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241301212320540 = 223537017321148429
BaseRepresentation
bin110110110111011001010001…
…000010110101001100011100
31011122101011121101002210020210
4312313121101002311030130
5223111434340323224130
62213112125133412420
7101553302662534161
oct6667312102651434
91148334541083223
10241301212320540
116a9822a6710a09
122309195b93a110
13a4847b6b6a0b8
1443830806a4068
151cd6be93525b0
hexdb76510b531c

241301212320540 has 96 divisors (see below), whose sum is σ = 675922818634560. Its totient is φ = 64320383232000.

The previous prime is 241301212320463. The next prime is 241301212320547. The reversal of 241301212320540 is 45023212103142.

It is a happy number.

241301212320540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 241301212320498 and 241301212320507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241301212320547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1625627046 + ... + 1625775474.

It is an arithmetic number, because the mean of its divisors is an integer number (7040862694110).

Almost surely, 2241301212320540 is an apocalyptic number.

241301212320540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241301212320540 is an abundant number, since it is smaller than the sum of its proper divisors (434621606314020).

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

241301212320540 is a wasteful number, since it uses less digits than its factorization.

241301212320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159463 (or 159461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 241301212320540 its reverse (45023212103142), we get a palindrome (286324424423682).

The spelling of 241301212320540 in words is "two hundred forty-one trillion, three hundred one billion, two hundred twelve million, three hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3701 7321 7402 11103 14642 14804 18505 21963 22206 29284 36605 37010 43926 44412 55515 73210 74020 87852 109815 111030 146420 148429 219630 222060 296858 439260 445287 593716 742145 890574 1484290 1781148 2226435 2968580 4452870 8905740 27095021 54190042 81285063 108380084 135475105 162570126 270950210 325140252 406425315 541900420 549335729 812850630 1086648709 1098671458 1625701260 1648007187 2173297418 2197342916 2746678645 3259946127 3296014374 4346594836 5433243545 5493357290 6519892254 6592028748 8240035935 10866487090 10986714580 13039784508 16299730635 16480071870 21732974180 32599461270 32960143740 65198922540 4021686872009 8043373744018 12065060616027 16086747488036 20108434360045 24130121232054 40216868720090 48260242464108 60325303080135 80433737440180 120650606160270 241301212320540