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211433400032 = 2561191567101
BaseRepresentation
bin1100010011101001101…
…0011010011011100000
3202012202011020120210212
43010322122122123200
511431003422300112
6241044155313252
721163342150541
oct3047232323340
9665664216725
10211433400032
1181739707938
1234b8874b828
1316c26c8083a
14a33a76c4c8
1557770c3522
hex313a69a6e0

211433400032 has 48 divisors (see below), whose sum is σ = 425299279104. Its totient is φ = 103439040000.

The previous prime is 211433400019. The next prime is 211433400047. The reversal of 211433400032 is 230004334112.

It is a junction number, because it is equal to n+sod(n) for n = 211433399980 and 211433400007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89282 + ... + 656382.

It is an arithmetic number, because the mean of its divisors is an integer number (8860401648).

Almost surely, 2211433400032 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 211433400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212649639552).

211433400032 is an abundant number, since it is smaller than the sum of its proper divisors (213865879072).

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

211433400032 is a wasteful number, since it uses less digits than its factorization.

211433400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567363 (or 567355 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 211433400032 its reverse (230004334112), we get a palindrome (441437734144).

The spelling of 211433400032 in words is "two hundred eleven billion, four hundred thirty-three million, four hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 61 122 191 244 382 488 764 976 1528 1952 3056 6112 11651 23302 46604 93208 186416 372832 567101 1134202 2268404 4536808 9073616 18147232 34593161 69186322 108316291 138372644 216632582 276745288 433265164 553490576 866530328 1106981152 1733060656 3466121312 6607293751 13214587502 26429175004 52858350008 105716700016 211433400032