Search a number
-
+
1031112021401 = 711591577092039
BaseRepresentation
bin11110000000100110001…
…00001101010110011001
310122120110222011212102222
433000103010031112121
5113343204134141101
62105404125033425
7134331626366540
oct17002304152631
93576428155388
101031112021401
11368323945080
12147a053b5875
1376305b60267
1437c9843d157
151bc4cced01b
hexf01310d599

1031112021401 has 64 divisors (see below), whose sum is σ = 1318159872000. Its totient is φ = 783323723520.

The previous prime is 1031112021371. The next prime is 1031112021439. The reversal of 1031112021401 is 1041202111301.

It is not a de Polignac number, because 1031112021401 - 210 = 1031112020377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031112021401.

It is not an unprimeable number, because it can be changed into a prime (1031112021601) 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 63 ways as a sum of consecutive naturals, for example, 505693940 + ... + 505695978.

It is an arithmetic number, because the mean of its divisors is an integer number (20596248000).

Almost surely, 21031112021401 is an apocalyptic number.

1031112021401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031112021401 is a deficient number, since it is larger than the sum of its proper divisors (287047850599).

1031112021401 is a wasteful number, since it uses less digits than its factorization.

1031112021401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1031112021401 its reverse (1041202111301), we get a palindrome (2072314132702).

The spelling of 1031112021401 in words is "one trillion, thirty-one billion, one hundred twelve million, twenty-one thousand, four hundred one".

Divisors: 1 7 11 59 77 157 413 649 709 1099 1727 2039 4543 4963 7799 9263 12089 14273 22429 41831 54593 64841 101893 111313 120301 157003 292817 320123 460141 713251 779191 842107 1224443 1323311 1445651 2240861 3220987 3521353 6567467 8571101 9263177 10119557 15902161 18887257 24649471 45972269 72242137 85293409 111315127 132210799 207759827 226967207 505694959 597053863 938227499 1454318789 1588770449 2496639277 6567592493 13391065213 17476474939 93737456491 147301717343 1031112021401