Search a number
-
+
101020104 = 23321403057
BaseRepresentation
bin1100000010101…
…11000111001000
321001002100112100
412001113013020
5201330120404
614005113400
72334441153
oct601270710
9231070470
10101020104
1152028999
12299b8860
1317c0cc13
14d5b8c9a
158d06d39
hex60571c8

101020104 has 24 divisors (see below), whose sum is σ = 273596310. Its totient is φ = 33673344.

The previous prime is 101020097. The next prime is 101020111. The reversal of 101020104 is 401020101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101020097) and next prime (101020111).

It can be written as a sum of positive squares in only one way, i.e., 100040004 + 980100 = 10002^2 + 990^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×1010201042 = 20410122824341632, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 701457 + ... + 701600.

Almost surely, 2101020104 is an apocalyptic number.

It is an amenable number.

101020104 is an abundant number, since it is smaller than the sum of its proper divisors (172576206).

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

101020104 is a wasteful number, since it uses less digits than its factorization.

101020104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403069 (or 1403062 counting only the distinct ones).

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

The square root of 101020104 is about 10050.8757827365. The cubic root of 101020104 is about 465.7318479117.

Adding to 101020104 its reverse (401020101), we get a palindrome (502040205).

It can be divided in two parts, 101020 and 104, that added together give a square (101124 = 3182).

The spelling of 101020104 in words is "one hundred one million, twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1403057 2806114 4209171 5612228 8418342 11224456 12627513 16836684 25255026 33673368 50510052 101020104