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101342142024 = 233172310799461
BaseRepresentation
bin101111001100001110…
…1100101111001001000
3100200120201010012222120
41132120131211321020
53130022042021044
6114320025451240
710215231665004
oct1363035457110
9320521105876
10101342142024
1139a84aa7292
1217783340b20
1397308b1216
144c953d1704
152981ea1519
hex1798765e48

101342142024 has 64 divisors (see below), whose sum is σ = 279922055040. Its totient is φ = 30411279360.

The previous prime is 101342141969. The next prime is 101342142073. The reversal of 101342142024 is 420241243101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101342141985 and 101342142003.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5390347 + ... + 5409114.

It is an arithmetic number, because the mean of its divisors is an integer number (4373782110).

Almost surely, 2101342142024 is an apocalyptic number.

It is an amenable number.

101342142024 is an abundant number, since it is smaller than the sum of its proper divisors (178579913016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101342142024 is a wasteful number, since it uses less digits than its factorization.

101342142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799510 (or 10799506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 101342142024 its reverse (420241243101), we get a palindrome (521583385125).

The spelling of 101342142024 in words is "one hundred one billion, three hundred forty-two million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 9384 10799461 21598922 32398383 43197844 64796766 86395688 129593532 183590837 248387603 259187064 367181674 496775206 550772511 734363348 745162809 993550412 1101545022 1468726696 1490325618 1987100824 2203090044 2980651236 4222589251 4406180088 5961302472 8445178502 12667767753 16890357004 25335535506 33780714008 50671071012 101342142024