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3301012002232 = 2377114919129173
BaseRepresentation
bin110000000010010011101…
…001011101010110111000
3102200120111012110100021101
4300002103221131112320
5413040433033032412
611004244115221144
7460330104026320
oct60022351352670
912616435410241
103301012002232
111062a5124425a
124539122a77b4
131ac39020b9a9
14b5aac5cc280
155ad00ba5457
hex30093a5d5b8

3301012002232 has 128 divisors (see below), whose sum is σ = 7259424768000. Its totient is φ = 1378131955200.

The previous prime is 3301012002221. The next prime is 3301012002259. The reversal of 3301012002232 is 2322002101033.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113138398 + ... + 113167570.

It is an arithmetic number, because the mean of its divisors is an integer number (56714256000).

Almost surely, 23301012002232 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 3301012002232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3629712384000).

3301012002232 is an abundant number, since it is smaller than the sum of its proper divisors (3958412765768).

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

3301012002232 is a wasteful number, since it uses less digits than its factorization.

3301012002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29597 (or 29593 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 3301012002232 its reverse (2322002101033), we get a palindrome (5623014103265).

The spelling of 3301012002232 in words is "three trillion, three hundred one billion, twelve million, two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 56 71 142 149 191 284 298 382 497 568 596 764 994 1043 1192 1337 1528 1988 2086 2674 3976 4172 5348 8344 10579 10696 13561 21158 27122 28459 29173 42316 54244 56918 58346 74053 84632 94927 108488 113836 116692 148106 189854 199213 204211 227672 233384 296212 379708 398426 408422 592424 759416 796852 816844 1593704 1633688 2020589 2071283 4041178 4142566 4346777 5572043 8082356 8285132 8693554 11144086 14144123 14498981 16164712 16570264 17387108 22288172 28288246 28997962 30427439 34774216 39004301 44576344 56576492 57995924 60854878 78008602 113152984 115991848 121709756 156017204 243419512 308621167 312034408 395615053 617242334 791230106 830234407 1234484668 1582460212 1660468814 2160348169 2468969336 2769305371 3164920424 3320937628 4320696338 5538610742 5811640849 6641875256 8641392676 11077221484 11623281698 17282785352 22154442968 23246563396 46493126792 58946642897 117893285794 235786571588 412626500279 471573143176 825253000558 1650506001116 3301012002232