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104312214100 = 22522935969729
BaseRepresentation
bin110000100100101111…
…1100001001001010100
3100222020200211111221001
41201021133201021110
53202112411322400
6115530444433044
710351645122163
oct1411137411124
9328220744831
10104312214100
1140269586406
1218271b48784
139ab5017513
145097a473da
152aa7ad2a6a
hex18497e1254

104312214100 has 36 divisors (see below), whose sum is σ = 234162942300. Its totient is φ = 40286095360.

The previous prime is 104312214079. The next prime is 104312214121. The reversal of 104312214100 is 1412213401.

104312214100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (104312214079) and next prime (104312214121).

It can be written as a sum of positive squares in 6 ways, for example, as 19413406224 + 84898807876 = 139332^2 + 291374^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17981965 + ... + 17987764.

It is an arithmetic number, because the mean of its divisors is an integer number (6504526175).

Almost surely, 2104312214100 is an apocalyptic number.

104312214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104312214100 is an abundant number, since it is smaller than the sum of its proper divisors (129850728200).

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

104312214100 is a wasteful number, since it uses less digits than its factorization.

104312214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35969772 (or 35969765 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 104312214100 its reverse (1412213401), we get a palindrome (105724427501).

The spelling of 104312214100 in words is "one hundred four billion, three hundred twelve million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 35969729 71939458 143878916 179848645 359697290 719394580 899243225 1043122141 1798486450 2086244282 3596972900 4172488564 5215610705 10431221410 20862442820 26078053525 52156107050 104312214100