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113022122010 = 23571133373
BaseRepresentation
bin110100101000010100…
…1001011100000011010
3101210201201001200101220
41221100221023200122
53322432130401020
6123531024152510
711110536120540
oct1512051134032
9353651050356
10113022122010
1143a29050106
1219aa2a68736
13a872658695
145682707d90
152e175ab240
hex1a50a4b81a

113022122010 has 128 divisors (see below), whose sum is σ = 313609950720. Its totient is φ = 25536365568.

The previous prime is 113022121991. The next prime is 113022122021. The reversal of 113022122010 is 10221220311.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303008184 + ... + 303008556.

It is an arithmetic number, because the mean of its divisors is an integer number (2450077740).

Almost surely, 2113022122010 is an apocalyptic number.

113022122010 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 113022122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156804975360).

113022122010 is an abundant number, since it is smaller than the sum of its proper divisors (200587828710).

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

113022122010 is an frugal number, since it uses more digits than its factorization.

113022122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 113022122010 its reverse (10221220311), we get a palindrome (123243342321).

It can be divided in two parts, 11302 and 2122010, that added together give a palindrome (2133312).

The spelling of 113022122010 in words is "one hundred thirteen billion, twenty-two million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 113 210 226 339 373 565 678 746 791 1119 1130 1582 1695 1865 2238 2373 2611 3390 3730 3955 4746 5222 5595 7833 7910 11190 11865 12769 13055 15666 23730 25538 26110 38307 39165 42149 63845 76614 78330 84298 89383 126447 127690 178766 191535 210745 252894 268149 295043 383070 421490 446915 536298 590086 632235 885129 893830 1264470 1340745 1442897 1475215 1770258 2681490 2885794 2950430 4328691 4425645 4762837 7214485 8657382 8851290 9525674 10100279 14288511 14428970 20200558 21643455 23814185 28577022 30300837 33339859 43286910 47628370 50501395 60601674 66679718 71442555 100019577 101002790 142885110 151504185 166699295 200039154 303008370 333398590 500097885 538200581 1000195770 1076401162 1614601743 2691002905 3229203486 3767404067 5382005810 7534808134 8073008715 11302212201 16146017430 18837020335 22604424402 37674040670 56511061005 113022122010