[go: up one dir, main page]

Search a number
-
+
101220012 = 22323775991
BaseRepresentation
bin1100000100001…
…11111010101100
321001110111202100
412002013322230
5201403020022
614013255100
72336233035
oct602077254
9231414670
10101220012
1152155103
1229a94490
1317c7cbca
14d62ba8c
158d461ac
hex6087eac

101220012 has 36 divisors (see below), whose sum is σ = 262780336. Its totient is φ = 32827680.

The previous prime is 101220001. The next prime is 101220013. The reversal of 101220012 is 210022101.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 101219976 and 101220003.

It is not an unprimeable number, because it can be changed into a prime (101220013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36664 + ... + 39327.

Almost surely, 2101220012 is an apocalyptic number.

101220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101220012 is an abundant number, since it is smaller than the sum of its proper divisors (161560324).

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

101220012 is a wasteful number, since it uses less digits than its factorization.

101220012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76038 (or 76033 counting only the distinct ones).

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

The square root of 101220012 is about 10060.8156726977. The cubic root of 101220012 is about 466.0388566886.

Adding to 101220012 its reverse (210022101), we get a palindrome (311242113).

The spelling of 101220012 in words is "one hundred one million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 75991 151982 227973 303964 455946 683919 911892 1367838 2735676 2811667 5623334 8435001 11246668 16870002 25305003 33740004 50610006 101220012