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101241134240301 = 32111022637719599
BaseRepresentation
bin10111000001010000001001…
…110101111101001000101101
3111021110120001201100112221200
4113001100021311331020231
5101232213320331142201
6555153311320520113
730216300454131156
oct2701201165751055
9437416051315850
10101241134240301
112a29313aa22890
12b431263020039
134464cc8791bc3
141b001503da92d
15ba87aa83d386
hex5c1409d7d22d

101241134240301 has 12 divisors (see below), whose sum is σ = 159531484257600. Its totient is φ = 61358263175880.

The previous prime is 101241134240273. The next prime is 101241134240417. The reversal of 101241134240301 is 103042431142101.

It is a happy number.

101241134240301 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 11 + 342 + 4 + 0 + 301 = 666.

It is not a de Polignac number, because 101241134240301 - 27 = 101241134240173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101241134240201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511318859701 + ... + 511318859898.

It is an arithmetic number, because the mean of its divisors is an integer number (13294290354800).

Almost surely, 2101241134240301 is an apocalyptic number.

101241134240301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101241134240301 is a deficient number, since it is larger than the sum of its proper divisors (58290350017299).

101241134240301 is a wasteful number, since it uses less digits than its factorization.

101241134240301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022637719616 (or 1022637719613 counting only the distinct ones).

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

Adding to 101241134240301 its reverse (103042431142101), we get a palindrome (204283565382402).

The spelling of 101241134240301 in words is "one hundred one trillion, two hundred forty-one billion, one hundred thirty-four million, two hundred forty thousand, three hundred one".

Divisors: 1 3 9 11 33 99 1022637719599 3067913158797 9203739476391 11249014915589 33747044746767 101241134240301