Search a number
-
+
101202120 = 23325281117
BaseRepresentation
bin1100000100000…
…11100011001000
321001102121012200
412002003203020
5201401431440
614013040200
72336126625
oct602034310
9231377180
10101202120
1152142718
1229a86060
1317c74a16
14d62534c
158d40c30
hex60838c8

101202120 has 48 divisors (see below), whose sum is σ = 328908060. Its totient is φ = 26987136.

The previous prime is 101202119. The next prime is 101202131. The reversal of 101202120 is 21202101.

It can be written as a sum of positive squares in 2 ways, for example, as 87497316 + 13704804 = 9354^2 + 3702^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 140199 + ... + 140918.

Almost surely, 2101202120 is an apocalyptic number.

101202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202120 is an abundant number, since it is smaller than the sum of its proper divisors (227705940).

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

101202120 is a wasteful number, since it uses less digits than its factorization.

101202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281134 (or 281127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101202120 is about 10059.9264410830. The cubic root of 101202120 is about 466.0113955228.

Adding to 101202120 its reverse (21202101), we get a palindrome (122404221).

The spelling of 101202120 in words is "one hundred one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 281117 562234 843351 1124468 1405585 1686702 2248936 2530053 2811170 3373404 4216755 5060106 5622340 6746808 8433510 10120212 11244680 12650265 16867020 20240424 25300530 33734040 50601060 101202120