Search a number
-
+
10101000140 = 2257311243283
BaseRepresentation
bin10010110100001000…
…10000011111001100
3222001221210222021022
421122010100133030
5131141324001030
64350151253312
7505212041000
oct113204203714
928057728238
1010101000140
114313829a00
121b5a97a238
13c4c8c127a
146bb734700
153e1badde5
hex25a1107cc

10101000140 has 288 divisors, whose sum is σ = 27921062400. Its totient is φ = 3064279680.

The previous prime is 10101000139. The next prime is 10101000149. The reversal of 10101000140 is 4100010101.

It is not an unprimeable number, because it can be changed into a prime (10101000149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35692439 + ... + 35692721.

Almost surely, 210101000140 is an apocalyptic number.

10101000140 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 10101000140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13960531200).

10101000140 is an abundant number, since it is smaller than the sum of its proper divisors (17820062260).

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

10101000140 is a wasteful number, since it uses less digits than its factorization.

10101000140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101000140 its reverse (4100010101), we get a palindrome (14201010241).

The spelling of 10101000140 in words is "ten billion, one hundred one million, one hundred forty", and thus it is an aban number.