Search a number
-
+
10202121112110 = 235379191100101
BaseRepresentation
bin1001010001110101110111…
…0011100000101000101110
31100010022110100202121010120
42110131131303200220232
52314122421001041420
633410442325545410
72102036033425524
oct224353563405056
940108410677116
1010202121112110
113283771443134
1211892a5875266
13590095a47c05
14273adcbd4314
1512a5a96eed40
hex9475dce0a2e

10202121112110 has 32 divisors (see below), whose sum is σ = 25146849879072. Its totient is φ = 2647036828800.

The previous prime is 10202121112103. The next prime is 10202121112121. The reversal of 10202121112110 is 1121112120201.

It is a happy number.

10202121112110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202121112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595548941 + ... + 4595551160.

It is an arithmetic number, because the mean of its divisors is an integer number (785839058721).

Almost surely, 210202121112110 is an apocalyptic number.

10202121112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10202121112110 is an abundant number, since it is smaller than the sum of its proper divisors (14944728766962).

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

10202121112110 is a wasteful number, since it uses less digits than its factorization.

10202121112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9191100148.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10202121112110 its reverse (1121112120201), we get a palindrome (11323233232311).

The spelling of 10202121112110 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 9191100101 18382200202 27573300303 45955500505 55146600606 91911001010 137866501515 275733003030 340070703737 680141407474 1020212111211 1700353518685 2040424222422 3400707037370 5101060556055 10202121112110