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211411321020 = 223251769088667
BaseRepresentation
bin1100010011100100011…
…0001100000010111100
3202012200121200212002200
43010321012030002330
511430432244233040
6241042050151500
721162653402334
oct3047106140274
9665617625080
10211411321020
11817281a7619
1234b81282590
1316c22520033
14a3378620c4
1557751b1630
hex313918c0bc

211411321020 has 72 divisors (see below), whose sum is σ = 679003429104. Its totient is φ = 53060095488.

The previous prime is 211411321013. The next prime is 211411321039. The reversal of 211411321020 is 20123114112.

211411321020 is a `hidden beast` number, since 21 + 1 + 411 + 3 + 210 + 20 = 666.

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 = 211411320984 and 211411321002.

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, 34541274 + ... + 34547393.

It is an arithmetic number, because the mean of its divisors is an integer number (9430603182).

Almost surely, 2211411321020 is an apocalyptic number.

211411321020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211411321020 is an abundant number, since it is smaller than the sum of its proper divisors (467592108084).

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

211411321020 is a wasteful number, since it uses less digits than its factorization.

211411321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69088699 (or 69088694 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 211411321020 its reverse (20123114112), we get a palindrome (231534435132).

The spelling of 211411321020 in words is "two hundred eleven billion, four hundred eleven million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 69088667 138177334 207266001 276354668 345443335 414532002 621798003 690886670 829064004 1036330005 1174507339 1243596006 1381773340 2072660010 2349014678 2487192012 3108990015 3523522017 4145320020 4698029356 5872536695 6217980030 7047044034 10570566051 11745073390 12435960060 14094088068 17617610085 21141132102 23490146780 35235220170 42282264204 52852830255 70470440340 105705660510 211411321020