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10200234420 = 22345311012011
BaseRepresentation
bin10010111111111101…
…10011100110110100
3222022212112121010000
421133332303212310
5131342230000140
64404054231300
7510525363525
oct113776634664
928285477100
1010200234420
114364848102
121b88055530
13c6732738c
146ca9a684c
153ea761a30
hex25ffb39b4

10200234420 has 240 divisors, whose sum is σ = 33374347776. Its totient is φ = 2604960000.

The previous prime is 10200234397. The next prime is 10200234433. The reversal of 10200234420 is 2443200201.

10200234420 is a `hidden beast` number, since 1 + 0 + 200 + 23 + 442 + 0 = 666.

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 = 10200234393 and 10200234402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5071215 + ... + 5073225.

Almost surely, 210200234420 is an apocalyptic number.

10200234420 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 10200234420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16687173888).

10200234420 is an abundant number, since it is smaller than the sum of its proper divisors (23174113356).

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

10200234420 is a wasteful number, since it uses less digits than its factorization.

10200234420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10200234420 its reverse (2443200201), we get a palindrome (12643434621).

The spelling of 10200234420 in words is "ten billion, two hundred million, two hundred thirty-four thousand, four hundred twenty".