Search a number
-
+
12137348700 = 22325213485943
BaseRepresentation
bin10110100110111000…
…10011111001011100
31011022212120012100100
423103130103321130
5144324130124300
65324213301100
7606526522161
oct132334237134
934285505310
1012137348700
1151692427a4
122428934790
1311b5754149
14831d72068
154b0851700
hex2d3713e5c

12137348700 has 54 divisors (see below), whose sum is σ = 38043848024. Its totient is φ = 3236626080.

The previous prime is 12137348677. The next prime is 12137348701. The reversal of 12137348700 is 784373121.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137348701) 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 17 ways as a sum of consecutive naturals, for example, 6742072 + ... + 6743871.

Almost surely, 212137348700 is an apocalyptic number.

12137348700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12137348700 is an abundant number, since it is smaller than the sum of its proper divisors (25906499324).

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

12137348700 is a wasteful number, since it uses less digits than its factorization.

12137348700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13485963 (or 13485953 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 12137348700 in words is "twelve billion, one hundred thirty-seven million, three hundred forty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13485943 26971886 40457829 53943772 67429715 80915658 121373487 134859430 161831316 202289145 242746974 269718860 337148575 404578290 485493948 606867435 674297150 809156580 1011445725 1213734870 1348594300 2022891450 2427469740 3034337175 4045782900 6068674350 12137348700