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130120331031 = 3223679382099
BaseRepresentation
bin111100100101111000…
…1101010111100010111
3110102212022100200202200
41321023301222330113
54112441301043111
6135435414135543
712254334364455
oct1711361527427
9412768320680
10130120331031
1150202597669
12212750515b3
13c368ab6322
14642546d9d5
1535b86d2256
hex1e4bc6af17

130120331031 has 24 divisors (see below), whose sum is σ = 199050633600. Its totient is φ = 81736837776.

The previous prime is 130120331027. The next prime is 130120331141. The reversal of 130120331031 is 130133021031.

It is a happy number.

130120331031 is a `hidden beast` number, since 1 + 301 + 2 + 0 + 331 + 0 + 31 = 666.

It is not a de Polignac number, because 130120331031 - 22 = 130120331027 is a prime.

It is a super-3 number, since 3×1301203310313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 130120330995 and 130120331013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130120331021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4677181 + ... + 4704918.

It is an arithmetic number, because the mean of its divisors is an integer number (8293776400).

Almost surely, 2130120331031 is an apocalyptic number.

130120331031 is a deficient number, since it is larger than the sum of its proper divisors (68930302569).

130120331031 is a wasteful number, since it uses less digits than its factorization.

130120331031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382195 (or 9382192 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130120331031 its reverse (130133021031), we get a palindrome (260253352062).

The spelling of 130120331031 in words is "one hundred thirty billion, one hundred twenty million, three hundred thirty-one thousand, thirty-one".

Divisors: 1 3 9 23 67 69 201 207 603 1541 4623 13869 9382099 28146297 84438891 215788277 628600633 647364831 1885801899 1942094493 5657405697 14457814559 43373443677 130120331031