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211284001044 = 223314071139033
BaseRepresentation
bin1100010011000110000…
…0100000000100010100
3202012100202010022221000
43010301200200010110
511430202201013134
6241021301223300
721156546243144
oct3046140400424
9665322108830
10211284001044
11816723461a6
1234b46701b30
1316c0203237c
14a32499c924
155768e11e99
hex3131820114

211284001044 has 48 divisors (see below), whose sum is σ = 547816205440. Its totient is φ = 70422488640.

The previous prime is 211284001009. The next prime is 211284001069. The reversal of 211284001044 is 440100482112.

211284001044 is a `hidden beast` number, since 211 + 2 + 8 + 400 + 1 + 0 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 211284000999 and 211284001017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1450152 + ... + 1589184.

Almost surely, 2211284001044 is an apocalyptic number.

It is an amenable number.

211284001044 is an abundant number, since it is smaller than the sum of its proper divisors (336532204396).

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

211284001044 is a wasteful number, since it uses less digits than its factorization.

211284001044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153117 (or 153109 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 211284001044 its reverse (440100482112), we get a palindrome (651384483156).

The spelling of 211284001044 in words is "two hundred eleven billion, two hundred eighty-four million, one thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 14071 28142 42213 56284 84426 126639 139033 168852 253278 278066 379917 417099 506556 556132 759834 834198 1251297 1519668 1668396 2502594 3753891 5005188 7507782 15015564 1956333343 3912666686 5869000029 7825333372 11738000058 17607000087 23476000116 35214000174 52821000261 70428000348 105642000522 211284001044