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211130431400 = 23527150807451
BaseRepresentation
bin1100010010100001011…
…0101011011110101000
3202011222001011011222102
43010220112223132220
511424343342301100
6240554133512532
721153003025220
oct3045026533650
9664861134872
10211130431400
11815a3696039
1234b031a2748
1316ba9283765
14a30c425080
15575a6c9cd5
hex31285ab7a8

211130431400 has 48 divisors (see below), whose sum is σ = 561003721440. Its totient is φ = 72387576000.

The previous prime is 211130431399. The next prime is 211130431403. The reversal of 211130431400 is 4134031112.

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

It is not an unprimeable number, because it can be changed into a prime (211130431403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75402326 + ... + 75405125.

It is an arithmetic number, because the mean of its divisors is an integer number (11687577530).

Almost surely, 2211130431400 is an apocalyptic number.

211130431400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211130431400 is an abundant number, since it is smaller than the sum of its proper divisors (349873290040).

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

211130431400 is a wasteful number, since it uses less digits than its factorization.

211130431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150807474 (or 150807465 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 211130431400 its reverse (4134031112), we get a palindrome (215264462512).

The spelling of 211130431400 in words is "two hundred eleven billion, one hundred thirty million, four hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 150807451 301614902 603229804 754037255 1055652157 1206459608 1508074510 2111304314 3016149020 3770186275 4222608628 5278260785 6032298040 7540372550 8445217256 10556521570 15080745100 21113043140 26391303925 30161490200 42226086280 52782607850 105565215700 211130431400