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331001210112 = 283617698527
BaseRepresentation
bin1001101000100010011…
…01011010010100000000
31011122101001011200012020
410310101031122110000
520410342302210422
6412020532401440
732625342602166
oct4642115322400
91148331150166
10331001210112
11118416610301
1254197776280
13252a0765911
1412040531236
15892415795c
hex4d1135a500

331001210112 has 72 divisors (see below), whose sum is σ = 882374981376. Its totient is φ = 110154756096.

The previous prime is 331001210081. The next prime is 331001210117. The reversal of 331001210112 is 211012100133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 331001210091 and 331001210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331001210117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124593 + ... + 823119.

Almost surely, 2331001210112 is an apocalyptic number.

331001210112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331001210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441187490688).

331001210112 is an abundant number, since it is smaller than the sum of its proper divisors (551373771264).

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

331001210112 is an equidigital number, since it uses as much as digits as its factorization.

331001210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699163 (or 699149 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 331001210112 its reverse (211012100133), we get a palindrome (542013310245).

The spelling of 331001210112 in words is "three hundred thirty-one billion, one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 617 768 1234 1851 2468 3702 4936 7404 9872 14808 19744 29616 39488 59232 78976 118464 157952 236928 473856 698527 1397054 2095581 2794108 4191162 5588216 8382324 11176432 16764648 22352864 33529296 44705728 67058592 89411456 134117184 178822912 268234368 430991159 536468736 861982318 1292973477 1723964636 2585946954 3447929272 5171893908 6895858544 10343787816 13791717088 20687575632 27583434176 41375151264 55166868352 82750302528 110333736704 165500605056 331001210112