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131430002213322 = 23259975932151511
BaseRepresentation
bin11101111000100011101110…
…100110000100000111001010
3122020100120210211110102201200
4131320203232212010013022
5114211322121031311242
61143310035352125030
736453334656026301
oct3570435646040712
9566316724412650
10131430002213322
113897217297043a
12128a8021996776
135844a46b4a6b7
14246536322b438
15102dbe161d04c
hex7788ee9841ca

131430002213322 has 96 divisors (see below), whose sum is σ = 293070530712960. Its totient is φ = 42551566479360.

The previous prime is 131430002213299. The next prime is 131430002213353. The reversal of 131430002213322 is 223312200034131.

131430002213322 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 300 + 0 + 2 + 21 + 332 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60011547 + ... + 62163057.

It is an arithmetic number, because the mean of its divisors is an integer number (3052818028260).

Almost surely, 2131430002213322 is an apocalyptic number.

131430002213322 is an abundant number, since it is smaller than the sum of its proper divisors (161640528499638).

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

131430002213322 is a wasteful number, since it uses less digits than its factorization.

131430002213322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152268 (or 2152265 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131430002213322 its reverse (223312200034131), we get a palindrome (354742202247453).

The spelling of 131430002213322 in words is "one hundred thirty-one trillion, four hundred thirty billion, two million, two hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 59 97 118 177 194 291 354 531 582 593 873 1062 1186 1746 1779 3558 5337 5723 10674 11446 17169 34338 34987 51507 57521 69974 103014 104961 115042 172563 209922 314883 345126 517689 629766 1035378 2151511 3393739 4303022 6454533 6787478 10181217 12909066 19363599 20362434 30543651 38727198 61087302 126939149 208696567 253878298 380817447 417393134 626089701 761634894 1142452341 1252179402 1275846023 1878269103 2284904682 2551692046 3756538206 3827538069 7655076138 11482614207 12313097453 22965228414 24626194906 36939292359 73878584718 75274915357 110817877077 123757064231 150549830714 221635754154 225824746071 247514128462 371271192693 451649492142 677474238213 742542385386 1113813578079 1354948476426 2227627156158 7301666789629 14603333579258 21905000368887 43810000737774 65715001106661 131430002213322