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212020301100 = 223529716134517
BaseRepresentation
bin1100010101110101100…
…1010000110100101100
3202021021001121020201110
43011131121100310230
511433204144113400
6241222322512020
721214026552426
oct3053531206454
9667231536643
10212020301100
1181a0aa29343
1235111205610
1316cbb74118a
14a3946a5816
1557ad8a4e50
hex315d650d2c

212020301100 has 144 divisors (see below), whose sum is σ = 620291111328. Its totient is φ = 55908802560.

The previous prime is 212020301083. The next prime is 212020301131. The reversal of 212020301100 is 1103020212.

It is a super-2 number, since 2×2120203011002 (a number of 23 digits) contains 22 as substring.

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

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, 46936042 + ... + 46940558.

It is an arithmetic number, because the mean of its divisors is an integer number (4307577162).

Almost surely, 2212020301100 is an apocalyptic number.

212020301100 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 212020301100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310145555664).

212020301100 is an abundant number, since it is smaller than the sum of its proper divisors (408270810228).

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

212020301100 is a wasteful number, since it uses less digits than its factorization.

212020301100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6244 (or 6237 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 212020301100 its reverse (1103020212), we get a palindrome (213123321312).

The spelling of 212020301100 in words is "two hundred twelve billion, twenty million, three hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 970 1164 1455 1613 1940 2425 2910 3226 4517 4839 4850 5820 6452 7275 8065 9034 9678 9700 13551 14550 16130 18068 19356 22585 24195 27102 29100 32260 40325 45170 48390 54204 67755 80650 90340 96780 112925 120975 135510 156461 161300 225850 241950 271020 312922 338775 438149 451700 469383 483900 625844 677550 782305 876298 938766 1314447 1355100 1564610 1752596 1877532 2190745 2346915 2628894 3129220 3911525 4381490 4693830 5257788 6572235 7285921 7823050 8762980 9387660 10953725 11734575 13144470 14571842 15646100 21857763 21907450 23469150 26288940 29143684 32861175 36429605 43715526 43814900 46938300 65722350 72859210 87431052 109288815 131444700 145718420 182148025 218577630 364296050 437155260 546444075 706734337 728592100 1092888150 1413468674 2120203011 2185776300 2826937348 3533671685 4240406022 7067343370 8480812044 10601015055 14134686740 17668358425 21202030110 35336716850 42404060220 53005075275 70673433700 106010150550 212020301100