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3113417100 = 2235263116447
BaseRepresentation
bin1011100110010010…
…1111100110001100
322000222102222100110
42321210233212030
522334013321400
61232535200020
7140103415533
oct27144574614
98028388313
103113417100
111358496392
1272a816010
133a8045051
142176cb31a
151334e8e50
hexb992f98c

3113417100 has 72 divisors (see below), whose sum is σ = 9022978048. Its totient is φ = 828878400.

The previous prime is 3113417071. The next prime is 3113417113. The reversal of 3113417100 is 17143113.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181077 + ... + 197523.

Almost surely, 23113417100 is an apocalyptic number.

3113417100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113417100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511489024).

3113417100 is an abundant number, since it is smaller than the sum of its proper divisors (5909560948).

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

3113417100 is a wasteful number, since it uses less digits than its factorization.

3113417100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17095 (or 17088 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 3113417100 is about 55798.0026524248. The cubic root of 3113417100 is about 1460.2003071642.

The spelling of 3113417100 in words is "three billion, one hundred thirteen million, four hundred seventeen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 631 1262 1893 2524 3155 3786 6310 7572 9465 12620 15775 16447 18930 31550 32894 37860 47325 49341 63100 65788 82235 94650 98682 164470 189300 197364 246705 328940 411175 493410 822350 986820 1233525 1644700 2467050 4934100 10378057 20756114 31134171 41512228 51890285 62268342 103780570 124536684 155670855 207561140 259451425 311341710 518902850 622683420 778354275 1037805700 1556708550 3113417100