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22313012010 = 2356779831693
BaseRepresentation
bin10100110001111101…
…011000101100101010
32010121000212110020020
4110301331120230222
5331144112341020
614130033141310
71416636321102
oct246175305452
963530773206
1022313012010
1195101281a3
1243a86ba836
1321479575b3
141119580202
158a8d5cc40
hex531f58b2a

22313012010 has 128 divisors (see below), whose sum is σ = 55734497280. Its totient is φ = 5714032896.

The previous prime is 22313011999. The next prime is 22313012017. The reversal of 22313012010 is 1021031322.

It is a super-3 number, since 3×223130120103 (a number of 32 digits) contains 333 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22313012017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13178724 + ... + 13180416.

It is an arithmetic number, because the mean of its divisors is an integer number (435425760).

Almost surely, 222313012010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22313012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27867248640).

22313012010 is an abundant number, since it is smaller than the sum of its proper divisors (33421485270).

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

22313012010 is a wasteful number, since it uses less digits than its factorization.

22313012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 22313012010 its reverse (1021031322), we get a palindrome (23334043332).

The spelling of 22313012010 in words is "twenty-two billion, three hundred thirteen million, twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 67 79 83 134 158 166 201 237 249 335 395 402 415 474 498 670 790 830 1005 1185 1245 1693 2010 2370 2490 3386 5079 5293 5561 6557 8465 10158 10586 11122 13114 15879 16683 16930 19671 25395 26465 27805 31758 32785 33366 39342 50790 52930 55610 65570 79395 83415 98355 113431 133747 140519 158790 166830 196710 226862 267494 281038 340293 401241 421557 439319 567155 668735 680586 702595 802482 843114 878638 1134310 1317957 1337470 1405190 1701465 2006205 2107785 2196595 2635914 3402930 4012410 4215570 4393190 6589785 8961049 9414773 11101001 13179570 17922098 18829546 22202002 26883147 28244319 33303003 44805245 47073865 53766294 55505005 56488638 66606006 89610490 94147730 111010010 134415735 141221595 166515015 268831470 282443190 333030030 743767067 1487534134 2231301201 3718835335 4462602402 7437670670 11156506005 22313012010