Search a number
-
+
31115240400 = 2435225929367
BaseRepresentation
bin11100111110100111…
…001110001111010000
32222022110210222121010
4130332213032033100
51002211000143100
622143311330520
72151031115406
oct347647161720
988273728533
1031115240400
1112217818712
126044520a40
132c1b45096a
1417125d3476
15c219c0750
hex73e9ce3d0

31115240400 has 60 divisors (see below), whose sum is σ = 99672490592. Its totient is φ = 8297397120.

The previous prime is 31115240383. The next prime is 31115240447. The reversal of 31115240400 is 404251113.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12963484 + ... + 12965883.

Almost surely, 231115240400 is an apocalyptic number.

31115240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31115240400 is an abundant number, since it is smaller than the sum of its proper divisors (68557250192).

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

31115240400 is a wasteful number, since it uses less digits than its factorization.

31115240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25929388 (or 25929377 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 31115240400 its reverse (404251113), we get a palindrome (31519491513).

The spelling of 31115240400 in words is "thirty-one billion, one hundred fifteen million, two hundred forty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25929367 51858734 77788101 103717468 129646835 155576202 207434936 259293670 311152404 388940505 414869872 518587340 622304808 648234175 777881010 1037174680 1244609616 1296468350 1555762020 1944702525 2074349360 2592936700 3111524040 3889405050 5185873400 6223048080 7778810100 10371746800 15557620200 31115240400