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101202143134041 = 339268140442243
BaseRepresentation
bin10111000000101011110101…
…110010101100000101011001
3111021022211102100201010111000
4113000223311302230011121
5101231043442120242131
6555123342302055213
730213420310162425
oct2700536562540531
9437284370633430
10101202143134041
112a278651512624
12b4257a0b7a509
1344614237419b1
141adc2d1c13b85
15ba77776e2ce6
hex5c0af5cac159

101202143134041 has 16 divisors (see below), whose sum is σ = 149930722336320. Its totient is φ = 67467365794080.

The previous prime is 101202143133983. The next prime is 101202143134061. The reversal of 101202143134041 is 140431341202101.

It is a happy number.

101202143134041 is a `hidden beast` number, since 1 + 0 + 1 + 202 + 1 + 43 + 13 + 404 + 1 = 666.

It is not a de Polignac number, because 101202143134041 - 219 = 101202142609753 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101202143133996 and 101202143134014.

It is not an unprimeable number, because it can be changed into a prime (101202143134061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17718735 + ... + 22723508.

It is an arithmetic number, because the mean of its divisors is an integer number (9370670146020).

Almost surely, 2101202143134041 is an apocalyptic number.

It is an amenable number.

101202143134041 is a deficient number, since it is larger than the sum of its proper divisors (48728579202279).

101202143134041 is an equidigital number, since it uses as much as digits as its factorization.

101202143134041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40534933 (or 40534927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 101202143134041 its reverse (140431341202101), we get a palindrome (241633484336142).

The spelling of 101202143134041 in words is "one hundred one trillion, two hundred two billion, one hundred forty-three million, one hundred thirty-four thousand, forty-one".

Divisors: 1 3 9 27 92681 278043 834129 2502387 40442243 121326729 363980187 1091940561 3748227523483 11244682570449 33734047711347 101202143134041