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201430241012 = 2271113211238423
BaseRepresentation
bin1011101110011000101…
…1011000111011110100
3201020221000112110022202
42323212023120323310
511300012120203022
6232311421044032
720360425540610
oct2734613307364
9636830473282
10201430241012
1178476135470
12330566b6618
1315cc1728530
149a6c026340
15538dcde592
hex2ee62d8ef4

201430241012 has 96 divisors (see below), whose sum is σ = 475535714304. Its totient is φ = 72098812800.

The previous prime is 201430241009. The next prime is 201430241017. The reversal of 201430241012 is 210142034102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201430241017) 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, 725633 + ... + 964055.

It is an arithmetic number, because the mean of its divisors is an integer number (4953497024).

Almost surely, 2201430241012 is an apocalyptic number.

201430241012 is a gapful number since it is divisible by the number (22) 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 201430241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237767857152).

201430241012 is an abundant number, since it is smaller than the sum of its proper divisors (274105473292).

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

201430241012 is a wasteful number, since it uses less digits than its factorization.

201430241012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238669 (or 238667 counting only the distinct ones).

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

Adding to 201430241012 its reverse (210142034102), we get a palindrome (411572275114).

The spelling of 201430241012 in words is "two hundred one billion, four hundred thirty million, two hundred forty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 211 286 308 364 422 572 844 1001 1477 2002 2321 2743 2954 4004 4642 5486 5908 9284 10972 16247 19201 30173 32494 38402 60346 64988 76804 120692 211211 238423 422422 476846 844844 953692 1668961 2622653 3099499 3337922 5245306 6198998 6675844 10490612 12397996 18358571 21696493 34094489 36717142 43392986 50307253 68188978 73434284 86785972 100614506 136377956 201229012 238661423 352150771 477322846 553379783 653994289 704301542 954645692 1106759566 1307988578 1408603084 2213519132 2615977156 3873658481 4577960023 7193937179 7747316962 9155920046 14387874358 15494633924 18311840092 28775748716 50357560253 100715120506 201430241012