Search a number
-
+
10212112020 = 223511219101733
BaseRepresentation
bin10011000001011000…
…00111011010010100
3222100200220001010010
421200230013122110
5131403300041040
64405201000220
7511031343225
oct114054073224
928320801103
1010212112020
11437051aa00
121b90023070
13c69925746
146cc3b924c
153eb80ae80
hex260b07694

10212112020 has 288 divisors, whose sum is σ = 33457011840. Its totient is φ = 2318976000.

The previous prime is 10212112019. The next prime is 10212112021. The reversal of 10212112020 is 2021121201.

It is an interprime number because it is at equal distance from previous prime (10212112019) and next prime (10212112021).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10212111987 and 10212112005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212112021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13931574 + ... + 13932306.

It is an arithmetic number, because the mean of its divisors is an integer number (116170180).

Almost surely, 210212112020 is an apocalyptic number.

10212112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16728505920).

10212112020 is an abundant number, since it is smaller than the sum of its proper divisors (23244899820).

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

10212112020 is a wasteful number, since it uses less digits than its factorization.

10212112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212112020 its reverse (2021121201), we get a palindrome (12233233221).

The spelling of 10212112020 in words is "ten billion, two hundred twelve million, one hundred twelve thousand, twenty".