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3107413100 = 2252112673833
BaseRepresentation
bin1011100100110111…
…0101110001101100
322000120010221102002
42321031311301230
522330444204400
61232202351432
7140001401261
oct27115656154
98016127362
103107413100
111355065500
127287bb578
133a6a2229c
142169a7268
15132c0eed5
hexb9375c6c

3107413100 has 108 divisors (see below), whose sum is σ = 7524409032. Its totient is φ = 1112812800.

The previous prime is 3107413081. The next prime is 3107413157. The reversal of 3107413100 is 13147013.

It is a happy number.

It is a super-2 number, since 2×31074131002 = 19312032348103220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 808784 + ... + 812616.

It is an arithmetic number, because the mean of its divisors is an integer number (69670454).

Almost surely, 23107413100 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 3107413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762204516).

3107413100 is an abundant number, since it is smaller than the sum of its proper divisors (4416995932).

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

3107413100 is a wasteful number, since it uses less digits than its factorization.

3107413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3936 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 3107413100 is about 55744.1754804930. The cubic root of 3107413100 is about 1459.2610728819.

The spelling of 3107413100 in words is "three billion, one hundred seven million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 121 134 220 242 268 275 335 484 550 605 670 737 1100 1210 1340 1474 1675 2420 2948 3025 3350 3685 3833 6050 6700 7370 7666 8107 12100 14740 15332 16214 18425 19165 32428 36850 38330 40535 42163 73700 76660 81070 84326 95825 162140 168652 191650 202675 210815 256811 383300 405350 421630 463793 513622 810700 843260 927586 1027244 1054075 1284055 1855172 2108150 2318965 2568110 2824921 4216300 4637930 5136220 5649842 6420275 9275860 11299684 11594825 12840550 14124605 23189650 25681100 28249210 31074131 46379300 56498420 62148262 70623025 124296524 141246050 155370655 282492100 310741310 621482620 776853275 1553706550 3107413100