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211324026900 = 223527100630489
BaseRepresentation
bin1100010011001111100…
…1001100000000010100
3202012110112102212002010
43010303321030000110
511430242422330100
6241025251144220
721160543406460
oct3046371140024
9665415385063
10211324026900
11816929a4218
1234b57ba5070
1316c0a4078cc
14a32a01b4a0
15576c6bb750
hex3133e4c014

211324026900 has 72 divisors (see below), whose sum is σ = 698778122560. Its totient is φ = 48302634240.

The previous prime is 211324026839. The next prime is 211324026913. The reversal of 211324026900 is 9620423112.

211324026900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2113240269002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 50313145 + ... + 50317344.

Almost surely, 2211324026900 is an apocalyptic number.

211324026900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211324026900 is an abundant number, since it is smaller than the sum of its proper divisors (487454095660).

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

211324026900 is a wasteful number, since it uses less digits than its factorization.

211324026900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100630513 (or 100630506 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 211324026900 in words is "two hundred eleven billion, three hundred twenty-four million, twenty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 100630489 201260978 301891467 402521956 503152445 603782934 704413423 1006304890 1207565868 1408826846 1509457335 2012609780 2113240269 2515762225 2817653692 3018914670 3522067115 4226480538 5031524450 6037829340 7044134230 7547286675 8452961076 10063048900 10566201345 14088268460 15094573350 17610335575 21132402690 30189146700 35220671150 42264805380 52831006725 70441342300 105662013450 211324026900