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131203200024 = 233213210782643
BaseRepresentation
bin111101000110001010…
…0011111010000011000
3110112122202222010202200
41322030110133100120
54122201004400044
6140135055530200
712323223541101
oct1721424372030
9415582863680
10131203200024
1150708871116
1221517829960
13c4ac249700
1464c91cd3a8
15362d7d2369
hex1e8c51f418

131203200024 has 72 divisors (see below), whose sum is σ = 384778651140. Its totient is φ = 40370211648.

The previous prime is 131203200013. The next prime is 131203200031. The reversal of 131203200024 is 420002302131.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 5379154 + ... + 5403489.

Almost surely, 2131203200024 is an apocalyptic number.

It is an amenable number.

131203200024 is an abundant number, since it is smaller than the sum of its proper divisors (253575451116).

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

131203200024 is a wasteful number, since it uses less digits than its factorization.

131203200024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10782681 (or 10782661 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 131203200024 its reverse (420002302131), we get a palindrome (551205502155).

The spelling of 131203200024 in words is "one hundred thirty-one billion, two hundred three million, two hundred thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 10782643 21565286 32347929 43130572 64695858 86261144 97043787 129391716 140174359 194087574 258783432 280348718 388175148 420523077 560697436 776350296 841046154 1121394872 1261569231 1682092308 1822266667 2523138462 3364184616 3644533334 5046276924 5466800001 7289066668 10092553848 10933600002 14578133336 16400400003 21867200004 32800800006 43734400008 65601600012 131203200024