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130483432953 = 3337241541967
BaseRepresentation
bin111100110000101101…
…0110010110111111001
3110110210121121011222000
41321201122302313321
54114212224323303
6135535424451213
712266333610606
oct1714132626771
9413717534860
10130483432953
11503795504a5
1221356779b09
13c3c60a8c33
14645b78b6ad
1535da507da3
hex1e616b2df9

130483432953 has 32 divisors (see below), whose sum is σ = 199357509120. Its totient is φ = 84286552320.

The previous prime is 130483432939. The next prime is 130483432973. The reversal of 130483432953 is 359234384031.

130483432953 is a `hidden beast` number, since 13 + 0 + 4 + 8 + 343 + 295 + 3 = 666.

It is not a de Polignac number, because 130483432953 - 213 = 130483424761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 130483432899 and 130483432908.

It is not an unprimeable number, because it can be changed into a prime (130483432973) 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, 30225 + ... + 511742.

It is an arithmetic number, because the mean of its divisors is an integer number (6229922160).

Almost surely, 2130483432953 is an apocalyptic number.

It is an amenable number.

130483432953 is a deficient number, since it is larger than the sum of its proper divisors (68874076167).

130483432953 is a wasteful number, since it uses less digits than its factorization.

130483432953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542254 (or 542248 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 130483432953 in words is "one hundred thirty billion, four hundred eighty-three million, four hundred thirty-two thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 37 111 241 333 723 999 2169 6507 8917 26751 80253 240759 541967 1625901 4877703 14633109 20052779 60158337 130614047 180475011 391842141 541425033 1175526423 3526579269 4832719739 14498159217 43494477651 130483432953