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104216313300 = 223521141770261
BaseRepresentation
bin110000100001111000…
…1101011110111010100
3100222000000101020202120
41201003301223313110
53201413334011200
6115513141135540
710346402022051
oct1410361536724
9328000336676
10104216313300
114021a434750
12182459ba5b0
139a9b1aa798
145089002028
152a9e48c9a0
hex1843c6bdd4

104216313300 has 144 divisors (see below), whose sum is σ = 336968057664. Its totient is φ = 24648320000.

The previous prime is 104216313293. The next prime is 104216313349. The reversal of 104216313300 is 3313612401.

It is a happy number.

It is a super-2 number, since 2×1042163133002 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 249831 + ... + 520430.

It is an arithmetic number, because the mean of its divisors is an integer number (2340055956).

Almost surely, 2104216313300 is an apocalyptic number.

104216313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104216313300 is an abundant number, since it is smaller than the sum of its proper divisors (232751744364).

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

104216313300 is a wasteful number, since it uses less digits than its factorization.

104216313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770330 (or 770323 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 104216313300 its reverse (3313612401), we get a palindrome (107529925701).

The spelling of 104216313300 in words is "one hundred four billion, two hundred sixteen million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 41 44 50 55 60 66 75 82 100 110 123 132 150 164 165 205 220 246 275 300 330 410 451 492 550 615 660 820 825 902 1025 1100 1230 1353 1650 1804 2050 2255 2460 2706 3075 3300 4100 4510 5412 6150 6765 9020 11275 12300 13530 22550 27060 33825 45100 67650 135300 770261 1540522 2310783 3081044 3851305 4621566 7702610 8472871 9243132 11553915 15405220 16945742 19256525 23107830 25418613 31580701 33891484 38513050 42364355 46215660 50837226 57769575 63161402 77026100 84728710 94742103 101674452 115539150 126322804 127093065 157903505 169457420 189484206 211821775 231078300 254186130 315807010 347387711 378968412 423643550 473710515 508372260 631614020 635465325 694775422 789517525 847287100 947421030 1042163133 1270930650 1389550844 1579035050 1736938555 1894842060 2084326266 2368552575 2541861300 3158070100 3473877110 4168652532 4737105150 5210815665 6947754220 8684692775 9474210300 10421631330 17369385550 20843262660 26054078325 34738771100 52108156650 104216313300