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131440103250 = 23532292513049
BaseRepresentation
bin111101001101001110…
…0001100111101010010
3110120021021202001220020
41322122130030331102
54123142131301000
6140214401324310
712332131305051
oct1723234147522
9416237661806
10131440103250
115081a56a005
1221583036696
13c519354b31
14650c85a398
1536444caba0
hex1e9a70cf52

131440103250 has 128 divisors (see below), whose sum is σ = 330928416000. Its totient is φ = 34747200000.

The previous prime is 131440103233. The next prime is 131440103279. The reversal of 131440103250 is 52301044131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131440103250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43107726 + ... + 43110774.

It is an arithmetic number, because the mean of its divisors is an integer number (2585378250).

Almost surely, 2131440103250 is an apocalyptic number.

131440103250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131440103250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165464208000).

131440103250 is an abundant number, since it is smaller than the sum of its proper divisors (199488312750).

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

131440103250 is a wasteful number, since it uses less digits than its factorization.

131440103250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549 (or 3539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131440103250 its reverse (52301044131), we get a palindrome (183741147381).

The spelling of 131440103250 in words is "one hundred thirty-one billion, four hundred forty million, one hundred three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 229 250 251 375 458 502 687 750 753 1145 1255 1374 1506 2290 2510 3049 3435 3765 5725 6098 6275 6870 7530 9147 11450 12550 15245 17175 18294 18825 28625 30490 31375 34350 37650 45735 57250 57479 62750 76225 85875 91470 94125 114958 152450 171750 172437 188250 228675 287395 344874 381125 457350 574790 698221 762250 765299 862185 1143375 1396442 1436975 1530598 1724370 2094663 2286750 2295897 2873950 3491105 3826495 4189326 4310925 4591794 6982210 7184875 7652990 8621850 10473315 11479485 14369750 17455525 19132475 20946630 21554625 22958970 34911050 38264950 43109250 52366575 57397425 87277625 95662375 104733150 114794850 174555250 175253471 191324750 261832875 286987125 350506942 523665750 525760413 573974250 876267355 1051520826 1752534710 2628802065 4381336775 5257604130 8762673550 13144010325 21906683875 26288020650 43813367750 65720051625 131440103250