Search a number
-
+
10001212020 = 22335192933613
BaseRepresentation
bin10010101000001111…
…00110001001110100
3221211000001012201000
421110013212021310
5130440302241040
64332224403300
7502560620352
oct112407461164
927730035630
1010001212020
114272472688
121b31476530
13c35023047
146ac39a7d2
153d804c130
hex2541e6274

10001212020 has 192 divisors, whose sum is σ = 33882912000. Its totient is φ = 2439424512.

The previous prime is 10001211973. The next prime is 10001212057. The reversal of 10001212020 is 2021210001.

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 = 10001211993 and 10001212011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 280734 + ... + 314346.

It is an arithmetic number, because the mean of its divisors is an integer number (176473500).

Almost surely, 210001212020 is an apocalyptic number.

10001212020 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 10001212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16941456000).

10001212020 is an abundant number, since it is smaller than the sum of its proper divisors (23881699980).

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

10001212020 is a wasteful number, since it uses less digits than its factorization.

10001212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33679 (or 33671 counting only the distinct ones).

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

Adding to 10001212020 its reverse (2021210001), we get a palindrome (12022422021).

The spelling of 10001212020 in words is "ten billion, one million, two hundred twelve thousand, twenty".