Search a number
-
+
31310312113311 = 37112576536771193
BaseRepresentation
bin1110001111010000000000…
…00010000000010010011111
311002212020101111002211210220
413013220000002000102133
513100442004400111221
6150331431523132423
76411044502523110
oct707500002002237
9132766344084726
1031310312113311
119a816a0a25640
123618194214113
13146171baa338a
147a35da302207
153946be1b00c6
hex1c7a0008049f

31310312113311 has 128 divisors (see below), whose sum is σ = 52452078114816. Its totient is φ = 16139562516480.

The previous prime is 31310312113253. The next prime is 31310312113351. The reversal of 31310312113311 is 11331121301313.

It is not a de Polignac number, because 31310312113311 - 27 = 31310312113183 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31310312113351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26245022131 + ... + 26245023323.

It is an arithmetic number, because the mean of its divisors is an integer number (409781860272).

Almost surely, 231310312113311 is an apocalyptic number.

31310312113311 is a deficient number, since it is larger than the sum of its proper divisors (21141766001505).

31310312113311 is a wasteful number, since it uses less digits than its factorization.

31310312113311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 31310312113311 its reverse (11331121301313), we get a palindrome (42641433414624).

The spelling of 31310312113311 in words is "thirty-one trillion, three hundred ten billion, three hundred twelve million, one hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 11 21 33 77 231 257 653 677 771 1193 1799 1959 2031 2827 3579 4571 4739 5397 7183 7447 8351 8481 13123 13713 14217 19789 21549 22341 25053 39369 50281 52129 59367 91861 150843 156387 167821 173989 275583 306601 442081 503463 521967 779029 807661 919803 1174747 1217923 1326243 1846031 1913879 2146207 2337087 2422983 3094567 3372611 3524241 3653769 4862891 5453203 5538093 5653627 5741637 6438621 8569319 8884271 9283701 10117833 12922217 13397153 14588673 16359609 16960881 23608277 25707957 26652813 34040237 38766651 40191459 59985233 62189897 70824831 102120711 113614817 179955699 186569691 200210453 207568877 340844451 527402633 600631359 622706631 795303719 1249762987 1401473171 1452982139 1582207899 2202314983 2283257647 2385911157 3691818431 3749288961 4204419513 4358946417 5801428963 6606944949 6849772941 8748340909 11075455293 15416204881 15982803529 17404286889 26245022727 40610002741 46248614643 47948410587 121830008223 135542476681 406627430043 948797336767 1490967243491 2846392010301 4472901730473 10436770704437 31310312113311