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13101431022 = 235197136841
BaseRepresentation
bin11000011001110011…
…11111100011101110
31020211001122122200000
430030321333203232
5203312431243042
610004013045130
7642444216621
oct141471774356
936731578600
1013101431022
115613464049
1226577867a6
13130a3c6964
148c400ddb8
1551a2da74c
hex30ce7f8ee

13101431022 has 48 divisors (see below), whose sum is σ = 29587429872. Its totient is φ = 4344943680.

The previous prime is 13101430999. The next prime is 13101431023. The reversal of 13101431022 is 22013410131.

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 = 13101430986 and 13101431004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101431023) 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, 27322 + ... + 164162.

It is an arithmetic number, because the mean of its divisors is an integer number (616404789).

Almost surely, 213101431022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13101431022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14793714936).

13101431022 is an abundant number, since it is smaller than the sum of its proper divisors (16485998850).

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

13101431022 is a wasteful number, since it uses less digits than its factorization.

13101431022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137055 (or 137043 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13101431022 its reverse (22013410131), we get a palindrome (35114841153).

The spelling of 13101431022 in words is "thirteen billion, one hundred one million, four hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 243 394 486 591 1182 1773 3546 5319 10638 15957 31914 47871 95742 136841 273682 410523 821046 1231569 2463138 3694707 7389414 11084121 22168242 26957677 33252363 53915354 66504726 80873031 161746062 242619093 485238186 727857279 1455714558 2183571837 4367143674 6550715511 13101431022