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1010113022310 = 235753160156687
BaseRepresentation
bin11101011001011110110…
…11011000100101100110
310120120021111212012001220
432230233123120211212
5113022202413203220
62052012311401210
7132656354011050
oct16545733304546
93516244765056
101010113022310
1135a428516277
12143924983206
137433a508c02
1436c655ca8d0
151b41e4ec540
hexeb2f6d8966

1010113022310 has 128 divisors (see below), whose sum is σ = 2824684130304. Its totient is φ = 226381209600.

The previous prime is 1010113022227. The next prime is 1010113022329. The reversal of 1010113022310 is 132203110101.

It is a happy number.

It is a super-2 number, since 2×10101130223102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1010113022310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17790787 + ... + 17847473.

It is an arithmetic number, because the mean of its divisors is an integer number (22067844768).

Almost surely, 21010113022310 is an apocalyptic number.

1010113022310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010113022310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412342065152).

1010113022310 is an abundant number, since it is smaller than the sum of its proper divisors (1814571107994).

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

1010113022310 is a wasteful number, since it uses less digits than its factorization.

1010113022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58358.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1010113022310 its reverse (132203110101), we get a palindrome (1142316132411).

The spelling of 1010113022310 in words is "one trillion, ten billion, one hundred thirteen million, twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1601 1855 2226 3202 3710 4803 5565 8005 9606 11130 11207 16010 22414 24015 33621 48030 56035 56687 67242 84853 112070 113374 168105 169706 170061 254559 283435 336210 340122 396809 424265 509118 566870 593971 793618 848530 850305 1187942 1190427 1272795 1700610 1781913 1984045 2380854 2545590 2969855 3004411 3563826 3968090 5939710 5952135 6008822 8909565 9013233 11904270 15022055 17819130 18026466 21030877 30044110 42061754 45066165 63092631 90132330 90755887 105154385 126185262 181511774 210308770 272267661 315463155 453779435 544535322 630926310 635291209 907558870 1270582418 1361338305 1905873627 2722676610 3176456045 3811747254 4810062011 6352912090 9529368135 9620124022 14430186033 19058736270 24050310055 28860372066 33670434077 48100620110 67340868154 72150930165 101011302231 144301860330 168352170385 202022604462 336704340770 505056511155 1010113022310