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1321012000332 = 2232374492208799
BaseRepresentation
bin10011001110010010011…
…100110111011001001100
311200021202121010122221200
4103032102130313121030
5133120413033002312
62450510423425500
7164303623506513
oct23162234673114
94607677118850
101321012000332
1146a268921022
121940302b5290
139775635142b
1447d1a02367a
15245689430dc
hex1339273764c

1321012000332 has 72 divisors (see below), whose sum is σ = 3437113680000. Its totient is φ = 427481929728.

The previous prime is 1321012000309. The next prime is 1321012000337. The reversal of 1321012000332 is 2330002101231.

1321012000332 is a `hidden beast` number, since 1 + 3 + 210 + 120 + 0 + 0 + 332 = 666.

It is a super-2 number, since 2×13210120003322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1321012000337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 506332 + ... + 1702467.

It is an arithmetic number, because the mean of its divisors is an integer number (47737690000).

Almost surely, 21321012000332 is an apocalyptic number.

1321012000332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1321012000332 is an abundant number, since it is smaller than the sum of its proper divisors (2116101679668).

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

1321012000332 is a wasteful number, since it uses less digits than its factorization.

1321012000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209295 (or 2209290 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1321012000332 its reverse (2330002101231), we get a palindrome (3651014101563).

The spelling of 1321012000332 in words is "one trillion, three hundred twenty-one billion, twelve million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 449 666 898 1332 1347 1796 2694 4041 5388 8082 16164 16613 33226 49839 66452 99678 149517 199356 299034 598068 2208799 4417598 6626397 8835196 13252794 19879191 26505588 39758382 79516764 81725563 163451126 245176689 326902252 490353378 735530067 980706756 991750751 1471060134 1983501502 2942120268 2975252253 3967003004 5950504506 8925756759 11901009012 17851513518 35703027036 36694777787 73389555574 110084333361 146779111148 220168666722 330253000083 440337333444 660506000166 1321012000332