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211220023300 = 2252111314770631
BaseRepresentation
bin1100010010110110110…
…0011100100000000100
3202012012021201220221221
43010231230130200010
511430034311221200
6241011054050124
721155141401126
oct3045554344004
9665167656857
10211220023300
118163a218830
1234b291a9944
1316bc19c1a10
14a31a2a7216
1557634c591a
hex312db1c804

211220023300 has 72 divisors (see below), whose sum is σ = 538478160192. Its totient is φ = 70899024000.

The previous prime is 211220023283. The next prime is 211220023331. The reversal of 211220023300 is 3320022112.

It is a super-2 number, since 2×2112200233002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7371016 + ... + 7399615.

It is an arithmetic number, because the mean of its divisors is an integer number (7478863336).

Almost surely, 2211220023300 is an apocalyptic number.

211220023300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220023300 is an abundant number, since it is smaller than the sum of its proper divisors (327258136892).

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

211220023300 is a wasteful number, since it uses less digits than its factorization.

211220023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14770669 (or 14770662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 211220023300 its reverse (3320022112), we get a palindrome (214540045412).

The spelling of 211220023300 in words is "two hundred eleven billion, two hundred twenty million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 715 1100 1300 1430 2860 3575 7150 14300 14770631 29541262 59082524 73853155 147706310 162476941 192018203 295412620 324953882 369265775 384036406 649907764 738531550 768072812 812384705 960091015 1477063100 1624769410 1920182030 2112200233 3249538820 3840364060 4061923525 4224400466 4800455075 8123847050 8448800932 9600910150 10561001165 16247694100 19201820300 21122002330 42244004660 52805005825 105610011650 211220023300