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11221000212 = 223173741101359
BaseRepresentation
bin10100111001101001…
…01110000000010100
31001222000021212112110
422130310232000110
5140440034001322
65053240551020
7545031633222
oct123464560024
931860255473
1011221000212
114838a645a4
122211a82470
13109a9553c6
1478639bb12
1545a195c0c
hex29cd2e014

11221000212 has 192 divisors, whose sum is σ = 29536980480. Its totient is φ = 3299328000.

The previous prime is 11221000211. The next prime is 11221000237. The reversal of 11221000212 is 21200012211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221000211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31256089 + ... + 31256447.

It is an arithmetic number, because the mean of its divisors is an integer number (153838440).

Almost surely, 211221000212 is an apocalyptic number.

11221000212 is a gapful number since it is divisible by the number (12) 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 11221000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768490240).

11221000212 is an abundant number, since it is smaller than the sum of its proper divisors (18315980268).

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

11221000212 is a wasteful number, since it uses less digits than its factorization.

11221000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11221000212 its reverse (21200012211), we get a palindrome (32421012423).

The spelling of 11221000212 in words is "eleven billion, two hundred twenty-one million, two hundred twelve", and thus it is an aban number.