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10304311122 = 2327791139161
BaseRepresentation
bin10011001100010111…
…10100111101010010
3222121010101020111200
421212023310331102
5132100400423442
64422253052030
7513231125250
oct114613647522
928533336450
1010304311122
114408573506
121bb6a87016
13c82a67621
146da7395d0
1540496e34c
hex2662f4f52

10304311122 has 96 divisors (see below), whose sum is σ = 26069921280. Its totient is φ = 2880783360.

The previous prime is 10304311093. The next prime is 10304311169. The reversal of 10304311122 is 22111340301.

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

It is a junction number, because it is equal to n+sod(n) for n = 10304311095 and 10304311104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120222 + ... + 1129382.

It is an arithmetic number, because the mean of its divisors is an integer number (271561680).

Almost surely, 210304311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034960640).

10304311122 is an abundant number, since it is smaller than the sum of its proper divisors (15765610158).

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

10304311122 is a wasteful number, since it uses less digits than its factorization.

10304311122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9368 (or 9365 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10304311122 its reverse (22111340301), we get a palindrome (32415651423).

The spelling of 10304311122 in words is "ten billion, three hundred four million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 113 126 158 226 237 339 474 553 678 711 791 1017 1106 1422 1582 1659 2034 2373 3318 4746 4977 7119 8927 9161 9954 14238 17854 18322 26781 27483 53562 54966 62489 64127 80343 82449 124978 128254 160686 164898 187467 192381 374934 384762 562401 577143 723719 1035193 1124802 1154286 1447438 2070386 2171157 3105579 4342314 5066033 6211158 6513471 7246351 9316737 10132066 13026942 14492702 15198099 18633474 21739053 30396198 43478106 45594297 65217159 81780247 91188594 130434318 163560494 245340741 490681482 572461729 736022223 1144923458 1472044446 1717385187 3434770374 5152155561 10304311122