Search a number
-
+
31103313112332 = 22331493473955639
BaseRepresentation
bin1110001001001110011011…
…11011011110110100001100
311002010110002100222001221000
413010213031323132310030
513034044041124043312
6150052355332140300
76360066044200326
oct704471573366414
9132113070861830
1031103313112332
119a0192843240a
1235a4044767690
13144805073ac06
147975a0884616
1538e10656cadc
hex1c49cdeded0c

31103313112332 has 96 divisors (see below), whose sum is σ = 81183211200000. Its totient is φ = 10297707152832.

The previous prime is 31103313112331. The next prime is 31103313112363. The reversal of 31103313112332 is 23321131330113.

31103313112332 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 3 + 313 + 1 + 12 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31103313112296 and 31103313112305.

It is not an unprimeable number, because it can be changed into a prime (31103313112331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558992169 + ... + 559047807.

It is an arithmetic number, because the mean of its divisors is an integer number (845658450000).

Almost surely, 231103313112332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31103313112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40591605600000).

31103313112332 is an abundant number, since it is smaller than the sum of its proper divisors (50079898087668).

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

31103313112332 is a wasteful number, since it uses less digits than its factorization.

31103313112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90540 (or 90532 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 31103313112332 its reverse (23321131330113), we get a palindrome (54424444442445).

The spelling of 31103313112332 in words is "thirty-one trillion, one hundred three billion, three hundred thirteen million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 8046 16092 34739 55639 69478 104217 111278 138956 166917 208434 222556 312651 333834 416868 500751 625302 667668 937953 1001502 1250604 1502253 1875906 2003004 3004506 3751812 5176111 6009012 8290211 10352222 15528333 16580422 20704444 24870633 31056666 33160844 46584999 49741266 62113332 74611899 93169998 99482532 139754997 149223798 186339996 223835697 279509994 298447596 447671394 559019988 895342788 1932843221 3865686442 5798529663 7731372884 11597059326 17395588989 23194118652 34791177978 52186766967 69582355956 104373533934 208747067868 287993639929 575987279858 863980919787 1151974559716 1727961839574 2591942759361 3455923679148 5183885518722 7775828278083 10367771037444 15551656556166 31103313112332