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212331031000 = 235311173111577
BaseRepresentation
bin1100010110111111101…
…0100110100111011000
3202022001201021222000021
43011233322212213120
511434323220443000
6241313222520224
721224521661464
oct3055772464730
9668051258007
10212331031000
118205a371310
1235199296074
131703ac27b1a
14a3c3a6d4a4
1557cacd311a
hex316fea69d8

212331031000 has 128 divisors (see below), whose sum is σ = 545161181760. Its totient is φ = 76764288000.

The previous prime is 212331030973. The next prime is 212331031001. The reversal of 212331031000 is 130133212.

It is a super-2 number, since 2×2123310310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212331031001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1847212 + ... + 1958788.

Almost surely, 2212331031000 is an apocalyptic number.

212331031000 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 212331031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272580590880).

212331031000 is an abundant number, since it is smaller than the sum of its proper divisors (332830150760).

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

212331031000 is a wasteful number, since it uses less digits than its factorization.

212331031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111782 (or 111768 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 212331031000 its reverse (130133212), we get a palindrome (212461164212).

The spelling of 212331031000 in words is "two hundred twelve billion, three hundred thirty-one million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 173 200 220 250 275 346 440 500 550 692 865 1000 1100 1375 1384 1730 1903 2200 2750 3460 3806 4325 5500 6920 7612 8650 9515 11000 15224 17300 19030 21625 34600 38060 43250 47575 76120 86500 95150 111577 173000 190300 223154 237875 380600 446308 475750 557885 892616 951500 1115770 1227347 1903000 2231540 2454694 2789425 4463080 4909388 5578850 6136735 9818776 11157700 12273470 13947125 19302821 22315400 24546940 27894250 30683675 38605642 49093880 55788500 61367350 77211284 96514105 111577000 122734700 153418375 154422568 193028210 212331031 245469400 306836750 386056420 424662062 482570525 613673500 772112840 849324124 965141050 1061655155 1227347000 1698648248 1930282100 2123310310 2412852625 3860564200 4246620620 4825705250 5308275775 8493241240 9651410500 10616551550 19302821000 21233103100 26541378875 42466206200 53082757750 106165515500 212331031000