Search a number
-
+
109431052002 = 23417131303323
BaseRepresentation
bin110010111101010011…
…0010101011011100010
3101110110102211102110000
41211322212111123202
53243103322131002
6122134423120430
710622542410636
oct1457246253342
9343412742400
10109431052002
1142455a81058
12192602a3116
13a41c68409c
145421800dc6
152ca71b061c
hex197a9956e2

109431052002 has 80 divisors (see below), whose sum is σ = 261613310112. Its totient is φ = 34069127040.

The previous prime is 109431051971. The next prime is 109431052051. The reversal of 109431052002 is 200250134901.

109431052002 is a `hidden beast` number, since 109 + 4 + 31 + 0 + 520 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 209113 + ... + 512435.

Almost surely, 2109431052002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109431052002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130806655056).

109431052002 is an abundant number, since it is smaller than the sum of its proper divisors (152182258110).

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

109431052002 is a wasteful number, since it uses less digits than its factorization.

109431052002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303485 (or 303476 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 109431052002 its reverse (200250134901), we get a palindrome (309681186903).

The spelling of 109431052002 in words is "one hundred nine billion, four hundred thirty-one million, fifty-two thousand, two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 131 153 162 262 306 393 459 786 918 1179 1377 2227 2358 2754 3537 4454 6681 7074 10611 13362 20043 21222 40086 60129 120258 180387 303323 360774 606646 909969 1819938 2729907 5156491 5459814 8189721 10312982 15469473 16379442 24569163 30938946 39735313 46408419 49138326 79470626 92816838 119205939 139225257 238411878 278450514 357617817 417675771 675500321 715235634 835351542 1072853451 1351000642 2026500963 2145706902 3218560353 4053001926 6079502889 6437120706 12159005778 18238508667 36477017334 54715526001 109431052002