Search a number
-
+
2100102012 = 223319445389
BaseRepresentation
bin111110100101101…
…0000001101111100
312102100201020101000
41331023100031330
513300111231022
6544220250300
7103020400251
oct17513201574
95370636330
102100102012
119884a87a8
124a73a0990
13276125418
1415ccb5428
15c45876ac
hex7d2d037c

2100102012 has 24 divisors (see below), whose sum is σ = 5444709200. Its totient is φ = 700033968.

The previous prime is 2100102007. The next prime is 2100102013. The reversal of 2100102012 is 2102010012.

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 = 2100101985 and 2100102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9722587 + ... + 9722802.

Almost surely, 22100102012 is an apocalyptic number.

It is an amenable number.

2100102012 is an abundant number, since it is smaller than the sum of its proper divisors (3344607188).

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

2100102012 is a wasteful number, since it uses less digits than its factorization.

2100102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19445402 (or 19445394 counting only the distinct ones).

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

The square root of 2100102012 is about 45826.8699782126. The cubic root of 2100102012 is about 1280.5999002774.

Adding to 2100102012 its reverse (2102010012), we get a palindrome (4202112024).

The spelling of 2100102012 in words is "two billion, one hundred million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 19445389 38890778 58336167 77781556 116672334 175008501 233344668 350017002 525025503 700034004 1050051006 2100102012