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241010325204100 = 225262571609723929
BaseRepresentation
bin110110110011001010010110…
…110100100010110010000100
31011121100100202221200012122121
4312303022112310202302010
5223042203121223012400
62212330340453135324
7101523264351044254
oct6663122664426204
91147310687605577
10241010325204100
116a87a9a54a6a41
12230454ba32a544
13a463239cc34aa
144372d6795d964
151cce371c1c21a
hexdb3296d22c84

241010325204100 has 72 divisors (see below), whose sum is σ = 523130346968040. Its totient is φ = 96378706821120.

The previous prime is 241010325204091. The next prime is 241010325204107. The reversal of 241010325204100 is 1402523010142.

It can be written as a sum of positive squares in 12 ways, for example, as 766339166464 + 240243986037636 = 875408^2 + 15499806^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (241010325204107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10071880936 + ... + 10071904864.

It is an arithmetic number, because the mean of its divisors is an integer number (7265699263445).

Almost surely, 2241010325204100 is an apocalyptic number.

241010325204100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241010325204100 is an abundant number, since it is smaller than the sum of its proper divisors (282120021763940).

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

241010325204100 is a wasteful number, since it uses less digits than its factorization.

241010325204100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46297 (or 46290 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 241010325204100 its reverse (1402523010142), we get a palindrome (242412848214242).

The spelling of 241010325204100 in words is "two hundred forty-one trillion, ten billion, three hundred twenty-five million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6257 12514 16097 23929 25028 31285 32194 47858 62570 64388 80485 95716 119645 125140 156425 160970 239290 312850 321940 402425 478580 598225 625700 804850 1196450 1609700 2392900 100718929 149723753 201437858 299447506 385185113 402875716 503594645 598895012 748618765 770370226 1007189290 1497237530 1540740452 1925925565 2014378580 2517973225 2994475060 3743093825 3851851130 5035946450 7486187650 7703702260 9629627825 10071892900 14972375300 19259255650 38518511300 2410103252041 4820206504082 9640413008164 12050516260205 24101032520410 48202065040820 60252581301025 120505162602050 241010325204100