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212021110680 = 233517234518779
BaseRepresentation
bin1100010101110101110…
…0010110011110011000
3202021021010010101020220
43011131130112132120
511433204401020210
6241222352120040
721214036463631
oct3053534263630
9667233111226
10212021110680
1181a10431615
1235111536020
1316cbb965812
14a394836888
1557ad9b4c70
hex315d716798

212021110680 has 128 divisors (see below), whose sum is σ = 702760665600. Its totient is φ = 50899515392.

The previous prime is 212021110621. The next prime is 212021110681. The reversal of 212021110680 is 86011120212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 212021110680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212021110681) 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, 2212470 + ... + 2306309.

It is an arithmetic number, because the mean of its divisors is an integer number (5490317700).

Almost surely, 2212021110680 is an apocalyptic number.

212021110680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212021110680 is an abundant number, since it is smaller than the sum of its proper divisors (490739554920).

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

212021110680 is a wasteful number, since it uses less digits than its factorization.

212021110680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518833 (or 4518829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 212021110680 its reverse (86011120212), we get a palindrome (298032230892).

The spelling of 212021110680 in words is "two hundred twelve billion, twenty-one million, one hundred ten thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 46920 4518779 9037558 13556337 18075116 22593895 27112674 36150232 45187790 54225348 67781685 76819243 90375580 103931917 108450696 135563370 153638486 180751160 207863834 230457729 271126740 307276972 311795751 384096215 415727668 460915458 519659585 542253480 614553944 623591502 768192430 831455336 921830916 1039319170 1152288645 1247183004 1536384860 1558978755 1766842589 1843661832 2078638340 2304577290 2494366008 3072769720 3117957510 3533685178 4157276680 4609154580 5300527767 6235915020 7067370356 8834212945 9218309160 10601055534 12471830040 14134740712 17668425890 21202111068 26502638835 35336851780 42404222136 53005277670 70673703560 106010555340 212021110680