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1012314130100 = 2252713556319997
BaseRepresentation
bin11101011101100101001…
…11111100011010110100
310120202221220122001022122
432232302213330122310
5113041204404130400
62053014541015112
7133065042062660
oct16566247743264
93522856561278
101012314130100
11360357a32119
12144239b54498
13745cb537860
1436dd3a758a0
151b4ec887685
hexebb29fc6b4

1012314130100 has 144 divisors (see below), whose sum is σ = 2704278665088. Its totient is φ = 320307125760.

The previous prime is 1012314130019. The next prime is 1012314130103. The reversal of 1012314130100 is 10314132101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012314130103) 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, 50613302 + ... + 50633298.

It is an arithmetic number, because the mean of its divisors is an integer number (18779712952).

Almost surely, 21012314130100 is an apocalyptic number.

1012314130100 is a gapful number since it is divisible by the number (10) 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 1012314130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352139332544).

1012314130100 is an abundant number, since it is smaller than the sum of its proper divisors (1691964534988).

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

1012314130100 is a wasteful number, since it uses less digits than its factorization.

1012314130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25594 (or 25587 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1012314130100 its reverse (10314132101), we get a palindrome (1022628262201).

The spelling of 1012314130100 in words is "one trillion, twelve billion, three hundred fourteen million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 5563 9100 11126 19997 22252 27815 38941 39994 55630 72319 77882 79988 99985 111260 139075 139979 144638 155764 194705 199970 259961 278150 279958 289276 361595 389410 399940 499925 506233 519922 556300 559916 699895 723190 778820 973525 999850 1012466 1039844 1299805 1399790 1446380 1807975 1819727 1947050 1999700 2024932 2531165 2599610 2799580 3499475 3615950 3639454 3894100 5062330 5199220 6499025 6998950 7231900 7278908 9098635 10124660 12655825 12998050 13997900 18197270 25311650 25996100 36394540 45493175 50623300 90986350 111243311 181972700 222486622 444973244 556216555 778703177 1112433110 1446163043 1557406354 2224866220 2781082775 2892326086 3114812708 3893515885 5562165550 5784652172 7230815215 7787031770 10123141301 11124331100 14461630430 15574063540 19467579425 20246282602 28923260860 36154076075 38935158850 40492565204 50615706505 72308152150 77870317700 101231413010 144616304300 202462826020 253078532525 506157065050 1012314130100