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211414320200 = 23528911877209
BaseRepresentation
bin1100010011100101000…
…1101000010001001000
3202012200211100020012102
43010321101220101020
511430434031221300
6241042234332532
721163021033316
oct3047121502110
9665624306172
10211414320200
1181729965986
1234b8228a148
1316c230301b5
14a3380030b6
1557755a50d5
hex3139468448

211414320200 has 48 divisors (see below), whose sum is σ = 497061238500. Its totient is φ = 83615544320.

The previous prime is 211414320193. The next prime is 211414320223. The reversal of 211414320200 is 2023414112.

It can be written as a sum of positive squares in 6 ways, for example, as 101841403876 + 109572916324 = 319126^2 + 331018^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5920805 + ... + 5956404.

Almost surely, 2211414320200 is an apocalyptic number.

211414320200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211414320200 is an abundant number, since it is smaller than the sum of its proper divisors (285646918300).

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

211414320200 is a wasteful number, since it uses less digits than its factorization.

211414320200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11877314 (or 11877305 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211414320200 its reverse (2023414112), we get a palindrome (213437734312).

The spelling of 211414320200 in words is "two hundred eleven billion, four hundred fourteen million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 1780 2225 3560 4450 8900 17800 11877209 23754418 47508836 59386045 95017672 118772090 237544180 296930225 475088360 593860450 1057071601 1187720900 2114143202 2375441800 4228286404 5285358005 8456572808 10570716010 21141432020 26426790025 42282864040 52853580050 105707160100 211414320200