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213009900 = 223522330871
BaseRepresentation
bin11001011001001…
…00010111101100
3112211211000122120
430230210113230
5414012304100
633045312540
75164361055
oct1454442754
9484730576
10213009900
11aa269544
125b405750
1335190b7c
142040b72c
1513a790a0
hexcb245ec

213009900 has 72 divisors (see below), whose sum is σ = 643125504. Its totient is φ = 54331200.

The previous prime is 213009889. The next prime is 213009911. The reversal of 213009900 is 9900312.

It is a happy number.

213009900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213009889) and next prime (213009911).

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, 8536 + ... + 22335.

Almost surely, 2213009900 is an apocalyptic number.

213009900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213009900 is an abundant number, since it is smaller than the sum of its proper divisors (430115604).

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

213009900 is a wasteful number, since it uses less digits than its factorization.

213009900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30911 (or 30904 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 213009900 is about 14594.8586837968. The cubic root of 213009900 is about 597.2185143772.

The spelling of 213009900 in words is "two hundred thirteen million, nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 30871 61742 92613 123484 154355 185226 308710 370452 463065 617420 710033 771775 926130 1420066 1543550 1852260 2130099 2315325 2840132 3087100 3550165 4260198 4630650 7100330 8520396 9261300 10650495 14200660 17750825 21300990 35501650 42601980 53252475 71003300 106504950 213009900