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101041630211 = 2367509128819
BaseRepresentation
bin101111000011010001…
…1001110110000000011
3100122210202122122021102
41132012203032300003
53123413124131321
6114230132445015
710204622454164
oct1360643166003
9318722578242
10101041630211
1139940403315
12176ba77976b
1396b3564492
144c6752776b
1529658e0c0b
hex17868cec03

101041630211 has 16 divisors (see below), whose sum is σ = 107219462400. Its totient is φ = 95018217888.

The previous prime is 101041630201. The next prime is 101041630223. The reversal of 101041630211 is 112036140101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101041630211 - 218 = 101041368067 is a prime.

It is a super-2 number, since 2×1010416302112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101041630201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719960 + ... + 848778.

It is an arithmetic number, because the mean of its divisors is an integer number (6701216400).

Almost surely, 2101041630211 is an apocalyptic number.

101041630211 is a deficient number, since it is larger than the sum of its proper divisors (6177832189).

101041630211 is a wasteful number, since it uses less digits than its factorization.

101041630211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129418.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101041630211 its reverse (112036140101), we get a palindrome (213077770312).

The spelling of 101041630211 in words is "one hundred one billion, forty-one million, six hundred thirty thousand, two hundred eleven".

Divisors: 1 23 67 509 1541 11707 34103 128819 784369 2962837 8630873 65568871 198510079 1508084033 4393114357 101041630211