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253341000225342 = 233231621125834831
BaseRepresentation
bin111001100110100110001100…
…010100110101001000111110
31020020000011101220010212122000
4321212212030110311020332
5231201214332024202332
62254451125424403130
7104235166104266151
oct7146461424651076
91206004356125560
10253341000225342
11737a435104a567
12244b72244764a6
13ab48c526ab803
14467baac5ddc98
151e44eaa311b7c
hexe6698c53523e

253341000225342 has 64 divisors (see below), whose sum is σ = 587819800811520. Its totient is φ = 80725560141600.

The previous prime is 253341000225311. The next prime is 253341000225347. The reversal of 253341000225342 is 243522000143352.

253341000225342 is a `hidden beast` number, since 2 + 53 + 3 + 41 + 0 + 0 + 0 + 225 + 342 = 666.

253341000225342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253341000225297 and 253341000225306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253341000225347) 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, 60904134 + ... + 64930697.

It is an arithmetic number, because the mean of its divisors is an integer number (9184684387680).

Almost surely, 2253341000225342 is an apocalyptic number.

253341000225342 is an abundant number, since it is smaller than the sum of its proper divisors (334478800586178).

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

253341000225342 is a wasteful number, since it uses less digits than its factorization.

253341000225342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125836486 (or 125836480 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 253341000225342 its reverse (243522000143352), we get a palindrome (496863000368694).

The spelling of 253341000225342 in words is "two hundred fifty-three trillion, three hundred forty-one billion, two hundred twenty-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1242 1621 3242 4863 9726 14589 29178 37283 43767 74566 87534 111849 223698 335547 671094 1006641 2013282 125834831 251669662 377504493 755008986 1132513479 2265026958 2894201113 3397540437 5788402226 6795080874 8682603339 17365206678 26047810017 52095620034 78143430051 156286860102 203978261051 407956522102 611934783153 1223869566306 1835804349459 3671608698918 4691500004173 5507413048377 9383000008346 11014826096754 14074500012519 28149000025038 42223500037557 84447000075114 126670500112671 253341000225342