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330230100012 = 223295333753129
BaseRepresentation
bin1001100111000110011…
…11110111000000101100
31011120101022012012222220
410303203033313000230
520402302401200022
6411412225035340
732600260351611
oct4634317670054
91146338165886
10330230100012
1111806031192a
1254001485b50
13251a9a89657
1411da9d66508
1588cb5da85c
hex4ce33f702c

330230100012 has 96 divisors (see below), whose sum is σ = 814572158400. Its totient is φ = 103964270592.

The previous prime is 330230099989. The next prime is 330230100029. The reversal of 330230100012 is 210001032033.

It is a junction number, because it is equal to n+sod(n) for n = 330230099964 and 330230100000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6189064 + ... + 6242192.

It is an arithmetic number, because the mean of its divisors is an integer number (8485126650).

Almost surely, 2330230100012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330230100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407286079200).

330230100012 is an abundant number, since it is smaller than the sum of its proper divisors (484342058388).

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

330230100012 is a wasteful number, since it uses less digits than its factorization.

330230100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53555 (or 53553 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 330230100012 its reverse (210001032033), we get a palindrome (540231132045).

The spelling of 330230100012 in words is "three hundred thirty billion, two hundred thirty million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 337 348 636 674 1011 1348 1537 2022 3074 4044 4611 6148 9222 9773 17861 18444 19546 29319 35722 39092 53129 53583 58638 71444 106258 107166 117276 159387 212516 214332 318774 517969 637548 1035938 1540741 1553907 2071876 2815837 3081482 3107814 4622223 5631674 6162964 6215628 8447511 9244446 11263348 16895022 17904473 18488892 33790044 35808946 53713419 71617892 81659273 107426838 163318546 214853676 244977819 326637092 489955638 519229717 948937069 979911276 1038459434 1557689151 1897874138 2076918868 2846811207 3115378302 3795748276 5693622414 6230756604 11387244828 27519175001 55038350002 82557525003 110076700004 165115050006 330230100012