Search a number
-
+
10123440236001 = 332926113495119
BaseRepresentation
bin1001001101010000110000…
…0011110010010111100001
31022211210100221210221221000
42103110030003302113201
52311330301200023001
633310351053422213
72063252200134261
oct223241403622741
938753327727830
1010123440236001
113253366106394
121175ba779a969
13585836cb57a1
1426dd973177a1
15128501e4ca86
hex9350c0f25e1

10123440236001 has 32 divisors (see below), whose sum is σ = 15515476416000. Its totient is φ = 6515974692864.

The previous prime is 10123440235933. The next prime is 10123440236081. The reversal of 10123440236001 is 10063204432101.

It is a happy number.

10123440236001 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 34 + 4 + 0 + 23 + 600 + 1 = 666.

It is not a de Polignac number, because 10123440236001 - 243 = 1327347213793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10123440236081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20198920 + ... + 20694038.

It is an arithmetic number, because the mean of its divisors is an integer number (484858638000).

Almost surely, 210123440236001 is an apocalyptic number.

It is an amenable number.

10123440236001 is a deficient number, since it is larger than the sum of its proper divisors (5392036179999).

10123440236001 is a wasteful number, since it uses less digits than its factorization.

10123440236001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521270 (or 521264 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10123440236001 its reverse (10063204432101), we get a palindrome (20186644668102).

The spelling of 10123440236001 in words is "ten trillion, one hundred twenty-three billion, four hundred forty million, two hundred thirty-six thousand, one".

Divisors: 1 3 9 27 29 87 261 783 26113 78339 235017 495119 705051 757277 1485357 2271831 4456071 6815493 13368213 14358451 20446479 43075353 129226059 387678177 12929042447 38787127341 116361382023 349084146069 374942230963 1124826692889 3374480078667 10123440236001