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213001113000 = 23353135461567
BaseRepresentation
bin1100011001011111011…
…0110000110110101000
3202100210102011122201010
43012113312300312220
511442211241104000
6241503521023520
721250236405354
oct3062766606650
9670712148633
10213001113000
1182373636895
1235345784ba0
13171169c0650
14a448a5a464
155819a45d50
hex3197db0da8

213001113000 has 128 divisors (see below), whose sum is σ = 715683870720. Its totient is φ = 52431033600.

The previous prime is 213001112953. The next prime is 213001113007. The reversal of 213001113000 is 311100312.

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

It is not an unprimeable number, because it can be changed into a prime (213001113007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2691784 + ... + 2769783.

It is an arithmetic number, because the mean of its divisors is an integer number (5591280240).

Almost surely, 2213001113000 is an apocalyptic number.

213001113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213001113000 is an abundant number, since it is smaller than the sum of its proper divisors (502682757720).

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

213001113000 is a wasteful number, since it uses less digits than its factorization.

213001113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461604 (or 5461590 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 213001113000 its reverse (311100312), we get a palindrome (213312213312).

The spelling of 213001113000 in words is "two hundred thirteen billion, one million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 5461567 10923134 16384701 21846268 27307835 32769402 43692536 54615670 65538804 71000371 81923505 109231340 131077608 136539175 142000742 163847010 213001113 218462680 273078350 284001484 327694020 355001855 409617525 426002226 546156700 568002968 655388040 682695875 710003710 819235050 852004452 1065005565 1092313400 1365391750 1420007420 1638470100 1704008904 1775009275 2048087625 2130011130 2730783500 2840014840 3276940200 3550018550 4096175250 4260022260 5325027825 5461567000 7100037100 8192350500 8520044520 8875046375 10650055650 14200074200 16384701000 17750092750 21300111300 26625139125 35500185500 42600222600 53250278250 71000371000 106500556500 213001113000