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210331404133012 = 221795310037323369
BaseRepresentation
bin101111110100101110011000…
…101000001110001010010100
31000120201111010012012120220101
4233310232120220032022110
5210032032203424224022
62023200525123143444
762205641161431541
oct5764563050161224
91016644105176811
10210331404133012
11610220583395a8
121b70b775814b84
1390492214a5b16
1439d21469a9bc8
15194b3086c9627
hexbf4b98a0e294

210331404133012 has 48 divisors (see below), whose sum is σ = 390180748764240. Its totient is φ = 98865466499072.

The previous prime is 210331404132991. The next prime is 210331404133061.

210331404133012 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 15285488231556 + 195045915901456 = 3909666^2 + 13965884^2 .

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 650276064 + ... + 650599432.

It is an arithmetic number, because the mean of its divisors is an integer number (8128765599255).

Almost surely, 2210331404133012 is an apocalyptic number.

It is an amenable number.

210331404133012 is a deficient number, since it is larger than the sum of its proper divisors (179849344631228).

210331404133012 is a wasteful number, since it uses less digits than its factorization.

210331404133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334380 (or 334378 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 21033140 and 4133012, that added together give a palindrome (25166152).

The spelling of 210331404133012 in words is "two hundred ten trillion, three hundred thirty-one billion, four hundred four million, one hundred thirty-three thousand, twelve".

Divisors: 1 2 4 17 34 68 953 1906 3812 10037 16201 20074 32402 40148 64804 170629 323369 341258 646738 682516 1293476 5497273 9565261 10994546 19130522 21989092 38261044 162609437 308170657 325218874 616341314 650437748 1232682628 3245654653 5238901169 6491309306 10477802338 12982618612 20955604676 55176129101 110352258202 220704516404 3093108884309 6186217768618 12372435537236 52582851033253 105165702066506 210331404133012