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2113102040 = 235717557797
BaseRepresentation
bin111110111110011…
…0110000011011000
312110021011201001112
41331330312003120
513311423231130
6545403035452
7103236033230
oct17574660330
95407151045
102113102040
11994877925
124ab80bb88
13278a2764a
141608dacc0
15c57a4495
hex7df360d8

2113102040 has 128 divisors (see below), whose sum is σ = 5770880640. Its totient is φ = 679796736.

The previous prime is 2113102039. The next prime is 2113102049. The reversal of 2113102040 is 402013112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113102049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650922 + ... + 2651718.

It is an arithmetic number, because the mean of its divisors is an integer number (45085005).

Almost surely, 22113102040 is an apocalyptic number.

2113102040 is a gapful number since it is divisible by the number (20) 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 2113102040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885440320).

2113102040 is an abundant number, since it is smaller than the sum of its proper divisors (3657778600).

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

2113102040 is a wasteful number, since it uses less digits than its factorization.

2113102040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2113102040 is about 45968.4896423626. The cubic root of 2113102040 is about 1283.2368517261.

Adding to 2113102040 its reverse (402013112), we get a palindrome (2515115152).

The spelling of 2113102040 in words is "two billion, one hundred thirteen million, one hundred two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 557 595 680 797 952 1114 1190 1594 2228 2380 2785 3188 3899 3985 4456 4760 5570 5579 6376 7798 7970 9469 11140 11158 13549 15596 15940 18938 19495 22280 22316 27098 27895 31192 31880 37876 38990 44632 47345 54196 55790 66283 67745 75752 77980 94690 94843 108392 111580 132566 135490 155960 189380 189686 223160 265132 270980 331415 378760 379372 443929 474215 530264 541960 662830 758744 887858 948430 1325660 1775716 1896860 2219645 2651320 3107503 3551432 3793720 4439290 6215006 7546793 8878580 12430012 15093586 15537515 17757160 24860024 30187172 31075030 37733965 52827551 60374344 62150060 75467930 105655102 124300120 150935860 211310204 264137755 301871720 422620408 528275510 1056551020 2113102040