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212120300304 = 243211797168023
BaseRepresentation
bin1100010110001101011…
…0101110101100010000
3202021112000202201211200
43011203112232230100
511433410244102204
6241240254111200
721216352542333
oct3054326565420
9667460681750
10212120300304
1181a6141a210
123513a7ab500
13170063844c3
14a3a3a9661a
1557b7559539
hex31635aeb10

212120300304 has 120 divisors (see below), whose sum is σ = 648426123072. Its totient is φ = 64197845760.

The previous prime is 212120300303. The next prime is 212120300311. The reversal of 212120300304 is 403003021212.

212120300304 is a `hidden beast` number, since 21 + 21 + 20 + 300 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212120300303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1178437 + ... + 1346459.

Almost surely, 2212120300304 is an apocalyptic number.

212120300304 is a gapful number since it is divisible by the number (24) 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 212120300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324213061536).

212120300304 is an abundant number, since it is smaller than the sum of its proper divisors (436305822768).

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

212120300304 is a wasteful number, since it uses less digits than its factorization.

212120300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168845 (or 168836 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212120300304 its reverse (403003021212), we get a palindrome (615123321516).

The spelling of 212120300304 in words is "two hundred twelve billion, one hundred twenty million, three hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 797 1584 1594 2391 3188 4782 6376 7173 8767 9564 12752 14346 17534 19128 26301 28692 35068 38256 52602 57384 70136 78903 105204 114768 140272 157806 168023 210408 315612 336046 420816 504069 631224 672092 1008138 1262448 1344184 1512207 1848253 2016276 2688368 3024414 3696506 4032552 5544759 6048828 7393012 8065104 11089518 12097656 14786024 16634277 22179036 24195312 29572048 33268554 44358072 66537108 88716144 133074216 133914331 266148432 267828662 401742993 535657324 803485986 1071314648 1205228979 1473057641 1606971972 2142629296 2410457958 2946115282 3213943944 4419172923 4820915916 5892230564 6427887888 8838345846 9641831832 11784461128 13257518769 17676691692 19283663664 23568922256 26515037538 35353383384 53030075076 70706766768 106060150152 212120300304