Search a number
-
+
10400441331 = 371988729387
BaseRepresentation
bin10011010111110101…
…00010001111110011
3222211211021011100210
421223322202033303
5132300003110311
64440005315203
7515506202250
oct115372421763
928754234323
1010400441331
114457861565
122023105b03
13c999548c7
14709400427
1540d10c3a6
hex26bea23f3

10400441331 has 32 divisors (see below), whose sum is σ = 16701788160. Its totient is φ = 5623775136.

The previous prime is 10400441297. The next prime is 10400441383. The reversal of 10400441331 is 13314400401.

It is not a de Polignac number, because 10400441331 - 222 = 10396247027 is a prime.

It is a super-2 number, since 2×104004413312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10400441298 and 10400441307.

It is not an unprimeable number, because it can be changed into a prime (10400441431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 339220 + ... + 368606.

It is an arithmetic number, because the mean of its divisors is an integer number (521930880).

Almost surely, 210400441331 is an apocalyptic number.

10400441331 is a deficient number, since it is larger than the sum of its proper divisors (6301346829).

10400441331 is a wasteful number, since it uses less digits than its factorization.

10400441331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30303.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10400441331 its reverse (13314400401), we get a palindrome (23714841732).

The spelling of 10400441331 in words is "ten billion, four hundred million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 887 2661 6209 16853 18627 29387 50559 88161 117971 205709 353913 558353 617127 1675059 3908471 11725413 26066269 78198807 182463883 495259111 547391649 1485777333 3466813777 10400441331