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2113051410 = 23251131731201
BaseRepresentation
bin111110111110010…
…1001101100010010
312110021002010121100
41331330221230102
513311420121120
6545402005230
7103235432511
oct17574515422
95407063540
102113051410
11994842888
124ab7a6816
13278a0a5a2
141608c6678
15c5794490
hex7df29b12

2113051410 has 96 divisors (see below), whose sum is σ = 5579232048. Its totient is φ = 554803200.

The previous prime is 2113051403. The next prime is 2113051411. The reversal of 2113051410 is 141503112.

2113051410 is a `hidden beast` number, since 21 + 130 + 514 + 1 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 135559449 + 1977491961 = 11643^2 + 44469^2 .

It is a super-2 number, since 2×21130514102 = 8929972522605976200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2113051411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758810 + ... + 1760010.

Almost surely, 22113051410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113051410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789616024).

2113051410 is an abundant number, since it is smaller than the sum of its proper divisors (3466180638).

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

2113051410 is a wasteful number, since it uses less digits than its factorization.

2113051410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2113051410 is about 45967.9389357409. The cubic root of 2113051410 is about 1283.2266028440.

Adding to 2113051410 its reverse (141503112), we get a palindrome (2254554522).

The spelling of 2113051410 in words is "two billion, one hundred thirteen million, fifty-one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 173 226 339 346 519 565 678 865 1017 1038 1130 1201 1557 1695 1730 2034 2402 2595 3114 3390 3603 5085 5190 6005 7206 7785 10170 10809 12010 15570 18015 19549 21618 36030 39098 54045 58647 97745 108090 117294 135713 175941 195490 207773 271426 293235 351882 407139 415546 586470 623319 678565 814278 879705 1038865 1221417 1246638 1357130 1759410 1869957 2035695 2077730 2442834 3116595 3739914 4071390 6107085 6233190 9349785 12214170 18699570 23478349 46956698 70435047 117391745 140870094 211305141 234783490 352175235 422610282 704350470 1056525705 2113051410