Search a number
-
+
106012613020 = 225171092860567
BaseRepresentation
bin110001010111011011…
…0000001100110011100
3101010122012102201201211
41202232312001212130
53214103212104040
6120411310114204
710442043225346
oct1425666014634
9333565381654
10106012613020
1140a613a1276
12186674ab964
139cc63a3522
1451b97d4296
152b570148ea
hex18aed8199c

106012613020 has 48 divisors (see below), whose sum is σ = 237884834880. Its totient is φ = 39544464384.

The previous prime is 106012612999. The next prime is 106012613023. The reversal of 106012613020 is 20316210601.

It is a super-2 number, since 2×1060126130202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106012612982 and 106012613000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106012613023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393224 + ... + 1467343.

It is an arithmetic number, because the mean of its divisors is an integer number (4955934060).

Almost surely, 2106012613020 is an apocalyptic number.

106012613020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106012613020 is an abundant number, since it is smaller than the sum of its proper divisors (131872221860).

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

106012613020 is a wasteful number, since it uses less digits than its factorization.

106012613020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2860702 (or 2860700 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 106012613020 its reverse (20316210601), we get a palindrome (126328823621).

The spelling of 106012613020 in words is "one hundred six billion, twelve million, six hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 18530 37060 2860567 5721134 11442268 14302835 28605670 48629639 57211340 97259278 194518556 243148195 311801803 486296390 623603606 972592780 1247207212 1559009015 3118018030 5300630651 6236036060 10601261302 21202522604 26503153255 53006306510 106012613020