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211234020200 = 23527178875379
BaseRepresentation
bin1100010010111010000…
…1110101101101101000
3202012020021002001002122
43010232201311231220
511430101402121300
6241012314050412
721155401355330
oct3045641655550
9665207061078
10211234020200
1181647108915
1234b31a19a08
1316bc48828c8
14a31c0ac0c0
15576483cc85
hex312e875b68

211234020200 has 96 divisors (see below), whose sum is σ = 594295444800. Its totient is φ = 68162903040.

The previous prime is 211234020191. The next prime is 211234020211. The reversal of 211234020200 is 2020432112.

211234020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112340202002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4413890 + ... + 4461489.

It is an arithmetic number, because the mean of its divisors is an integer number (6190577550).

Almost surely, 2211234020200 is an apocalyptic number.

211234020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211234020200 is an abundant number, since it is smaller than the sum of its proper divisors (383061424600).

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

211234020200 is a wasteful number, since it uses less digits than its factorization.

211234020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875419 (or 8875410 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 211234020200 its reverse (2020432112), we get a palindrome (213254452312).

The spelling of 211234020200 in words is "two hundred eleven billion, two hundred thirty-four million, twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 11900 23800 8875379 17750758 35501516 44376895 62127653 71003032 88753790 124255306 150881443 177507580 221884475 248510612 301762886 310638265 355015160 443768950 497021224 603525772 621276530 754407215 887537900 1056170101 1207051544 1242553060 1508814430 1553191325 1775075800 2112340202 2485106120 3017628860 3106382650 3772036075 4224680404 5280850505 6035257720 6212765300 7544072150 8449360808 10561701010 12425530600 15088144300 21123402020 26404252525 30176288600 42246804040 52808505050 105617010100 211234020200