Search a number
-
+
10142233000 = 235310142233
BaseRepresentation
bin10010111001000011…
…00011000110101000
3222011211101211010021
421130201203012220
5131232402424000
64354223130224
7506222362264
oct113441430650
928154354107
1010142233000
114335031849
121b70743974
13c582ca003
146c2dc90a4
153e560611a
hex25c8631a8

10142233000 has 32 divisors (see below), whose sum is σ = 23732827560. Its totient is φ = 4056892800.

The previous prime is 10142232979. The next prime is 10142233007. The reversal of 10142233000 is 33224101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3923017956 + 6219215044 = 62634^2 + 78862^2 .

It is a super-3 number, since 3×101422330003 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10142233007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5070117 + ... + 5072116.

Almost surely, 210142233000 is an apocalyptic number.

10142233000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142233000 is an abundant number, since it is smaller than the sum of its proper divisors (13590594560).

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

10142233000 is a wasteful number, since it uses less digits than its factorization.

10142233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10142254 (or 10142240 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10142233000 its reverse (33224101), we get a palindrome (10175457101).

The spelling of 10142233000 in words is "ten billion, one hundred forty-two million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10142233 20284466 40568932 50711165 81137864 101422330 202844660 253555825 405689320 507111650 1014223300 1267779125 2028446600 2535558250 5071116500 10142233000