Search a number
-
+
123307566107236 = 2272389220392
BaseRepresentation
bin11100000010010111000111…
…101011010000101001100100
3121011121002101021221102001121
4130002113013223100221210
5112130232343410412421
61114130414105303324
734654451303211400
oct3402270753205144
9534532337842047
10123307566107236
113632049949a575
12119b59ba494b44
1353a5b134511b4
142264191ca8100
15e3c7a58e7d41
hex7025c7ad0a64

123307566107236 has 81 divisors (see below), whose sum is σ = 251789412389529. Its totient is φ = 52684397574816.

The previous prime is 123307566107137. The next prime is 123307566107237. The reversal of 123307566107236 is 632701665703321.

The square root of 123307566107236 is 11104394.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29108118297636 + 94199447809600 = 5395194^2 + 9705640^2 .

It is not an unprimeable number, because it can be changed into a prime (123307566107237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60474528705 + ... + 60474530743.

Almost surely, 2123307566107236 is an apocalyptic number.

123307566107236 is the 11104394-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123307566107236

123307566107236 is an abundant number, since it is smaller than the sum of its proper divisors (128481846282293).

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

123307566107236 is an frugal number, since it uses more digits than its factorization.

123307566107236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 52.

The spelling of 123307566107236 in words is "one hundred twenty-three trillion, three hundred seven billion, five hundred sixty-six million, one hundred seven thousand, two hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 98 196 389 778 1556 2039 2723 4078 5446 8156 10892 14273 19061 28546 38122 57092 76244 99911 151321 199822 302642 399644 605284 793171 1059247 1586342 2118494 3172684 4157521 4236988 5552197 7414729 8315042 11104394 14829458 16630084 22208788 29102647 29658916 38865379 58205294 77730758 116410588 155461516 203718529 308543519 407437058 617087038 814874116 1234174076 1617275669 2159804633 3234551338 4319609266 6469102676 8639218532 11320929683 15118632431 22641859366 30237264862 45283718732 60474529724 79246507781 158493015562 316986031124 629120235241 1258240470482 2516480940964 4403841646687 8807683293374 17615366586748 30826891526809 61653783053618 123307566107236