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3001110110112 = 253318231225319
BaseRepresentation
bin101011101011000000000…
…110100001111110100000
3101121220101112010201020110
4223223000012201332200
5343132233142010422
610214405125011320
7426552210015522
oct53530006417640
911556345121213
103001110110112
11a57844466954
12405775853b40
1318a0078105aa
14a537c507a12
15530ebe2560c
hex2bac01a1fa0

3001110110112 has 96 divisors (see below), whose sum is σ = 8141927915520. Its totient is φ = 966922940160.

The previous prime is 3001110110087. The next prime is 3001110110113. The reversal of 3001110110112 is 2110110111003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (3001110110113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1836589 + ... + 3061907.

It is an arithmetic number, because the mean of its divisors is an integer number (84811749120).

Almost surely, 23001110110112 is an apocalyptic number.

3001110110112 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 3001110110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070963957760).

3001110110112 is an abundant number, since it is smaller than the sum of its proper divisors (5140817805408).

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

3001110110112 is a wasteful number, since it uses less digits than its factorization.

3001110110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226186 (or 1226178 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 3001110110112 its reverse (2110110111003), we get a palindrome (5111220221115).

The spelling of 3001110110112 in words is "three trillion, one billion, one hundred ten million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 823 992 1488 1646 2469 2976 3292 4938 6584 9876 13168 19752 25513 26336 39504 51026 76539 79008 102052 153078 204104 306156 408208 612312 816416 1224624 1225319 2449248 2450638 3675957 4901276 7351914 9802552 14703828 19605104 29407656 37984889 39210208 58815312 75969778 113954667 117630624 151939556 227909334 303879112 455818668 607758224 911637336 1008437537 1215516448 1823274672 2016875074 3025312611 3646549344 4033750148 6050625222 8067500296 12101250444 16135000592 24202500888 31261563647 32270001184 48405001776 62523127294 93784690941 96810003552 125046254588 187569381882 250092509176 375138763764 500185018352 750277527528 1000370036704 1500555055056 3001110110112