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210332133013122 = 2341419791452173
BaseRepresentation
bin101111110100101111000100…
…000100101011011010000010
31000120201112222222201112110000
4233310233010010223122002
5210032040202022404442
62023201125321420430
762205665222005461
oct5764570404533202
91016645888645400
10210332133013122
11610223a1813a5a
121b70b93993a716
1390493094b7523
1439d21b57009d8
15194b34c6a3d4c
hexbf4bc412b682

210332133013122 has 40 divisors (see below), whose sum is σ = 471332981822076. Its totient is φ = 70105771820448.

The previous prime is 210332133013117. The next prime is 210332133013127. The reversal of 210332133013122 is 221310331233012.

210332133013122 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 32 + 13 + 301 + 312 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (210332133013117) and next prime (210332133013127).

It can be written as a sum of positive squares in 2 ways, for example, as 174582866906361 + 35749266106761 = 13212981^2 + 5979069^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (210332133013127) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 43426173 + ... + 48026000.

Almost surely, 2210332133013122 is an apocalyptic number.

210332133013122 is an abundant number, since it is smaller than the sum of its proper divisors (261000848808954).

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

210332133013122 is a wasteful number, since it uses less digits than its factorization.

210332133013122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91466384 (or 91466375 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 210332133013122 its reverse (221310331233012), we get a palindrome (431642464246134).

The spelling of 210332133013122 in words is "two hundred ten trillion, three hundred thirty-two billion, one hundred thirty-three million, thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 14197 28394 42591 85182 127773 255546 383319 766638 1149957 2299914 91452173 182904346 274356519 548713038 823069557 1646139114 2469208671 4938417342 7407626013 14815252026 1298346500081 2596693000162 3895039500243 7790079000486 11685118500729 23370237001458 35055355502187 70110711004374 105166066506561 210332133013122