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211131133040 = 24523114745181
BaseRepresentation
bin1100010010100001100…
…1010110110001110000
3202011222002110211110002
43010220121112301300
511424344032224130
6240554200525132
721153012006632
oct3045031266160
9664862424402
10211131133040
11815a4025203
1234b034807a8
1316ba946ac29
14a30c568a52
15575a7b7b45
hex3128656c70

211131133040 has 40 divisors (see below), whose sum is σ = 512222492448. Its totient is φ = 80780606720.

The previous prime is 211131133027. The next prime is 211131133067. The reversal of 211131133040 is 40331131112.

211131133040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

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, 57370751 + ... + 57374430.

Almost surely, 2211131133040 is an apocalyptic number.

211131133040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211131133040 is an abundant number, since it is smaller than the sum of its proper divisors (301091359408).

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

211131133040 is a wasteful number, since it uses less digits than its factorization.

211131133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114745217 (or 114745211 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211131133040 its reverse (40331131112), we get a palindrome (251462264152).

The spelling of 211131133040 in words is "two hundred eleven billion, one hundred thirty-one million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 114745181 229490362 458980724 573725905 917961448 1147451810 1835922896 2294903620 2639139163 4589807240 5278278326 9179614480 10556556652 13195695815 21113113304 26391391630 42226226608 52782783260 105565566520 211131133040