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242044001031 = 37193173268063
BaseRepresentation
bin1110000101101011110…
…0100101101100000111
3212010202110111020021210
43201122330211230013
512431201231013111
6303105442542503
723326035030330
oct3413274455407
9763673436253
10242044001031
119371758a498
123aab0067a33
1319a949b37b1
14ba01d1d287
1564696110a6
hex385af25b07

242044001031 has 64 divisors (see below), whose sum is σ = 406256353280. Its totient is φ = 125067006720.

The previous prime is 242044001029. The next prime is 242044001047. The reversal of 242044001031 is 130100440242.

It is not a de Polignac number, because 242044001031 - 21 = 242044001029 is a prime.

It is a super-2 number, since 2×2420440010312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242044000989 and 242044001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242044001081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768906 + ... + 1036968.

It is an arithmetic number, because the mean of its divisors is an integer number (6347755520).

Almost surely, 2242044001031 is an apocalyptic number.

242044001031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242044001031 is a deficient number, since it is larger than the sum of its proper divisors (164212352249).

242044001031 is a wasteful number, since it uses less digits than its factorization.

242044001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268196.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 242044001031 its reverse (130100440242), we get a palindrome (372144441273).

The spelling of 242044001031 in words is "two hundred forty-two billion, forty-four million, one thousand, thirty-one".

Divisors: 1 3 7 19 21 31 57 73 93 133 217 219 399 511 589 651 1387 1533 1767 2263 4123 4161 6789 9709 12369 15841 29127 42997 47523 128991 268063 300979 804189 902937 1876441 5093197 5629323 8309953 15279591 19568599 24929859 35652379 58169671 58705797 106957137 136980193 157889107 174509013 371803381 410940579 473667321 606626569 1105223749 1115410143 1819879707 2602623667 3315671247 4246385983 7807871001 11525904811 12739157949 34577714433 80681333677 242044001031