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13130310222 = 2332937922123
BaseRepresentation
bin11000011101010000…
…01010001001001110
31020220001222212111000
430032220022021032
5203342324411342
610010524041130
7643244536551
oct141650121116
936801885430
1013130310222
115628799457
1226653931a6
131313398743
148c7baa698
1551cae244c
hex30ea0a24e

13130310222 has 64 divisors (see below), whose sum is σ = 30265632000. Its totient is φ = 4214506464.

The previous prime is 13130310211. The next prime is 13130310257. The reversal of 13130310222 is 22201303131.

13130310222 is a `hidden beast` number, since 1 + 3 + 130 + 310 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13130310195 and 13130310204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582453 + ... + 604575.

It is an arithmetic number, because the mean of its divisors is an integer number (472900500).

Almost surely, 213130310222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130310222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15132816000).

13130310222 is an abundant number, since it is smaller than the sum of its proper divisors (17135321778).

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

13130310222 is a wasteful number, since it uses less digits than its factorization.

13130310222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22542 (or 22536 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13130310222 its reverse (22201303131), we get a palindrome (35331613353).

The spelling of 13130310222 in words is "thirteen billion, one hundred thirty million, three hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 379 522 758 783 1137 1566 2274 3411 6822 10233 10991 20466 21982 22123 32973 44246 65946 66369 98919 132738 197838 199107 296757 398214 593514 597321 641567 1194642 1283134 1924701 3849402 5774103 8384617 11548206 16769234 17322309 25153851 34644618 50307702 75461553 150923106 226384659 243153893 452769318 486307786 729461679 1458923358 2188385037 4376770074 6565155111 13130310222