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213020323100 = 225213473799199
BaseRepresentation
bin1100011001100100000…
…0000010110100011100
3202100211202022122000022
43012121000002310130
511442231200314400
6241505444451312
721250561604444
oct3063100026434
9670752278008
10213020323100
1182383467702
12353500a9b38
131711a988380
14a44b41b124
15581b58cb85
hex3199002d1c

213020323100 has 144 divisors (see below), whose sum is σ = 509800704000. Its totient is φ = 76768715520.

The previous prime is 213020323091. The next prime is 213020323123. The reversal of 213020323100 is 1323020312.

It is a super-2 number, since 2×2130203231002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23152301 + ... + 23161499.

Almost surely, 2213020323100 is an apocalyptic number.

213020323100 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 213020323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254900352000).

213020323100 is an abundant number, since it is smaller than the sum of its proper divisors (296780380900).

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

213020323100 is a wasteful number, since it uses less digits than its factorization.

213020323100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9652 (or 9645 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213020323100 its reverse (1323020312), we get a palindrome (214343343412).

The spelling of 213020323100 in words is "two hundred thirteen billion, twenty million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 47 50 52 65 94 100 130 188 235 260 325 379 470 611 650 758 940 1175 1222 1300 1516 1895 2350 2444 3055 3790 4700 4927 6110 7580 9199 9475 9854 12220 15275 17813 18398 18950 19708 24635 30550 35626 36796 37900 45995 49270 61100 71252 89065 91990 98540 119587 123175 178130 183980 229975 231569 239174 246350 356260 432353 445325 459950 463138 478348 492700 597935 864706 890650 919900 926276 1157845 1195870 1729412 1781300 2161765 2315690 2391740 2989675 3486421 4323530 4631380 5620589 5789225 5979350 6972842 8647060 10808825 11241178 11578450 11958700 13945684 17432105 21617650 22482356 23156900 28102945 34864210 43235300 45323473 56205890 69728420 87160525 90646946 112411780 140514725 163861787 174321050 181293892 226617365 281029450 327723574 348642100 453234730 562058900 655447148 819308935 906469460 1133086825 1638617870 2130203231 2266173650 3277235740 4096544675 4260406462 4532347300 8193089350 8520812924 10651016155 16386178700 21302032310 42604064620 53255080775 106510161550 213020323100