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200430121310034 = 237112101390487337
BaseRepresentation
bin101101100100101001000110…
…001011101101011101010010
3222021122221011202202112000120
4231210221012023231131102
5202232321342023410114
61550140154313531110
760134412152163120
oct5544510613553522
9867587152675016
10200430121310034
1158954a34305800
121a59084a113a96
1387ab6301575a5
14376cc263ac910
1518289aa0755a9
hexb64a462ed752

200430121310034 has 96 divisors (see below), whose sum is σ = 508545717821568. Its totient is φ = 51544328352000.

The previous prime is 200430121310009. The next prime is 200430121310039. The reversal of 200430121310034 is 430013121034002.

It is a happy number.

200430121310034 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 200430121309986 and 200430121310013.

It is not an unprimeable number, because it can be changed into a prime (200430121310039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194730387 + ... + 195756950.

It is an arithmetic number, because the mean of its divisors is an integer number (5297351227308).

Almost surely, 2200430121310034 is an apocalyptic number.

200430121310034 is an abundant number, since it is smaller than the sum of its proper divisors (308115596511534).

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

200430121310034 is a wasteful number, since it uses less digits than its factorization.

200430121310034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390487472 (or 390487461 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 200430121310034 its reverse (430013121034002), we get a palindrome (630443242344036).

The spelling of 200430121310034 in words is "two hundred trillion, four hundred thirty billion, one hundred twenty-one million, three hundred ten thousand, thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 101 121 154 202 231 242 303 363 462 606 707 726 847 1111 1414 1694 2121 2222 2541 3333 4242 5082 6666 7777 12221 15554 23331 24442 36663 46662 73326 85547 171094 256641 513282 390487337 780974674 1171462011 2342924022 2733411359 4295360707 5466822718 8200234077 8590721414 12886082121 16400468154 25772164242 30067524949 39439221037 47248967777 60135049898 78878442074 90202574847 94497935554 118317663111 141746903331 180405149694 236635326222 276074547259 283493806662 330742774439 433831431407 552149094518 661485548878 828223641777 867662862814 992228323317 1301494294221 1656447283554 1984456646634 2602988588442 3036820019849 4772145745477 6073640039698 9110460059547 9544291490954 14316437236431 18220920119094 28632874472862 33405020218339 66810040436678 100215060655017 200430121310034