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211313302032 = 24372601149491
BaseRepresentation
bin1100010011001101000…
…0010001101000010000
3202012102210020222022210
43010303100101220100
511430232201131112
6241024225232120
721160353300600
oct3046320215020
9665383228283
10211313302032
1181687939498
1234b54492640
1316c08121131
14a328828c00
15576b79db3c
hex3133411a10

211313302032 has 120 divisors (see below), whose sum is σ = 636078892512. Its totient is φ = 60274368000.

The previous prime is 211313302021. The next prime is 211313302049. The reversal of 211313302032 is 230203313112.

It is a super-3 number, since 3×2113133020323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 1338807 + ... + 1488297.

Almost surely, 2211313302032 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 211313302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318039446256).

211313302032 is an abundant number, since it is smaller than the sum of its proper divisors (424765590480).

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

211313302032 is a wasteful number, since it uses less digits than its factorization.

211313302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150117 (or 150104 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 211313302032 its reverse (230203313112), we get a palindrome (441516615144).

The spelling of 211313302032 in words is "two hundred eleven billion, three hundred thirteen million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 601 784 1176 1202 1803 2352 2404 3606 4207 4808 7212 8414 9616 12621 14424 16828 25242 28848 29449 33656 50484 58898 67312 88347 100968 117796 149491 176694 201936 235592 298982 353388 448473 471184 597964 706776 896946 1046437 1195928 1413552 1793892 2092874 2391856 3139311 3587784 4185748 6278622 7175568 7325059 8371496 12557244 14650118 16742992 21975177 25114488 29300236 43950354 50228976 58600472 87900708 89844091 117200944 175801416 179688182 269532273 351602832 359376364 539064546 628908637 718752728 1078129092 1257817274 1437505456 1886725911 2156258184 2515634548 3773451822 4312516368 4402360459 5031269096 7546903644 8804720918 10062538192 13207081377 15093807288 17609441836 26414162754 30187614576 35218883672 52828325508 70437767344 105656651016 211313302032