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201042131240 = 235173133128813
BaseRepresentation
bin1011101100111100001…
…0110111100100101000
3201012220222020102210202
42323033002313210220
511243213241144430
6232205114331332
720345003630336
oct2731702674450
9635828212722
10201042131240
1178297050895
1232b68729b48
1315c5c1bac92
149a32678b56
155369bc8d45
hex2ecf0b7928

201042131240 has 128 divisors (see below), whose sum is σ = 495914296320. Its totient is φ = 73021132800.

The previous prime is 201042131237. The next prime is 201042131281. The reversal of 201042131240 is 42131240102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6963074 + ... + 6991886.

It is an arithmetic number, because the mean of its divisors is an integer number (3874330440).

Almost surely, 2201042131240 is an apocalyptic number.

201042131240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201042131240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247957148160).

201042131240 is an abundant number, since it is smaller than the sum of its proper divisors (294872165080).

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

201042131240 is a wasteful number, since it uses less digits than its factorization.

201042131240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29203 (or 29199 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201042131240 its reverse (42131240102), we get a palindrome (243173371342).

The spelling of 201042131240 in words is "two hundred one billion, forty-two million, one hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 331 340 527 620 662 680 1054 1240 1324 1655 2108 2635 2648 3310 4216 5270 5627 6620 10261 10540 11254 13240 20522 21080 22508 28135 28813 41044 45016 51305 56270 57626 82088 102610 112540 115252 144065 174437 205220 225080 230504 288130 348874 410440 489821 576260 697748 872185 893203 979642 1152520 1395496 1744370 1786406 1959284 2449105 3488740 3572812 3918568 4466015 4898210 6977480 7145624 8932030 9537103 9796420 15184451 17864060 19074206 19592840 30368902 35728120 38148412 47685515 60737804 75922255 76296824 95371030 121475608 151844510 162130751 190742060 295650193 303689020 324261502 381484120 591300386 607378040 648523004 810653755 1182600772 1297046008 1478250965 1621307510 2365201544 2956501930 3242615020 5026053281 5913003860 6485230040 10052106562 11826007720 20104213124 25130266405 40208426248 50260532810 100521065620 201042131240