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2302421331312 = 2432373234118311
BaseRepresentation
bin100001100000010011000…
…000010110110101110000
322011002221200221020211200
4201200103000112311300
5300210324330100222
64521415011411200
7325226101256364
oct41402300266560
98132850836750
102302421331312
118084a68aa143
123122842b3b00
1313916ac09cab
147d61b4052a4
153ed58027eac
hex21813016d70

2302421331312 has 120 divisors (see below), whose sum is σ = 6463969800288. Its totient is φ = 765047462400.

The previous prime is 2302421331271. The next prime is 2302421331359. The reversal of 2302421331312 is 2131331242032.

2302421331312 is a `hidden beast` number, since 2 + 302 + 4 + 2 + 13 + 31 + 312 = 666.

It is a super-2 number, since 2×23024213313122 (a number of 26 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 23 ways as a sum of consecutive naturals, for example, 125730637 + ... + 125748947.

Almost surely, 22302421331312 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 2302421331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3231984900144).

2302421331312 is an abundant number, since it is smaller than the sum of its proper divisors (4161548468976).

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

2302421331312 is a wasteful number, since it uses less digits than its factorization.

2302421331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21039 (or 21030 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2302421331312 its reverse (2131331242032), we get a palindrome (4433752573344).

The spelling of 2302421331312 in words is "two trillion, three hundred two billion, four hundred twenty-one million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 373 746 1119 1492 2238 2341 2984 3357 4476 4682 5968 6714 7023 8952 9364 13428 14046 17904 18311 18728 21069 26856 28092 36622 37456 42138 53712 54933 56184 73244 84276 109866 112368 146488 164799 168552 219732 292976 329598 337104 439464 659196 873193 878928 1318392 1746386 2619579 2636784 3492772 5239158 6830003 6985544 7858737 10478316 13660006 13971088 15717474 20490009 20956632 27320012 31434948 40980018 41913264 42866051 54640024 61470027 62869896 81960036 85732102 109280048 122940054 125739792 128598153 163920072 171464204 245880108 257196306 327840144 342928408 385794459 491760216 514392612 685856816 771588918 983520432 1028785224 1543177836 2057570448 3086355672 6172711344 15989037023 31978074046 47967111069 63956148092 95934222138 127912296184 143901333207 191868444276 255824592368 287802666414 383736888552 575605332828 767473777104 1151210665656 2302421331312