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211303132020 = 223253731727197
BaseRepresentation
bin1100010011001010100…
…1011110101101110100
3202012102002010021200200
43010302221132231310
511430222100211040
6241023223240500
721160200662451
oct3046251365564
9665362107620
10211303132020
1181682122622
1234b50ba9130
1316c05ca0086
14a32733c828
15576a940630
hex3132a5eb74

211303132020 has 72 divisors (see below), whose sum is σ = 658275904104. Its totient is φ = 54824594688.

The previous prime is 211303132009. The next prime is 211303132043. The reversal of 211303132020 is 20231303112.

211303132020 is a `hidden beast` number, since 21 + 1 + 303 + 1 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108212049936 + 103091082084 = 328956^2 + 321078^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211303131984 and 211303132002.

It is a congruent number.

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, 15856939 + ... + 15870258.

Almost surely, 2211303132020 is an apocalyptic number.

211303132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211303132020 is an abundant number, since it is smaller than the sum of its proper divisors (446972772084).

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

211303132020 is a wasteful number, since it uses less digits than its factorization.

211303132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31727249 (or 31727244 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 211303132020 its reverse (20231303112), we get a palindrome (231534435132).

The spelling of 211303132020 in words is "two hundred eleven billion, three hundred three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 31727197 63454394 95181591 126908788 158635985 190363182 285544773 317271970 380726364 475907955 571089546 634543940 951815910 1142179092 1173906289 1427723865 1903631820 2347812578 2855447730 3521718867 4695625156 5710895460 5869531445 7043437734 10565156601 11739062890 14086875468 17608594335 21130313202 23478125780 35217188670 42260626404 52825783005 70434377340 105651566010 211303132020