Search a number
-
+
3331331010112 = 26771197531637
BaseRepresentation
bin110000011110100010110…
…011010010111001000000
3102210110202012000112012011
4300132202303102321000
5414040031214310422
611030220424542304
7462452326242310
oct60364263227100
912713665015164
103331331010112
11107489a564666
12459774021994
131b21b26c8541
14b7347157440
155b9c77e5077
hex307a2cd2e40

3331331010112 has 112 divisors (see below), whose sum is σ = 7700295829248. Its totient is φ = 1400456816640.

The previous prime is 3331331010061. The next prime is 3331331010131. The reversal of 3331331010112 is 2110101331333.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33313310101122 (a number of 26 digits) contains 22 as substring.

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, 6000358 + ... + 6531994.

Almost surely, 23331331010112 is an apocalyptic number.

3331331010112 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 3331331010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850147914624).

3331331010112 is an abundant number, since it is smaller than the sum of its proper divisors (4368964819136).

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

3331331010112 is a wasteful number, since it uses less digits than its factorization.

3331331010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531924 (or 531914 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 3331331010112 its reverse (2110101331333), we get a palindrome (5441432341445).

The spelling of 3331331010112 in words is "three trillion, three hundred thirty-one billion, three hundred thirty-one million, ten thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 112 142 197 224 284 394 448 497 568 788 994 1136 1379 1576 1988 2272 2758 3152 3976 4544 5516 6304 7952 11032 12608 13987 15904 22064 27974 31808 44128 55948 88256 97909 111896 195818 223792 391636 447584 531637 783272 895168 1063274 1566544 2126548 3133088 3721459 4253096 6266176 7442918 8506192 14885836 17012384 29771672 34024768 37746227 59543344 75492454 104732489 119086688 150984908 209464978 238173376 264223589 301969816 418929956 528447178 603939632 733127423 837859912 1056894356 1207879264 1466254846 1675719824 2113788712 2415758528 2932509692 3351439648 4227577424 5865019384 6702879296 7436006719 8455154848 11730038768 14872013438 16910309696 23460077536 29744026876 46920155072 52052047033 59488053752 104104094066 118976107504 208208188132 237952215008 416416376264 475904430016 832832752528 1665665505056 3331331010112