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210130112322 = 232138910089797
BaseRepresentation
bin1100001110110010111…
…0110000111101000010
3202002101022212201011200
43003230232300331002
511420321302043242
6240311001322030
721116135325114
oct3035456607502
9662338781150
10210130112322
118112aa74559
1234884196316
1316a79c64290
14a2556333b4
1556ec98404c
hex30ecbb0f42

210130112322 has 48 divisors (see below), whose sum is σ = 495812673720. Its totient is φ = 63928947456.

The previous prime is 210130112321. The next prime is 210130112327. The reversal of 210130112322 is 223211031012.

210130112322 is a `hidden beast` number, since 210 + 130 + 1 + 1 + 2 + 322 = 666.

210130112322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 145177002441 + 64953109881 = 381021^2 + 254859^2 .

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 = 210130112295 and 210130112304.

It is not an unprimeable number, because it can be changed into a prime (210130112321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5024073 + ... + 5065724.

Almost surely, 2210130112322 is an apocalyptic number.

210130112322 is an abundant number, since it is smaller than the sum of its proper divisors (285682561398).

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

210130112322 is a wasteful number, since it uses less digits than its factorization.

210130112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089907 (or 10089904 counting only the distinct ones).

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

Adding to 210130112322 its reverse (223211031012), we get a palindrome (433341143334).

The spelling of 210130112322 in words is "two hundred ten billion, one hundred thirty million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 2314 3471 6942 10413 20826 10089797 20179594 30269391 60538782 90808173 131167361 181616346 262334722 393502083 787004166 897991933 1180506249 1795983866 2361012498 2693975799 5387951598 8081927397 11673895129 16163854794 23347790258 35021685387 70043370774 105065056161 210130112322