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231213100 = 22528389313
BaseRepresentation
bin11011100100000…
…00100000101100
3121010001211202011
431302000200230
5433142304400
634535411004
75505164446
oct1562004054
9533054664
10231213100
11109571908
1265523a64
1338b954b1
14229c9496
15154728ba
hexdc8082c

231213100 has 72 divisors (see below), whose sum is σ = 515123280. Its totient is φ = 90055680.

The previous prime is 231213077. The next prime is 231213113. The reversal of 231213100 is 1312132.

231213100 = 1762 + 1772 + ... + 8872.

It is a super-2 number, since 2×2312131002 = 106918995223220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738544 + ... + 738856.

It is an arithmetic number, because the mean of its divisors is an integer number (7154490).

Almost surely, 2231213100 is an apocalyptic number.

231213100 is a gapful number since it is divisible by the number (20) 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 231213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257561640).

231213100 is an abundant number, since it is smaller than the sum of its proper divisors (283910180).

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

231213100 is a wasteful number, since it uses less digits than its factorization.

231213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 231213100 is about 15205.6930128160. The cubic root of 231213100 is about 613.7678638078.

Adding to 231213100 its reverse (1312132), we get a palindrome (232525232).

The spelling of 231213100 in words is "two hundred thirty-one million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 89 100 166 178 313 332 356 415 445 626 830 890 1252 1565 1660 1780 2075 2225 3130 4150 4450 6260 7387 7825 8300 8900 14774 15650 25979 27857 29548 31300 36935 51958 55714 73870 103916 111428 129895 139285 147740 184675 259790 278570 369350 519580 557140 649475 696425 738700 1298950 1392850 2312131 2597900 2785700 4624262 9248524 11560655 23121310 46242620 57803275 115606550 231213100