Search a number
-
+
106080000012 = 22327420952381
BaseRepresentation
bin110001011001011011…
…1000101100000001100
3101010210220020100022100
41202302313011200030
53214222440000022
6120422114315100
710443522060030
oct1426267054014
9333726210270
10106080000012
1140a964380a8
1218685b88a90
13a00733889c
1451c47361c0
152b5cdc61ac
hex18b2dc580c

106080000012 has 36 divisors (see below), whose sum is σ = 306453334096. Its totient is φ = 30308571360.

The previous prime is 106080000011. The next prime is 106080000031. The reversal of 106080000012 is 210000080601.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1060800000122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 106080000012.

It is not an unprimeable number, because it can be changed into a prime (106080000011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210475939 + ... + 210476442.

Almost surely, 2106080000012 is an apocalyptic number.

106080000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106080000012 is an abundant number, since it is smaller than the sum of its proper divisors (200373334084).

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

106080000012 is a wasteful number, since it uses less digits than its factorization.

106080000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420952398 (or 420952393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 106080000012 its reverse (210000080601), we get a palindrome (316080080613).

The spelling of 106080000012 in words is "one hundred six billion, eighty million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 420952381 841904762 1262857143 1683809524 2525714286 2946666667 3788571429 5051428572 5893333334 7577142858 8840000001 11786666668 15154285716 17680000002 26520000003 35360000004 53040000006 106080000012