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211230433100 = 225221125738953
BaseRepresentation
bin1100010010111001010…
…0001001111101001100
3202012020000022210112002
43010232110021331030
511430044442324400
6241012105131432
721155326025321
oct3045624117514
9665200283462
10211230433100
1181645088875
1234b30789b78
1316bc3bc7c6b
14a31b816b48
15576437eed5
hex312e509f4c

211230433100 has 72 divisors (see below), whose sum is σ = 462346272528. Its totient is φ = 83762380800.

The previous prime is 211230433061. The next prime is 211230433177. The reversal of 211230433100 is 1334032112.

It is a super-2 number, since 2×2112304331002 (a number of 23 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 5403224 + ... + 5442176.

Almost surely, 2211230433100 is an apocalyptic number.

211230433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211230433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231173136264).

211230433100 is an abundant number, since it is smaller than the sum of its proper divisors (251115839428).

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

211230433100 is a wasteful number, since it uses less digits than its factorization.

211230433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39435 (or 39428 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211230433100 its reverse (1334032112), we get a palindrome (212564465212).

The spelling of 211230433100 in words is "two hundred eleven billion, two hundred thirty million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 257 422 514 844 1028 1055 1285 2110 2570 4220 5140 5275 6425 10550 12850 21100 25700 38953 54227 77906 108454 155812 194765 216908 271135 389530 542270 779060 973825 1084540 1355675 1947650 2711350 3895300 5422700 8219083 10010921 16438166 20021842 32876332 40043684 41095415 50054605 82190830 100109210 164381660 200218420 205477075 250273025 410954150 500546050 821908300 1001092100 2112304331 4224608662 8449217324 10561521655 21123043310 42246086620 52807608275 105615216550 211230433100