Search a number
-
+
1102157474761 = 72172357526879
BaseRepresentation
bin10000000010011101101…
…101000110101111001001
310220100212020201211201101
4100002131231012233021
5121024204303143021
62202154003421401
7142425326650300
oct20023555065711
93810766654641
101102157474761
11395471185792
12159732384861
137cc18a6a865
143b4b7c35437
151da0a0bca91
hex1009db46bc9

1102157474761 has 24 divisors (see below), whose sum is σ = 1416541893120. Its totient is φ = 850477364352.

The previous prime is 1102157474741. The next prime is 1102157474767. The reversal of 1102157474761 is 1674747512011.

It is not a de Polignac number, because 1102157474761 - 217 = 1102157343689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102157474767) 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 23 ways as a sum of consecutive naturals, for example, 28744281 + ... + 28782598.

It is an arithmetic number, because the mean of its divisors is an integer number (59022578880).

Almost surely, 21102157474761 is an apocalyptic number.

It is an amenable number.

1102157474761 is a deficient number, since it is larger than the sum of its proper divisors (314384418359).

1102157474761 is a wasteful number, since it uses less digits than its factorization.

1102157474761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57526933 (or 57526926 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 46.

The spelling of 1102157474761 in words is "one trillion, one hundred two billion, one hundred fifty-seven million, four hundred seventy-four thousand, seven hundred sixty-one".

Divisors: 1 7 17 23 49 119 161 391 833 1127 2737 19159 57526879 402688153 977956943 1323118217 2818817071 6845698601 9261827519 22493009689 47919890207 64832792633 157451067823 1102157474761