977833 54594730 75955666 81892095 113933499 163784190 189889165 227866998 379778330 569667495 1139334990 93861002201 187722004402 281583006603 469305011005 563166013206 938610022010 1407915033015 2815830066030 4411467103447 8822934206894 13234401310341 22057335517235 26468802620682 44114671034470 66172006551705 132344013103410