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212021123232 = 25331148747911
BaseRepresentation
bin1100010101110101110…
…0011001100010100000
3202021021010011000110210
43011131130121202200
511433204401420412
6241222352254120
721214036545342
oct3053534314240
9667233130423
10212021123232
1181a1043aa96
1235111541340
1316cbb96b449
14a39483b292
1557ad9b883c
hex315d7198a0

212021123232 has 96 divisors (see below), whose sum is σ = 574907203584. Its totient is φ = 68346489600.

The previous prime is 212021123231. The next prime is 212021123239. The reversal of 212021123232 is 232321120212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 212021123199 and 212021123208.

It is not an unprimeable number, because it can be changed into a prime (212021123231) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4401357 + ... + 4449267.

It is an arithmetic number, because the mean of its divisors is an integer number (5988616704).

Almost surely, 2212021123232 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 212021123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287453601792).

212021123232 is an abundant number, since it is smaller than the sum of its proper divisors (362886080352).

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

212021123232 is a wasteful number, since it uses less digits than its factorization.

212021123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49442 (or 49434 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 212021123232 its reverse (232321120212), we get a palindrome (444342243444).

The spelling of 212021123232 in words is "two hundred twelve billion, twenty-one million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1487 1488 2974 2976 4461 5948 8922 11896 17844 23792 35688 46097 47584 47911 71376 92194 95822 138291 142752 143733 184388 191644 276582 287466 368776 383288 553164 574932 737552 766576 1106328 1149864 1475104 1485241 1533152 2212656 2299728 2970482 4425312 4455723 4599456 5940964 8911446 11881928 17822892 23763856 35645784 47527712 71243657 71291568 142487314 142583136 213730971 284974628 427461942 569949256 854923884 1139898512 1709847768 2208553367 2279797024 3419695536 4417106734 6625660101 6839391072 8834213468 13251320202 17668426936 26502640404 35336853872 53005280808 70673707744 106010561616 212021123232