Search a number
-
+
112407737201 = 29472112691453
BaseRepresentation
bin110100010110000000…
…1011111001101110001
3101202010212222200212222
41220230001133031301
53320202340042301
6123350035530425
711056366000304
oct1505401371561
9352125880788
10112407737201
1143743267771
1219951159a15
13a7a5294486
145624c98b3b
152dcd69b31b
hex1a2c05f371

112407737201 has 32 divisors (see below), whose sum is σ = 119846822400. Its totient is φ = 105253505280.

The previous prime is 112407737179. The next prime is 112407737203. The reversal of 112407737201 is 102737704211.

It is a cyclic number.

It is not a de Polignac number, because 112407737201 - 218 = 112407475057 is a prime.

It is a super-3 number, since 3×1124077372013 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112407737203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77361791 + ... + 77363243.

It is an arithmetic number, because the mean of its divisors is an integer number (3745213200).

Almost surely, 2112407737201 is an apocalyptic number.

It is an amenable number.

112407737201 is a deficient number, since it is larger than the sum of its proper divisors (7439085199).

112407737201 is a wasteful number, since it uses less digits than its factorization.

112407737201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009.

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 112407737201 in words is "one hundred twelve billion, four hundred seven million, seven hundred thirty-seven thousand, two hundred one".

Divisors: 1 29 47 211 269 1363 1453 6119 7801 9917 12643 42137 56759 68291 287593 306583 366647 390857 1646011 1980439 2667673 8890907 11334853 14409401 18370279 77362517 82470827 417872629 532738091 2391653983 3876128869 112407737201