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2100214012 = 2213416131607
BaseRepresentation
bin111110100101110…
…1011100011111100
312102100220221000011
41331023223203330
513300123322022
6544222513004
7103021344631
oct17513534374
95370827004
102100214012
11988574966
124a7435764
132761643b0
1415cd04188
15c45aa977
hex7d2eb8fc

2100214012 has 48 divisors (see below), whose sum is σ = 4063776192. Its totient is φ = 943557120.

The previous prime is 2100213979. The next prime is 2100214013. The reversal of 2100214012 is 2104120012.

It is a happy number.

It is a super-2 number, since 2×21002140122 = 8821797792402272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2100213983 and 2100214001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100214013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306113 + ... + 1307719.

It is an arithmetic number, because the mean of its divisors is an integer number (84662004).

Almost surely, 22100214012 is an apocalyptic number.

It is an amenable number.

2100214012 is a deficient number, since it is larger than the sum of its proper divisors (1963562180).

2100214012 is a wasteful number, since it uses less digits than its factorization.

2100214012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2276 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2100214012 is about 45828.0919524259. The cubic root of 2100214012 is about 1280.6226649873.

Adding to 2100214012 its reverse (2104120012), we get a palindrome (4204334024).

The spelling of 2100214012 in words is "two billion, one hundred million, two hundred fourteen thousand, twelve".

Divisors: 1 2 4 13 26 41 52 82 164 533 613 1066 1226 1607 2132 2452 3214 6428 7969 15938 20891 25133 31876 41782 50266 65887 83564 100532 131774 263548 326729 653458 856531 985091 1306916 1713062 1970182 3426124 3940364 12806183 25612366 40388731 51224732 80777462 161554924 525053503 1050107006 2100214012