Search a number
-
+
10154133220 = 2257116593593
BaseRepresentation
bin10010111010011101…
…11100011011100100
3222012122210102011011
421131032330123210
5131243424230340
64355330152004
7506425464640
oct113516743344
928178712134
1010154133220
11434081a640
121b74722604
13c5a90576a
146c4805c20
153e66a70ea
hex25d3bc6e4

10154133220 has 48 divisors (see below), whose sum is σ = 26585371008. Its totient is φ = 3164924160.

The previous prime is 10154133217. The next prime is 10154133247. The reversal of 10154133220 is 2233145101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10154133191 and 10154133200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3295257 + ... + 3298336.

It is an arithmetic number, because the mean of its divisors is an integer number (553861896).

Almost surely, 210154133220 is an apocalyptic number.

10154133220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10154133220 is an abundant number, since it is smaller than the sum of its proper divisors (16431237788).

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

10154133220 is a wasteful number, since it uses less digits than its factorization.

10154133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6593620 (or 6593618 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 10154133220 its reverse (2233145101), we get a palindrome (12387278321).

The spelling of 10154133220 in words is "ten billion, one hundred fifty-four million, one hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 6593593 13187186 26374372 32967965 46155151 65935930 72529523 92310302 131871860 145059046 184620604 230775755 290118092 362647615 461551510 507706661 725295230 923103020 1015413322 1450590460 2030826644 2538533305 5077066610 10154133220