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330230102112 = 25325695873433
BaseRepresentation
bin1001100111000110011…
…11110111100001100000
31011120101022012022212200
410303203033313201200
520402302401231422
6411412225053200
732600260361001
oct4634317674140
91146338168780
10330230102112
11118060313469
1254001487200
13251a9a8a5b1
1411da9d671a8
1588cb5db2ac
hex4ce33f7860

330230102112 has 144 divisors (see below), whose sum is σ = 942619401360. Its totient is φ = 109664096256.

The previous prime is 330230102099. The next prime is 330230102113. The reversal of 330230102112 is 211201032033.

330230102112 is a `hidden beast` number, since 330 + 2 + 301 + 0 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330230102113) 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, 96191148 + ... + 96194580.

It is an arithmetic number, because the mean of its divisors is an integer number (6545968065).

Almost surely, 2330230102112 is an apocalyptic number.

330230102112 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 330230102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471309700680).

330230102112 is an abundant number, since it is smaller than the sum of its proper divisors (612389299248).

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

330230102112 is a wasteful number, since it uses less digits than its factorization.

330230102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4594 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330230102112 its reverse (211201032033), we get a palindrome (541431134145).

The spelling of 330230102112 in words is "three hundred thirty billion, two hundred thirty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 569 587 1138 1174 1707 1761 2276 2348 3414 3433 3522 4552 4696 5121 5283 6828 6866 7044 9104 9392 10242 10299 10566 13656 13732 14088 18208 18784 20484 20598 21132 27312 27464 28176 30897 40968 41196 42264 54624 54928 56352 61794 81936 82392 84528 109856 123588 163872 164784 169056 247176 329568 334003 494352 668006 988704 1002009 1336012 1953377 2004018 2015171 2672024 3006027 3906754 4008036 4030342 5344048 5860131 6012054 6045513 7813508 8016072 8060684 10688096 11720262 12024108 12091026 15627016 16032144 16121368 17580393 18136539 23440524 24048216 24182052 31254032 32064288 32242736 35160786 36273078 46881048 48096432 48364104 62508064 64485472 70321572 72546156 93762096 96192864 96728208 140643144 145092312 187524192 193456416 281286288 290184624 562572576 580369248 1146632299 2293264598 3439896897 4586529196 6879793794 9173058392 10319690691 13759587588 18346116784 20639381382 27519175176 36692233568 41278762764 55038350352 82557525528 110076700704 165115051056 330230102112