Search a number
-
+
31220433312 = 2532331456119
BaseRepresentation
bin11101000100111000…
…100000000110100000
32222120210202100010220
4131010320200012200
51002414412331222
622201550123040
72153446206315
oct350470400640
988523670126
1031220433312
1112271136702
1260737b0480
132c37191ca3
141722576d0c
15c2ad4db5c
hex744e201a0

31220433312 has 96 divisors (see below), whose sum is σ = 88275640320. Its totient is φ = 9633212160.

The previous prime is 31220433311. The next prime is 31220433331. The reversal of 31220433312 is 21333402213.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (31220433311) 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, 159612 + ... + 296507.

It is an arithmetic number, because the mean of its divisors is an integer number (919537920).

Almost surely, 231220433312 is an apocalyptic number.

31220433312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31220433312 is an abundant number, since it is smaller than the sum of its proper divisors (57055207008).

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

31220433312 is a wasteful number, since it uses less digits than its factorization.

31220433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456186 (or 456178 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31220433312 its reverse (21333402213), we get a palindrome (52553835525).

The spelling of 31220433312 in words is "thirty-one billion, two hundred twenty million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1426 1488 2139 2208 2852 2976 4278 5704 8556 11408 17112 22816 34224 68448 456119 912238 1368357 1824476 2736714 3648952 5473428 7297904 10490737 10946856 14139689 14595808 20981474 21893712 28279378 31472211 41962948 42419067 43787424 56558756 62944422 83925896 84838134 113117512 125888844 167851792 169676268 226235024 251777688 325212847 335703584 339352536 452470048 503555376 650425694 678705072 975638541 1007110752 1300851388 1357410144 1951277082 2601702776 3902554164 5203405552 7805108328 10406811104 15610216656 31220433312