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212102111100 = 2235211292216323
BaseRepresentation
bin1100010110001001000…
…1010101111101111100
3202021110202112121221110
43011202101111331330
511433341120023400
6241234404202020
721216042124515
oct3054221257574
9667422477843
10212102111100
1181a52126410
1235134699310
1317002686369
14a3a14bda0c
1557b5b64e50
hex3162455f7c

212102111100 has 144 divisors (see below), whose sum is σ = 692556923520. Its totient is φ = 49645612800.

The previous prime is 212102111063. The next prime is 212102111113. The reversal of 212102111100 is 1111201212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1012462 + ... + 1203861.

It is an arithmetic number, because the mean of its divisors is an integer number (4809423080).

Almost surely, 2212102111100 is an apocalyptic number.

212102111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102111100 is an abundant number, since it is smaller than the sum of its proper divisors (480454812420).

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

212102111100 is a wasteful number, since it uses less digits than its factorization.

212102111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216380 (or 2216373 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212102111100 its reverse (1111201212), we get a palindrome (213213312312).

The spelling of 212102111100 in words is "two hundred twelve billion, one hundred two million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 2216323 4432646 6648969 8865292 11081615 13297938 22163230 24379553 26595876 33244845 44326460 48759106 55408075 64273367 66489690 73138659 97518212 110816150 121897765 128546734 132979380 146277318 166224225 192820101 221632300 243795530 257093468 292554636 321366835 332448450 365693295 385640202 487591060 609488825 642733670 664896900 707007037 731386590 771280404 964100505 1218977650 1285467340 1414014074 1462773180 1606834175 1828466475 1928201010 2121021111 2437955300 2828028148 3213668350 3535035185 3656932950 3856402020 4242042222 4820502525 6427336700 7070070370 7313865900 8484084444 9641005050 10605105555 14140140740 17675175925 19282010100 21210211110 35350351850 42420422220 53025527775 70700703700 106051055550 212102111100