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132300141420413 = 37293347142924611
BaseRepresentation
bin11110000101001110000110…
…111011101101111101111101
3122100102202210022220001211002
4132011032012323231331331
5114320101142200423123
61145213502415140045
736603240560166461
oct3605160673557575
9570382708801732
10132300141420413
11391781a185758a
1212a087a1814625
1358a8b08031b75
14249550a8844a1
15104666c36c528
hex785386eedf7d

132300141420413 has 32 divisors (see below), whose sum is σ = 136833713976960. Its totient is φ = 127820723708160.

The previous prime is 132300141420383. The next prime is 132300141420479. The reversal of 132300141420413 is 314024141003231.

It is a cyclic number.

It is not a de Polignac number, because 132300141420413 - 228 = 132299872984957 is a prime.

It is a super-2 number, since 2×1323001414204132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300141410413) 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, 5375638478 + ... + 5375663088.

It is an arithmetic number, because the mean of its divisors is an integer number (4276053561780).

Almost surely, 2132300141420413 is an apocalyptic number.

It is an amenable number.

132300141420413 is a deficient number, since it is larger than the sum of its proper divisors (4533572556547).

132300141420413 is a wasteful number, since it uses less digits than its factorization.

132300141420413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26717.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 132300141420413 its reverse (314024141003231), we get a palindrome (446324282423644).

The spelling of 132300141420413 in words is "one hundred thirty-two trillion, three hundred billion, one hundred forty-one million, four hundred twenty thousand, four hundred thirteen".

Divisors: 1 37 293 347 1429 10841 12839 24611 52873 101671 418697 495863 910607 3761827 7211023 8540017 15491789 18346931 35169119 145287859 266807851 315980629 1301257403 2502224981 5375650783 10304551867 12203684293 92582324297 381268419079 451536318841 3575679497849 132300141420413