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10213122420 = 2232556739569
BaseRepresentation
bin10011000001011111…
…11110000101110100
3222100202210101010100
421200233332011310
5131404024404140
64405234354100
7511043052054
oct114057760564
928322711110
1010213122420
114371050046
121b9042b930
13c69bba607
146cc59d564
153eb95a530
hex260bfe174

10213122420 has 36 divisors (see below), whose sum is σ = 30979805220. Its totient is φ = 2723499264.

The previous prime is 10213122407. The next prime is 10213122433. The reversal of 10213122420 is 2422131201.

It is a happy number.

10213122420 is a `hidden beast` number, since 10 + 213 + 1 + 22 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (10213122407) and next prime (10213122433).

It can be written as a sum of positive squares in 2 ways, for example, as 3900502116 + 6312620304 = 62454^2 + 79452^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10213122393 and 10213122402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28369605 + ... + 28369964.

It is an arithmetic number, because the mean of its divisors is an integer number (860550145).

Almost surely, 210213122420 is an apocalyptic number.

10213122420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213122420 is an abundant number, since it is smaller than the sum of its proper divisors (20766682800).

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

10213122420 is a wasteful number, since it uses less digits than its factorization.

10213122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56739584 (or 56739579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10213122420 its reverse (2422131201), we get a palindrome (12635253621).

The spelling of 10213122420 in words is "ten billion, two hundred thirteen million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 56739569 113479138 170218707 226958276 283697845 340437414 510656121 567395690 680874828 851093535 1021312242 1134791380 1702187070 2042624484 2553280605 3404374140 5106561210 10213122420