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21120002190 = 232571737223239
BaseRepresentation
bin10011101010110110…
…011010100010001110
32000111220000021102100
4103222312122202032
5321223210032230
613411414535530
71345242025260
oct235266324216
960456007370
1021120002190
118a58766271
1241150675a6
131cb773ca21
141044d4db30
15839253660
hex4ead9a88e

21120002190 has 384 divisors, whose sum is σ = 68836884480. Its totient is φ = 4382429184.

The previous prime is 21120002179. The next prime is 21120002191. The reversal of 21120002190 is 9120002112.

It is a super-2 number, since 2×211200021902 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120002191) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 88368091 + ... + 88368329.

It is an arithmetic number, because the mean of its divisors is an integer number (179262720).

Almost surely, 221120002190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120002190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34418442240).

21120002190 is an abundant number, since it is smaller than the sum of its proper divisors (47716882290).

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

21120002190 is a wasteful number, since it uses less digits than its factorization.

21120002190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 21120002190 in words is "twenty-one billion, one hundred twenty million, two thousand, one hundred ninety".