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211300230032 = 241783891031021
BaseRepresentation
bin1100010011001001111…
…0011010001110010000
3202012101212122211220122
43010302132122032100
511430220324330112
6241023041125412
721160134215033
oct3046236321620
9665355584818
10211300230032
1181680520291
1234b50029868
1316c054c5218
14a326bc501a
15576a56a872
hex313279a390

211300230032 has 160 divisors (see below), whose sum is σ = 448373802240. Its totient is φ = 96096337920.

The previous prime is 211300230019. The next prime is 211300230061. The reversal of 211300230032 is 230032003112.

It is a super-2 number, since 2×2113002300322 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206953682 + ... + 206954702.

It is an arithmetic number, because the mean of its divisors is an integer number (2802336264).

Almost surely, 2211300230032 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 211300230032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224186901120).

211300230032 is an abundant number, since it is smaller than the sum of its proper divisors (237073572208).

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

211300230032 is a wasteful number, since it uses less digits than its factorization.

211300230032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 211300230032 its reverse (230032003112), we get a palindrome (441332233144).

The spelling of 211300230032 in words is "two hundred eleven billion, three hundred million, two hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 16 17 34 68 83 89 103 136 166 178 206 272 332 356 412 664 712 824 1021 1328 1411 1424 1513 1648 1751 2042 2822 3026 3502 4084 5644 6052 7004 7387 8168 8549 9167 11288 12104 14008 14774 16336 17098 17357 18334 22576 24208 28016 29548 34196 34714 36668 59096 68392 69428 73336 84743 90869 105163 118192 125579 136784 138856 145333 146672 155839 169486 181738 210326 251158 277712 290666 311678 338972 363476 420652 502316 581332 623356 677944 726952 760861 841304 1004632 1162664 1246712 1355888 1440631 1453904 1521722 1544773 1682608 1787771 2009264 2325328 2493424 2881262 3043444 3089546 3575542 5762524 6086888 6179092 7151084 7542127 8728529 9359507 11525048 12173776 12358184 12934637 14302168 15084254 17457058 18719014 23050096 24716368 25869274 28604336 30168508 34914116 37438028 51738548 60337016 69828232 74876056 103477096 120674032 128216159 139656464 148384993 149752112 159111619 206954192 256432318 296769986 318223238 512864636 593539972 636446476 776839081 1025729272 1187079944 1272892952 1553678162 2051458544 2374159888 2545785904 3107356324 6214712648 12429425296 13206264377 26412528754 52825057508 105650115016 211300230032