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202434101434202 = 211210145491820669
BaseRepresentation
bin101110000001110011011100…
…101101001101011101011010
3222112202111210120220121220212
4232001303130231031131122
5203013140014431343302
61554312535314451122
760432244514163551
oct5601633455153532
9875674716817825
10202434101434202
11595579028a4800
121a855102b93aa2
1388c55b9171601
1437dbc116bad98
151860b9769e052
hexb81cdcb4d75a

202434101434202 has 48 divisors (see below), whose sum is σ = 337144205853000. Its totient is φ = 91084378704000.

The previous prime is 202434101434193. The next prime is 202434101434241.

It is a happy number.

202434101434202 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 197813282581321 + 4620818852881 = 14064611^2 + 2149609^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110276324 + ... + 112096992.

Almost surely, 2202434101434202 is an apocalyptic number.

202434101434202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202434101434202 is a deficient number, since it is larger than the sum of its proper divisors (134710104418798).

202434101434202 is a wasteful number, since it uses less digits than its factorization.

202434101434202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825343 (or 1825332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 20243410 and 1434202, that added together give a palindrome (21677612).

The spelling of 202434101434202 in words is "two hundred two trillion, four hundred thirty-four billion, one hundred one million, four hundred thirty-four thousand, two hundred two".

Divisors: 1 2 11 22 101 121 202 242 1111 2222 4549 9098 12221 24442 50039 100078 459449 550429 918898 1100858 1820669 3641338 5053939 10107878 20027359 40054718 55593329 111186658 183887569 220300949 367775138 440601898 2022763259 4045526518 8282223281 16564446562 22250395849 44500791698 91104456091 182208912182 836504551381 1002149017001 1673009102762 2004298034002 9201550065191 18403100130382 101217050717101 202434101434202