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132402221013450 = 235229263115731149
BaseRepresentation
bin11110000110101101001011…
…010110011101100111001010
3122100210112021102122200102010
4132012231023112131213022
5114323234222034412300
61145332423551120350
736613513315336443
oct3606551326354712
9570715242580363
10132402221013450
1139207515052713
1212a2452bb130b6
1358b5625635a1b
14249a431b9c2ca
151049143e3ca50
hex786b4b59d9ca

132402221013450 has 96 divisors (see below), whose sum is σ = 340971743376000. Its totient is φ = 33960148069120.

The previous prime is 132402221013427. The next prime is 132402221013481. The reversal of 132402221013450 is 54310122204231.

It is a happy number.

132402221013450 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56721525 + ... + 59009624.

It is an arithmetic number, because the mean of its divisors is an integer number (3551788993500).

Almost surely, 2132402221013450 is an apocalyptic number.

132402221013450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132402221013450 is an abundant number, since it is smaller than the sum of its proper divisors (208569522362550).

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

132402221013450 is a wasteful number, since it uses less digits than its factorization.

132402221013450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115731456 (or 115731451 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 132402221013450 its reverse (54310122204231), we get a palindrome (186712343217681).

The spelling of 132402221013450 in words is "one hundred thirty-two trillion, four hundred two billion, two hundred twenty-one million, thirteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 263 290 435 526 725 789 870 1315 1450 1578 2175 2630 3945 4350 6575 7627 7890 13150 15254 19725 22881 38135 39450 45762 76270 114405 190675 228810 381350 572025 1144050 115731149 231462298 347193447 578655745 694386894 1157311490 1735967235 2893278725 3356203321 3471934470 5786557450 6712406642 8679836175 10068609963 16781016605 17359672350 20137219926 30437292187 33562033210 50343049815 60874584374 83905083025 91311876561 100686099630 152186460935 167810166050 182623753122 251715249075 304372921870 456559382805 503430498150 760932304675 882681473423 913118765610 1521864609350 1765362946846 2282796914025 2648044420269 4413407367115 4565593828050 5296088840538 8826814734230 13240222101345 22067036835575 26480444202690 44134073671150 66201110506725 132402221013450