Search a number
-
+
31012224240 = 2435229564269
BaseRepresentation
bin11100111000011110…
…001111110011110000
32222001021222012222210
4130320132033303300
51002003112133430
622125151332120
72145340361634
oct347036176360
988037865883
1031012224240
1112174657098
126015b21040
132c02cc235a
141702a58dc4
15c179222b0
hex73878fcf0

31012224240 has 80 divisors (see below), whose sum is σ = 96557882400. Its totient is φ = 8233798656.

The previous prime is 31012224239. The next prime is 31012224263. The reversal of 31012224240 is 4242221013.

It is a tau number, because it is divible by the number of its divisors (80).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227175 + ... + 337094.

It is an arithmetic number, because the mean of its divisors is an integer number (1206973530).

Almost surely, 231012224240 is an apocalyptic number.

31012224240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31012224240 is an abundant number, since it is smaller than the sum of its proper divisors (65545658160).

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

31012224240 is a wasteful number, since it uses less digits than its factorization.

31012224240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564514 (or 564508 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 31012224240 its reverse (4242221013), we get a palindrome (35254445253).

The spelling of 31012224240 in words is "thirty-one billion, twelve million, two hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 1145 1374 1832 2290 2748 3435 3664 4580 5496 6870 9160 10992 13740 18320 27480 54960 564269 1128538 1692807 2257076 2821345 3385614 4514152 5642690 6771228 8464035 9028304 11285380 13542456 16928070 22570760 27084912 33856140 45141520 67712280 129217601 135424560 258435202 387652803 516870404 646088005 775305606 1033740808 1292176010 1550611212 1938264015 2067481616 2584352020 3101222424 3876528030 5168704040 6202444848 7753056060 10337408080 15506112120 31012224240