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212203013100 = 2235213352715427
BaseRepresentation
bin1100010110100001001…
…0010000001111101100
3202021201210101222110120
43011220102100033230
511434042432404400
6241252411004540
721221405564451
oct3055022201754
9667653358416
10212203013100
1181aa40835a1
1235162439750
131701a5545a0
14a3b0a67828
1557be946ca0
hex31684903ec

212203013100 has 144 divisors (see below), whose sum is σ = 661433165568. Its totient is φ = 52216392960.

The previous prime is 212203013093. The next prime is 212203013119. The reversal of 212203013100 is 1310302212.

It is a super-2 number, since 2×2122030131002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212203013100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13747587 + ... + 13763013.

It is an arithmetic number, because the mean of its divisors is an integer number (4593285872).

Almost surely, 2212203013100 is an apocalyptic number.

212203013100 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 212203013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330716582784).

212203013100 is an abundant number, since it is smaller than the sum of its proper divisors (449230152468).

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

212203013100 is a wasteful number, since it uses less digits than its factorization.

212203013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18984 (or 18977 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 212203013100 its reverse (1310302212), we get a palindrome (213513315312).

The spelling of 212203013100 in words is "two hundred twelve billion, two hundred three million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3527 3900 7054 10581 14108 15427 17635 21162 30854 35270 42324 45851 46281 52905 61708 70540 77135 88175 91702 92562 105810 137553 154270 176350 183404 185124 200551 211620 229255 231405 264525 275106 308540 352700 385675 401102 458510 462810 529050 550212 601653 687765 771350 802204 917020 925620 1002755 1058100 1146275 1157025 1203306 1375530 1542700 2005510 2292550 2314050 2406612 2751060 3008265 3438825 4011020 4585100 4628100 5013775 6016530 6877650 10027550 12033060 13755300 15041325 20055100 30082650 54411029 60165300 108822058 163233087 217644116 272055145 326466174 544110290 652932348 707343377 816165435 1088220580 1360275725 1414686754 1632330870 2122030131 2720551450 2829373508 3264661740 3536716885 4080827175 4244060262 5441102900 7073433770 8161654350 8488120524 10610150655 14146867540 16323308700 17683584425 21220301310 35367168850 42440602620 53050753275 70734337700 106101506550 212203013100