Search a number
-
+
211141200420 = 22335652959887
BaseRepresentation
bin1100010010100011111…
…1110000101000100100
3202011222210102022022000
43010220333300220210
511424404121403140
6240555200405300
721153163406613
oct3045077605044
9664883368260
10211141200420
11815a9780a57
1234b06916830
1316bab584367
14a30da2987a
15575b605a30
hex3128ff0a24

211141200420 has 96 divisors (see below), whose sum is σ = 656995315200. Its totient is φ = 56294756352.

The previous prime is 211141200407. The next prime is 211141200461. The reversal of 211141200420 is 24002141112.

211141200420 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 41 + 200 + 420 = 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 = 211141200393 and 211141200402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3495717 + ... + 3555603.

It is an arithmetic number, because the mean of its divisors is an integer number (6843701200).

Almost surely, 2211141200420 is an apocalyptic number.

211141200420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211141200420 is an abundant number, since it is smaller than the sum of its proper divisors (445854114780).

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

211141200420 is a wasteful number, since it uses less digits than its factorization.

211141200420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66434 (or 66426 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211141200420 its reverse (24002141112), we get a palindrome (235143341532).

The spelling of 211141200420 in words is "two hundred eleven billion, one hundred forty-one million, two hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 6529 13058 19587 26116 32645 39174 58761 59887 65290 78348 97935 117522 119774 130580 176283 179661 195870 235044 239548 293805 299435 352566 359322 391740 538983 587610 598870 705132 718644 881415 898305 1077966 1175220 1197740 1616949 1762830 1796610 2155932 2694915 3233898 3525660 3593220 5389830 6467796 8084745 10779660 16169490 32338980 391002223 782004446 1173006669 1564008892 1955011115 2346013338 3519020007 3910022230 4692026676 5865033345 7038040014 7820044460 10557060021 11730066690 14076080028 17595100035 21114120042 23460133380 35190200070 42228240084 52785300105 70380400140 105570600210 211141200420