Search a number
-
+
20102112113031 = 33134110723130267
BaseRepresentation
bin1001001001000011000110…
…10000000111000110000111
32122011202001202102022022000
410210201203100013012013
510113323111200104111
6110430441031040343
74143221035454214
oct444414320070607
978152052368260
1020102112113031
1164502922549a3
122307b108100b3
13b2a80c5628b0
144d6d399dcb0b
1524cd7e72bc56
hex124863407187

20102112113031 has 64 divisors (see below), whose sum is σ = 32857299632640. Its totient is φ = 12067592129280.

The previous prime is 20102112112961. The next prime is 20102112113033. The reversal of 20102112113031 is 13031121120102.

It is not a de Polignac number, because 20102112113031 - 215 = 20102112080263 is a prime.

It is a super-2 number, since 2×201021121130312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102112112995 and 20102112113013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102112113033) 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, 154249560 + ... + 154379826.

It is an arithmetic number, because the mean of its divisors is an integer number (513395306760).

Almost surely, 220102112113031 is an apocalyptic number.

20102112113031 is a deficient number, since it is larger than the sum of its proper divisors (12755187519609).

20102112113031 is a wasteful number, since it uses less digits than its factorization.

20102112113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141053 (or 141047 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 20102112113031 its reverse (13031121120102), we get a palindrome (33133233233133).

The spelling of 20102112113031 in words is "twenty trillion, one hundred two billion, one hundred twelve million, one hundred thirteen thousand, thirty-one".

Divisors: 1 3 9 13 27 39 41 117 123 351 369 533 1107 1599 4797 10723 14391 32169 96507 130267 139399 289521 390801 418197 439643 1172403 1254591 1318929 1693471 3517209 3763773 3956787 5080413 5340947 5715359 11870361 15241239 16022841 17146077 45723717 48068523 51438231 69432311 144205569 154314693 208296933 624890799 1396853041 1874672397 4190559123 12571677369 18159089533 37715032107 54477268599 57270974681 163431805797 171812924043 490295417391 515438772129 744522670853 1546316316387 2233568012559 6700704037677 20102112113031