Search a number
-
+
20204111312 = 24711172813433
BaseRepresentation
bin10010110100010000…
…100100010111010000
31221011001121012022222
4102310100210113100
5312334223030222
613140500120212
71313451053420
oct226420442720
957131535288
1020204111312
11862876a960
123aba396068
131b9ca71368
14d99458480
157d3b38542
hex4b44245d0

20204111312 has 160 divisors (see below), whose sum is σ = 51874608384. Its totient is φ = 7380172800.

The previous prime is 20204111309. The next prime is 20204111321. The reversal of 20204111312 is 21311140202.

It is a super-2 number, since 2×202041113122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5883548 + ... + 5886980.

Almost surely, 220204111312 is an apocalyptic number.

20204111312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20204111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25937304192).

20204111312 is an abundant number, since it is smaller than the sum of its proper divisors (31670497072).

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

20204111312 is a wasteful number, since it uses less digits than its factorization.

20204111312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 20204111312 its reverse (21311140202), we get a palindrome (41515251514).

The spelling of 20204111312 in words is "twenty billion, two hundred four million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 281 308 374 476 562 616 748 952 1124 1232 1309 1496 1904 1967 2248 2618 2992 3091 3433 3934 4496 4777 5236 6182 6866 7868 9554 10472 12364 13732 15736 19108 20944 21637 24031 24728 27464 31472 33439 37763 38216 43274 48062 49456 52547 54928 58361 66878 75526 76432 86548 96124 105094 116722 133756 151052 173096 192248 210188 233444 264341 267512 302104 346192 367829 384496 408527 420376 466888 528682 535024 604208 641971 735658 817054 840752 933776 964673 1057364 1283942 1471316 1634108 1929346 2114728 2567884 2942632 3268216 3858692 4229456 4493797 5135768 5885264 6536432 6752711 7717384 8987594 10271536 10611403 13505422 15434768 16399441 17975188 21222806 27010844 32798882 35950376 42445612 54021688 65597764 71900752 74279821 84891224 108043376 114796087 131195528 148559642 169782448 180393851 229592174 262391056 297119284 360787702 459184348 594238568 721575404 918368696 1188477136 1262756957 1443150808 1836737392 2525513914 2886301616 5051027828 10102055656 20204111312