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1122030211313 = 112232101197881
BaseRepresentation
bin10000010100111110001…
…101100101000011110001
310222021011012210110100002
4100110332031211003301
5121340404213230223
62215241545235345
7144030645301604
oct20247615450361
93867135713302
101122030211313
113a2939891900
12161559792b55
1381a64c7747b
143c44127033b
151e2bea9ae28
hex1053e3650f1

1122030211313 has 72 divisors (see below), whose sum is σ = 1310118922728. Its totient is φ = 960023680000.

The previous prime is 1122030211277. The next prime is 1122030211381. The reversal of 1122030211313 is 3131120302211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 611559972529 + 510470238784 = 782023^2 + 714472^2 .

It is not a de Polignac number, because 1122030211313 - 212 = 1122030207217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122030211613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1273586633 + ... + 1273587513.

It is an arithmetic number, because the mean of its divisors is an integer number (18196096149).

Almost surely, 21122030211313 is an apocalyptic number.

It is an amenable number.

1122030211313 is a deficient number, since it is larger than the sum of its proper divisors (188088711415).

1122030211313 is a wasteful number, since it uses less digits than its factorization.

1122030211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1122030211313 its reverse (3131120302211), we get a palindrome (4253150513524).

The spelling of 1122030211313 in words is "one trillion, one hundred twenty-two billion, thirty million, two hundred eleven thousand, three hundred thirteen".

Divisors: 1 11 23 101 121 197 253 529 881 1111 2167 2323 2783 4531 5819 9691 12221 19897 20263 23837 25553 49841 53429 64009 88981 104213 106601 173557 218867 222893 281083 457631 466049 548251 587719 978791 1146343 1909127 2046563 2407537 2451823 3991811 5033941 5126539 6464909 10525513 10766701 12609773 17529257 21000397 22512193 43909921 47070949 55373351 56391929 91811653 115780643 192821827 247634123 403172911 483009131 517780439 1009928183 1273587073 2121040097 4434902021 5695584829 9272976953 11109210013 48783922231 102002746483 1122030211313