Search a number
-
+
104202230311312 = 24761241206330677
BaseRepresentation
bin10111101100010101111000…
…111011000010100110010000
3111122221122011121000110122221
4113230111320323002212100
5102124222131424430222
61005341502130110424
730643235256344620
oct2754257073024620
9448848147013587
10104202230311312
1130224a10511931
12b82b11011b414
13461b2c7345a83
141ba35b4520880
15c0a8149070c7
hex5ec578ec2990

104202230311312 has 160 divisors (see below), whose sum is σ = 235610951076864. Its totient is φ = 43721103974400.

The previous prime is 104202230311303. The next prime is 104202230311321. The reversal of 104202230311312 is 213113032202401.

It is an interprime number because it is at equal distance from previous prime (104202230311303) and next prime (104202230311321).

It is a super-2 number, since 2×1042022303113122 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 3396738918 + ... + 3396769594.

Almost surely, 2104202230311312 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 104202230311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117805475538432).

104202230311312 is an abundant number, since it is smaller than the sum of its proper divisors (131408720765552).

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

104202230311312 is a wasteful number, since it uses less digits than its factorization.

104202230311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33057 (or 33051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 104202230311312 its reverse (213113032202401), we get a palindrome (317315262513713).

The spelling of 104202230311312 in words is "one hundred four trillion, two hundred two billion, two hundred thirty million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 61 112 122 241 244 427 482 488 854 964 976 1687 1708 1928 2063 3374 3416 3856 4126 6748 6832 8252 13496 14441 14701 16504 26992 28882 29402 30677 33008 57764 58804 61354 102907 115528 117608 122708 125843 205814 214739 231056 235216 245416 251686 411628 429478 490832 497183 503372 823256 858956 880901 994366 1006744 1646512 1717912 1761802 1871297 1988732 2013488 3435824 3480281 3523604 3742594 3977464 6960562 7047208 7393157 7485188 7954928 13099079 13921124 14094416 14786314 14970376 26198158 27842248 29572628 29940752 30328163 51752099 52396316 55684496 59145256 60656326 63286651 103504198 104792632 118290512 121312652 126573302 207008396 209585264 212297141 242625304 253146604 414016792 424594282 443006557 450982577 485250608 506293208 828033584 849188564 886013114 901965154 1012586416 1698377128 1772026228 1803930308 3156878039 3396754256 3544052456 3607860616 3860485711 6313756078 7088104912 7215721232 7720971422 12627512156 15252082891 15441942844 25255024312 27023399977 30504165782 30883885688 50510048624 54046799954 61008331564 61767771376 106764580237 108093599908 122016663128 213529160474 216187199816 244033326256 427058320948 432374399632 854116641896 930377056351 1708233283792 1860754112702 3721508225404 6512639394457 7443016450808 13025278788914 14886032901616 26050557577828 52101115155656 104202230311312