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211212421040 = 2458293184747
BaseRepresentation
bin1100010010110100111…
…1011100011110110000
3202012011202102200121202
43010231033130132300
511430030334433130
6241010223110332
721155016646115
oct3045517343660
9665152380552
10211212421040
11816359a6075
1234b267423a8
1316bc025c63a
14a31928890c
1557629c3145
hex312d3dc7b0

211212421040 has 40 divisors (see below), whose sum is σ = 491661396240. Its totient is φ = 84383030016.

The previous prime is 211212421033. The next prime is 211212421087. The reversal of 211212421040 is 40124212112.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2112124210402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1526054 + ... + 1658693.

It is an arithmetic number, because the mean of its divisors is an integer number (12291534906).

Almost surely, 2211212421040 is an apocalyptic number.

211212421040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212421040 is an abundant number, since it is smaller than the sum of its proper divisors (280448975200).

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

211212421040 is a wasteful number, since it uses less digits than its factorization.

211212421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3185589 (or 3185583 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 211212421040 its reverse (40124212112), we get a palindrome (251336633152).

The spelling of 211212421040 in words is "two hundred eleven billion, two hundred twelve million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 829 1658 3316 4145 6632 8290 13264 16580 33160 66320 3184747 6369494 12738988 15923735 25477976 31847470 50955952 63694940 127389880 254779760 2640155263 5280310526 10560621052 13200776315 21121242104 26401552630 42242484208 52803105260 105606210520 211212421040