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21200012212200 = 23352231536232769
BaseRepresentation
bin1001101001000000000110…
…01100100111011111101000
32210001200221022011001121220
410310200003030213133220
510234320111111242300
6113031052352302040
74315436031360003
oct464400314473750
983050838131556
1021200012212200
116833969235358
122464855241920
13baa1ca2861a3
1453412c24453a
1526b6dab84da0
hex1348033277e8

21200012212200 has 96 divisors (see below), whose sum is σ = 68577430852800. Its totient is φ = 5407539343360.

The previous prime is 21200012212157. The next prime is 21200012212261. The reversal of 21200012212200 is 221221000212.

It is a super-3 number, since 3×212000122122003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21200012212200.

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, 768102585 + ... + 768130184.

It is an arithmetic number, because the mean of its divisors is an integer number (714348238050).

Almost surely, 221200012212200 is an apocalyptic number.

21200012212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200012212200 is an abundant number, since it is smaller than the sum of its proper divisors (47377418640600).

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

21200012212200 is a wasteful number, since it uses less digits than its factorization.

21200012212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536232811 (or 1536232802 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21200012212200 its reverse (221221000212), we get a palindrome (21421233212412).

The spelling of 21200012212200 in words is "twenty-one trillion, two hundred billion, twelve million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 1536232769 3072465538 4608698307 6144931076 7681163845 9217396614 12289862152 15362327690 18434793228 23043491535 30724655380 35333353687 36869586456 38405819225 46086983070 61449310760 70666707374 76811638450 92173966140 106000061061 115217457675 141333414748 153623276900 176666768435 184347932280 212000122122 230434915350 282666829496 307246553800 353333536870 424000244244 460869830700 530000305305 706667073740 848000488488 883333842175 921739661400 1060000610610 1413334147480 1766667684350 2120001221220 2650001526525 3533335368700 4240002442440 5300003053050 7066670737400 10600006106100 21200012212200