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132300133002131 = 191131491572634161
BaseRepresentation
bin11110000101001110000110…
…011011100110101110010011
3122100102202202202001101002212
4132011032012123212232103
5114320101133022032011
61145213501514502335
736603240425505413
oct3605160633465623
9570382682041085
10132300133002131
1139178198027826
1212a0879aa349ab
1358a8b06375233
1424955096d2643
15104666b75808b
hex7853866e6b93

132300133002131 has 32 divisors (see below), whose sum is σ = 142339577832000. Its totient is φ = 122608051937280.

The previous prime is 132300133002101. The next prime is 132300133002179. The reversal of 132300133002131 is 131200331003231.

It is a de Polignac number, because none of the positive numbers 2k-132300133002131 is a prime.

It is a super-2 number, since 2×1323001330021312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132300133002097 and 132300133002106.

It is not an unprimeable number, because it can be changed into a prime (132300133002101) 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, 48907691 + ... + 51541851.

It is an arithmetic number, because the mean of its divisors is an integer number (4448111807250).

Almost surely, 2132300133002131 is an apocalyptic number.

132300133002131 is a deficient number, since it is larger than the sum of its proper divisors (10039444829869).

132300133002131 is a wasteful number, since it uses less digits than its factorization.

132300133002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634599.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 132300133002131 its reverse (131200331003231), we get a palindrome (263500464005362).

The spelling of 132300133002131 in words is "one hundred thirty-two trillion, three hundred billion, one hundred thirty-three million, two thousand, one hundred thirty-one".

Divisors: 1 19 113 149 157 2147 2831 2983 16837 17741 23393 319903 337079 444467 2634161 2643409 50049059 50224771 297660193 392489989 413563277 5655543667 7457309791 7857702263 44351368757 46732650301 61620928273 842676006383 887920355719 1170797637187 6963164894849 132300133002131