Search a number
-
+
33431213112 = 233118911091283
BaseRepresentation
bin11111001000101001…
…111101010000111000
310012021212201120220020
4133020221331100320
51021431342304422
623205202530440
72262312423423
oct371051752070
9105255646806
1033431213112
11131a6059250
126590066a20
1331ca1c910b
14189201c9ba
15d09e9995c
hex7c8a7d438

33431213112 has 128 divisors (see below), whose sum is σ = 92355552000. Its totient is φ = 10000010240.

The previous prime is 33431213111. The next prime is 33431213117. The reversal of 33431213112 is 21131213433.

It is a super-2 number, since 2×334312131122 (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33431213111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26056423 + ... + 26057705.

It is an arithmetic number, because the mean of its divisors is an integer number (721527750).

Almost surely, 233431213112 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 33431213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46177776000).

33431213112 is an abundant number, since it is smaller than the sum of its proper divisors (58924338888).

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

33431213112 is a wasteful number, since it uses less digits than its factorization.

33431213112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2497 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

Adding to 33431213112 its reverse (21131213433), we get a palindrome (54562426545).

The spelling of 33431213112 in words is "thirty-three billion, four hundred thirty-one million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 89 132 178 264 267 356 534 712 979 1068 1109 1283 1958 2136 2218 2566 2937 3327 3849 3916 4436 5132 5874 6654 7698 7832 8872 10264 11748 12199 13308 14113 15396 23496 24398 26616 28226 30792 36597 42339 48796 56452 73194 84678 97592 98701 112904 114187 146388 169356 197402 228374 292776 296103 338712 342561 394804 456748 592206 685122 789608 913496 1085711 1184412 1256057 1370244 1422847 2171422 2368824 2512114 2740488 2845694 3257133 3768171 4268541 4342844 5024228 5691388 6514266 7536342 8537082 8685688 10048456 11382776 13028532 15072684 15651317 17074164 26057064 30145368 31302634 34148328 46953951 62605268 93907902 125210536 126633383 187815804 253266766 375631608 379900149 506533532 759800298 1013067064 1392967213 1519600596 2785934426 3039201192 4178901639 5571868852 8357803278 11143737704 16715606556 33431213112