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3102002220312 = 2332313559390499
BaseRepresentation
bin101101001000111101101…
…111011000110100011000
3101222112210212102221121200
4231020331233120310120
5401310400032022222
610333012401034200
7440053335552432
oct55107557306430
911875725387550
103102002220312
11a96608425606
12421232325960
131966960b3498
14aa1cdc2d652
1555a5462deac
hex2d23dbd8d18

3102002220312 has 96 divisors (see below), whose sum is σ = 8674723200000. Its totient is φ = 1000362156480.

The previous prime is 3102002220293. The next prime is 3102002220337. The reversal of 3102002220312 is 2130222002013.

3102002220312 is a `hidden beast` number, since 310 + 2 + 0 + 0 + 22 + 20 + 312 = 666.

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

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, 7748439 + ... + 8138937.

It is an arithmetic number, because the mean of its divisors is an integer number (90361700000).

Almost surely, 23102002220312 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 3102002220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337361600000).

3102002220312 is an abundant number, since it is smaller than the sum of its proper divisors (5572720979688).

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

3102002220312 is a wasteful number, since it uses less digits than its factorization.

3102002220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394101 (or 394094 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3102002220312 its reverse (2130222002013), we get a palindrome (5232224222325).

The spelling of 3102002220312 in words is "three trillion, one hundred two billion, two million, two hundred twenty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 3559 7118 10677 14236 21354 28472 32031 42708 64062 85416 110329 128124 220658 256248 330987 390499 441316 661974 780998 882632 992961 1171497 1323948 1561996 1985922 2342994 2647896 3123992 3514491 3971844 4685988 7028982 7943688 9371976 12105469 14057964 24210938 28115928 36316407 48421876 72632814 96843752 108949221 145265628 217898442 290531256 435796884 871593768 1389785941 2779571882 4169357823 5559143764 8338715646 11118287528 12508073469 16677431292 25016146938 33354862584 43083364171 50032293876 86166728342 100064587752 129250092513 172333456684 258500185026 344666913368 387750277539 517000370052 775500555078 1034000740104 1551001110156 3102002220312