Search a number
-
+
31303101331032 = 2339744932992733
BaseRepresentation
bin1110001111000010100100…
…01111000011011001011000
311002211112202221202011002120
413013201102033003121120
513100332222420043112
6150324240215101240
76410401014061206
oct707412217033130
9132745687664076
1031303101331032
119a796306a4143
123616901371820
131460b3cc094bb
147a3114798076
153943eb10be8c
hex1c78523c3658

31303101331032 has 64 divisors (see below), whose sum is σ = 79082157984480. Its totient is φ = 10324494446592.

The previous prime is 31303101330997. The next prime is 31303101331039. The reversal of 31303101331032 is 23013310130313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31303101330993 and 31303101331011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31303101331039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8963338 + ... + 11956070.

Almost surely, 231303101331032 is an apocalyptic number.

It is an amenable number.

31303101331032 is an abundant number, since it is smaller than the sum of its proper divisors (47779056653448).

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

31303101331032 is a wasteful number, since it uses less digits than its factorization.

31303101331032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997332 (or 2997328 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 31303101331032 its reverse (23013310130313), we get a palindrome (54316411461345).

The spelling of 31303101331032 in words is "thirty-one trillion, three hundred three billion, one hundred one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 97 194 291 388 582 776 1164 2328 4493 8986 13479 17972 26958 35944 53916 107832 435821 871642 1307463 1743284 2614926 2992733 3486568 5229852 5985466 8978199 10459704 11970932 17956398 23941864 35912796 71825592 290295101 580590202 870885303 1161180404 1741770606 2322360808 3483541212 6967082424 13446349369 26892698738 40339048107 53785397476 80678096214 107570794952 161356192428 322712384856 1304295888793 2608591777586 3912887666379 5217183555172 7825775332758 10434367110344 15651550665516 31303101331032