Search a number
-
+
31331212001320 = 235711431753134951
BaseRepresentation
bin1110001111110110111011…
…10000110000000000101000
311002221020100000221011100011
413013323131300300000220
513101312310233020240
6150345205440221304
76412414432611160
oct707733560600050
9132836300834304
1031331212001320
119a8a54640a860
12362024760a834
13146369ca3570a
147a461dd155a0
15394ee3e346ea
hex1c7eddc30028

31331212001320 has 256 divisors, whose sum is σ = 89986079969280. Its totient is φ = 9532954368000.

The previous prime is 31331212001263. The next prime is 31331212001333. The reversal of 31331212001320 is 2310021213313.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31331212001291 and 31331212001300.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 232099845 + ... + 232234795.

It is an arithmetic number, because the mean of its divisors is an integer number (351508124880).

Almost surely, 231331212001320 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 31331212001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44993039984640).

31331212001320 is an abundant number, since it is smaller than the sum of its proper divisors (58654867967960).

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

31331212001320 is a wasteful number, since it uses less digits than its factorization.

31331212001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136776 (or 136772 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 31331212001320 its reverse (2310021213313), we get a palindrome (33641233214633).

The spelling of 31331212001320 in words is "thirty-one trillion, three hundred thirty-one billion, two hundred twelve million, one thousand, three hundred twenty".