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106201330120 = 23514931778321
BaseRepresentation
bin110001011101000010…
…1111011000111001000
3101011010100112112221001
41202322011323013020
53220000020030440
6120442131024344
710446524261104
oct1427205730710
9334110475831
10106201330120
1141048978216
12186ba73b0b4
13a02650a052
1451d68ba904
152b68890b9a
hex18ba17b1c8

106201330120 has 32 divisors (see below), whose sum is σ = 239113176120. Its totient is φ = 42452055040.

The previous prime is 106201330097. The next prime is 106201330121. The reversal of 106201330120 is 21033102601.

It can be written as a sum of positive squares in 4 ways, for example, as 102616434244 + 3584895876 = 320338^2 + 59874^2 .

It is a super-2 number, since 2×1062013301202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106201330121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 829441 + ... + 948880.

Almost surely, 2106201330120 is an apocalyptic number.

106201330120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106201330120 is an abundant number, since it is smaller than the sum of its proper divisors (132911846000).

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

106201330120 is a wasteful number, since it uses less digits than its factorization.

106201330120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779825 (or 1779821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 106201330120 its reverse (21033102601), we get a palindrome (127234432721).

The spelling of 106201330120 in words is "one hundred six billion, two hundred one million, three hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1493 2986 5972 7465 11944 14930 29860 59720 1778321 3556642 7113284 8891605 14226568 17783210 35566420 71132840 2655033253 5310066506 10620133012 13275166265 21240266024 26550332530 53100665060 106201330120