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101232310422441 = 31119770229221729
BaseRepresentation
bin10111000001000111111011…
…111001110000101110101001
3111021102201021202210011101210
4113001013323321300232221
5101232042232432004231
6555145251551503333
730215536010664522
oct2701077371605651
9437381252704353
10101232310422441
112a28a422126930
12b42b5bbb27b49
134464220679ac3
141add954567849
15ba8440d63a46
hex5c11fbe70ba9

101232310422441 has 32 divisors (see below), whose sum is σ = 147997218441600. Its totient is φ = 61040334817280.

The previous prime is 101232310422407. The next prime is 101232310422449. The reversal of 101232310422441 is 144224013232101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101232310422441 - 230 = 101231236680617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101232310422399 and 101232310422408.

It is not an unprimeable number, because it can be changed into a prime (101232310422449) 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, 456447865 + ... + 456669593.

It is an arithmetic number, because the mean of its divisors is an integer number (4624913076300).

Almost surely, 2101232310422441 is an apocalyptic number.

101232310422441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101232310422441 is a deficient number, since it is larger than the sum of its proper divisors (46764908019159).

101232310422441 is a wasteful number, since it uses less digits than its factorization.

101232310422441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292169.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 101232310422441 its reverse (144224013232101), we get a palindrome (245456323654542).

The spelling of 101232310422441 in words is "one hundred one trillion, two hundred thirty-two billion, three hundred ten million, four hundred twenty-two thousand, four hundred forty-one".

Divisors: 1 3 11 33 197 591 2167 6501 70229 210687 221729 665187 772519 2317557 2439019 7317057 13835113 41505339 43680613 131041839 152186243 456558729 480486743 1441460229 15571805941 46715417823 171289865351 513869596053 3067645770377 9202937311131 33744103474147 101232310422441