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332222121212130 = 23257368161741869
BaseRepresentation
bin100101110001001110111110…
…1100001010111100011100010
31121120022010100211201220001200
41023202131331201113203202
5322021111401012242010
63134324422512542030
7126656153603630232
oct11342357541274342
91546263324656050
10332222121212130
1196946679458656
1231316a58251916
131134b5473a9116
145c078ca647cc2
152861cd6b5ccc0
hex12e277d8578e2

332222121212130 has 96 divisors (see below), whose sum is σ = 875624110349040. Its totient is φ = 87377569136640.

The previous prime is 332222121212087. The next prime is 332222121212131. The reversal of 332222121212130 is 31212121222233.

332222121212130 is a `hidden beast` number, since 3 + 3 + 222 + 212 + 1 + 212 + 13 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 203573512590561 + 128648608621569 = 14267919^2 + 11342337^2 .

It is a super-2 number, since 2×3322221212121302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332222121212094 and 332222121212103.

It is not an unprimeable number, because it can be changed into a prime (332222121212131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 447446836 + ... + 448188704.

Almost surely, 2332222121212130 is an apocalyptic number.

332222121212130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332222121212130 is an abundant number, since it is smaller than the sum of its proper divisors (543401989136910).

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

332222121212130 is a wasteful number, since it uses less digits than its factorization.

332222121212130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810116 (or 810113 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 332222121212130 its reverse (31212121222233), we get a palindrome (363434242434363).

The spelling of 332222121212130 in words is "three hundred thirty-two trillion, two hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2190 3285 6570 68161 136322 204483 340805 408966 613449 681610 741869 1022415 1226898 1483738 2044830 2225607 3067245 3709345 4451214 4975753 6134490 6676821 7418690 9951506 11128035 13353642 14927259 22256070 24878765 29854518 33384105 44781777 49757530 54156437 66768210 74636295 89563554 108312874 149272590 162469311 223908885 270782185 324938622 447817770 487407933 541564370 812346555 974815866 1624693110 2437039665 4874079330 50566532909 101133065818 151699598727 252832664545 303399197454 455098796181 505665329090 758497993635 910197592362 1516995987270 2275493980905 3691356902357 4550987961810 7382713804714 11074070707071 18456784511785 22148141414142 33222212121213 36913569023570 55370353535355 66444424242426 110740707070710 166111060606065 332222121212130