Search a number
-
+
330031120102112 = 25111389810361633
BaseRepresentation
bin100101100001010010101101…
…1101011011011001011100000
31121021112200000012121022221202
41023002211123223123023200
5321224212213221231422
63125530111543140332
7126341650550524052
oct11302453353331340
91537480005538852
10330031120102112
1196181459449930
12310222aa4446a8
131121ca54ca7870
145b6d83ccbd8d2
152824d00768b92
hex12c295badb2e0

330031120102112 has 96 divisors (see below), whose sum is σ = 771918078083040. Its totient is φ = 136918701342720.

The previous prime is 330031120102097. The next prime is 330031120102127. The reversal of 330031120102112 is 211201021130033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330031120102097) and next prime (330031120102127).

It is a super-2 number, since 2×3300311201021122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404773553 + ... + 405588080.

It is an arithmetic number, because the mean of its divisors is an integer number (8040813313365).

Almost surely, 2330031120102112 is an apocalyptic number.

330031120102112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330031120102112 is an abundant number, since it is smaller than the sum of its proper divisors (441886957980928).

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

330031120102112 is a wasteful number, since it uses less digits than its factorization.

330031120102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810361756 (or 810361748 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 330031120102112 its reverse (211201021130033), we get a palindrome (541232141232145).

The spelling of 330031120102112 in words is "three hundred thirty trillion, thirty-one billion, one hundred twenty million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 89 104 143 176 178 208 286 352 356 416 572 712 979 1144 1157 1424 1958 2288 2314 2848 3916 4576 4628 7832 9256 12727 15664 18512 25454 31328 37024 50908 101816 203632 407264 810361633 1620723266 3241446532 6482893064 8913977963 10534701229 12965786128 17827955926 21069402458 25931572256 35655911852 42138804916 71311823704 72122185337 84277609832 115881713519 142623647408 144244370674 168555219664 231763427038 285247294816 288488741348 337110439328 463526854076 576977482696 793344038707 927053708152 937588409381 1153954965392 1586688077414 1854107416304 1875176818762 2307909930784 3173376154828 3708214832608 3750353637524 6346752309656 7500707275048 10313472503191 12693504619312 15001414550096 20626945006382 25387009238624 30002829100192 41253890012764 82507780025528 165015560051056 330031120102112