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3301315116 = 22311231711033
BaseRepresentation
bin1100010011000110…
…0001001000101100
322112002000011222020
43010301201020230
523230114040431
61303330350140
7144544500261
oct30461411054
98462004866
103301315116
111444562a00
1278172b350
13407c52ac8
1423463d268
15144c62696
hexc4c6122c

3301315116 has 144 divisors (see below), whose sum is σ = 8871819264. Its totient is φ = 953568000.

The previous prime is 3301315093. The next prime is 3301315139. The reversal of 3301315116 is 6115131033.

It is an interprime number because it is at equal distance from previous prime (3301315093) and next prime (3301315139).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195336 + ... + 3196368.

It is an arithmetic number, because the mean of its divisors is an integer number (61609856).

Almost surely, 23301315116 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 3301315116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435909632).

3301315116 is an abundant number, since it is smaller than the sum of its proper divisors (5570504148).

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

3301315116 is a wasteful number, since it uses less digits than its factorization.

3301315116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 3301315116 is about 57457.0719407107. The cubic root of 3301315116 is about 1489.0032996171.

Adding to 3301315116 its reverse (6115131033), we get a palindrome (9416446149).

The spelling of 3301315116 in words is "three billion, three hundred one million, three hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 121 124 132 142 186 213 242 284 341 363 372 426 484 682 726 781 852 1023 1033 1364 1452 1562 2046 2066 2201 2343 3099 3124 3751 4092 4132 4402 4686 6198 6603 7502 8591 8804 9372 11253 11363 12396 13206 15004 17182 22506 22726 24211 25773 26412 32023 34089 34364 45012 45452 48422 51546 64046 68178 72633 73343 96069 96844 103092 124993 128092 136356 145266 146686 192138 220029 249986 266321 290532 293372 352253 374979 384276 440058 499972 532642 704506 749958 798963 806773 880116 1056759 1065284 1409012 1499916 1597926 1613546 2113518 2273633 2420319 3195852 3227092 3874783 4227036 4547266 4840638 6820899 7749566 8874503 9094532 9681276 11624349 13641798 15499132 17749006 23248698 25009963 26623509 27283596 35498012 46497396 50019926 53247018 75029889 100039852 106494036 150059778 275109593 300119556 550219186 825328779 1100438372 1650657558 3301315116