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3332110001130 = 23251011492460193
BaseRepresentation
bin110000011111010001001…
…110111010001111101010
3102210112202110211100222100
4300133101032322033222
5414043130130014010
611030430013234230
7462510535455201
oct60372116721752
912715673740870
103332110001130
11107515a256099
12459950a92976
131b22a7c03981
14b73bc7b4238
155ba20dbc2c0
hex307d13ba3ea

3332110001130 has 96 divisors (see below), whose sum is σ = 8807986558800. Its totient is φ = 873860198400.

The previous prime is 3332110001071. The next prime is 3332110001149. The reversal of 3332110001130 is 311000112333.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 631533785481 + 2700576215649 = 794691^2 + 1643343^2 .

It is a super-2 number, since 2×33321100011302 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124314 + ... + 2584506.

Almost surely, 23332110001130 is an apocalyptic number.

3332110001130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3332110001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403993279400).

3332110001130 is an abundant number, since it is smaller than the sum of its proper divisors (5475876557670).

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

3332110001130 is a wasteful number, since it uses less digits than its factorization.

3332110001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2460456 (or 2460453 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 3332110001130 its reverse (311000112333), we get a palindrome (3643110113463).

The spelling of 3332110001130 in words is "three trillion, three hundred thirty-two billion, one hundred ten million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 149 202 298 303 447 505 606 745 894 909 1010 1341 1490 1515 1818 2235 2682 3030 4470 4545 6705 9090 13410 15049 30098 45147 75245 90294 135441 150490 225735 270882 451470 677205 1354410 2460193 4920386 7380579 12300965 14761158 22141737 24601930 36902895 44283474 73805790 110708685 221417370 248479493 366568757 496958986 733137514 745438479 1099706271 1242397465 1490876958 1832843785 2199412542 2236315437 2484794930 3299118813 3665687570 3727192395 4472630874 5498531355 6598237626 7454384790 10997062710 11181577185 16495594065 22363154370 32991188130 37023444457 74046888914 111070333371 185117222285 222140666742 333211000113 370234444570 555351666855 666422000226 1110703333710 1666055000565 3332110001130