Search a number
-
+
10214204120 = 235313815831
BaseRepresentation
bin10011000001101000…
…00110001011011000
3222100211211022221022
421200310012023120
5131404314012440
64405313502012
7511055205521
oct114064061330
928324738838
1010214204120
11437171980a
121b90871908
13c6a1a8a83
146cc7a1848
153ebac0cb5
hex260d062d8

10214204120 has 32 divisors (see below), whose sum is σ = 23055412320. Its totient is φ = 4072623360.

The previous prime is 10214204051. The next prime is 10214204123. The reversal of 10214204120 is 2140241201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214204123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395396 + ... + 420435.

It is an arithmetic number, because the mean of its divisors is an integer number (720481635).

Almost surely, 210214204120 is an apocalyptic number.

10214204120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10214204120 is an abundant number, since it is smaller than the sum of its proper divisors (12841208200).

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

10214204120 is a wasteful number, since it uses less digits than its factorization.

10214204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816155 (or 816151 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10214204120 its reverse (2140241201), we get a palindrome (12354445321).

The spelling of 10214204120 in words is "ten billion, two hundred fourteen million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 313 626 1252 1565 2504 3130 6260 12520 815831 1631662 3263324 4079155 6526648 8158310 16316620 32633240 255355103 510710206 1021420412 1276775515 2042840824 2553551030 5107102060 10214204120