Search a number
-
+
1120151105017 = 72297190712241
BaseRepresentation
bin10000010011001110001…
…101010110110111111001
310222002022020220222002121
4100103032031112313321
5121323032140330032
62214331301401241
7143633250202600
oct20231615266771
93862266828077
101120151105017
113a206510749a
12161114409221
138182587aa59
143c303884a37
151e20eb18a97
hex104ce356df9

1120151105017 has 48 divisors (see below), whose sum is σ = 1368569416320. Its totient is φ = 912882700800.

The previous prime is 1120151104867. The next prime is 1120151105039. The reversal of 1120151105017 is 7105011510211.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1120151105017 is a prime.

It is a super-3 number, since 3×11201511050173 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1120151104982 and 1120151105000.

It is not an unprimeable number, because it can be changed into a prime (1120151105617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91502017 + ... + 91514257.

It is an arithmetic number, because the mean of its divisors is an integer number (28511862840).

Almost surely, 21120151105017 is an apocalyptic number.

It is an amenable number.

1120151105017 is a deficient number, since it is larger than the sum of its proper divisors (248418311303).

1120151105017 is a wasteful number, since it uses less digits than its factorization.

1120151105017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13262 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 25.

Adding to 1120151105017 its reverse (7105011510211), we get a palindrome (8225162615228).

The spelling of 1120151105017 in words is "one trillion, one hundred twenty billion, one hundred fifty-one million, one hundred five thousand, seventeen".

Divisors: 1 7 29 49 71 203 497 907 1421 2059 3479 6349 12241 14413 26303 44443 64397 85687 100891 184121 354989 450779 599809 869111 1288847 1867513 2484923 3155453 6083777 11102587 13072591 17394461 25204219 42586439 77718109 91508137 176429533 321975023 544026763 788283677 1235006731 2253825161 5517985739 15776776127 22860226633 38625900173 160021586431 1120151105017