Search a number
-
+
12523747100 = 22525913915271
BaseRepresentation
bin10111010100111100…
…10011011100011100
31012022210122021022012
423222132103130130
5201122034401400
65430415210352
7622231044134
oct135236233434
935283567265
1012523747100
115347368617
1225162169b8
131247812757
1486b3d5ac4
154d4729d35
hex2ea79371c

12523747100 has 72 divisors (see below), whose sum is σ = 27837801600. Its totient is φ = 4888843200.

The previous prime is 12523747099. The next prime is 12523747109. The reversal of 12523747100 is 174732521.

It is a super-3 number, since 3×125237471003 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12523747109) 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, 812465 + ... + 827735.

Almost surely, 212523747100 is an apocalyptic number.

12523747100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12523747100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918900800).

12523747100 is an abundant number, since it is smaller than the sum of its proper divisors (15314054500).

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

12523747100 is a wasteful number, since it uses less digits than its factorization.

12523747100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15483 (or 15476 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The spelling of 12523747100 in words is "twelve billion, five hundred twenty-three million, seven hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 139 236 278 295 556 590 695 1180 1390 1475 2780 2950 3475 5900 6950 8201 13900 15271 16402 30542 32804 41005 61084 76355 82010 152710 164020 205025 305420 381775 410050 763550 820100 900989 1527100 1801978 2122669 3603956 4245338 4504945 8490676 9009890 10613345 18019780 21226690 22524725 42453380 45049450 53066725 90098900 106133450 125237471 212266900 250474942 500949884 626187355 1252374710 2504749420 3130936775 6261873550 12523747100