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211130121020 = 225721316572223
BaseRepresentation
bin1100010010100001010…
…1011111101100111100
3202011222000120102012212
43010220111133230330
511424343302333040
6240554123115552
721153000263300
oct3045025375474
9664860512185
10211130121020
11815a34a3925
1234b03072bb8
1316ba91a53c0
14a30c383d00
15575a667d65
hex312855fb3c

211130121020 has 72 divisors (see below), whose sum is σ = 555434659584. Its totient is φ = 66819199104.

The previous prime is 211130120963. The next prime is 211130121023. The reversal of 211130121020 is 20121031112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211130120986 and 211130121004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211130121023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8273372 + ... + 8298851.

It is an arithmetic number, because the mean of its divisors is an integer number (7714370272).

Almost surely, 2211130121020 is an apocalyptic number.

211130121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211130121020 is an abundant number, since it is smaller than the sum of its proper divisors (344304538564).

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

211130121020 is a wasteful number, since it uses less digits than its factorization.

211130121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16572259 (or 16572250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 211130121020 its reverse (20121031112), we get a palindrome (231251152132).

The spelling of 211130121020 in words is "two hundred eleven billion, one hundred thirty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 16572223 33144446 66288892 82861115 116005561 165722230 215438899 232011122 331444460 430877798 464022244 580027805 812038927 861755596 1077194495 1160055610 1508072293 1624077854 2154388990 2320111220 3016144586 3248155708 4060194635 4308777980 6032289172 7540361465 8120389270 10556506051 15080722930 16240778540 21113012102 30161445860 42226024204 52782530255 105565060510 211130121020