Search a number
-
+
10152411311263 = 1331374729143977
BaseRepresentation
bin1001001110111100101011…
…0111101010110010011111
31022221120011000000001220111
42103233022313222302133
52312314114243430023
633331541532230451
72065326134202454
oct223571267526237
938846130001814
1010152411311263
11326468256aaa1
12117b73200b427
135884a3153c80
14271544c4582b
1512914a58000d
hex93bcadeac9f

10152411311263 has 32 divisors (see below), whose sum is σ = 11593615362560. Its totient is φ = 8822112122880.

The previous prime is 10152411311213. The next prime is 10152411311309. The reversal of 10152411311263 is 36211311425101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10152411311263 - 237 = 10014972357791 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152411311213) 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, 70442131 + ... + 70586107.

It is an arithmetic number, because the mean of its divisors is an integer number (362300480080).

Almost surely, 210152411311263 is an apocalyptic number.

10152411311263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10152411311263 is a deficient number, since it is larger than the sum of its proper divisors (1441204051297).

10152411311263 is a wasteful number, since it uses less digits than its factorization.

10152411311263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148787.

The product of its (nonzero) digits is 4320, while the sum is 31.

Adding to 10152411311263 its reverse (36211311425101), we get a palindrome (46363722736364).

The spelling of 10152411311263 in words is "ten trillion, one hundred fifty-two billion, four hundred eleven million, three hundred eleven thousand, two hundred sixty-three".

Divisors: 1 13 31 37 403 481 1147 4729 14911 61477 143977 146599 174973 1871701 1905787 2274649 4463287 5327149 5424163 58022731 69252937 70514119 165141619 680867233 2146841047 8851274029 21106884223 25192087621 274389494899 327497139073 780954716251 10152411311263