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2002053123 = 327219613917
BaseRepresentation
bin111011101010100…
…1110100000000011
312011112012211120200
41313111032200003
513100011144443
6530354540243
7100420112400
oct16725164003
95145184520
102002053123
1193811a164
1247a597683
1325ba15a25
1414dc712a7
15bab6add3
hex7754e803

2002053123 has 72 divisors (see below), whose sum is σ = 3600015120. Its totient is φ = 1065778560.

The previous prime is 2002053121. The next prime is 2002053143. The reversal of 2002053123 is 3213502002.

It is not a de Polignac number, because 2002053123 - 21 = 2002053121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002053096 and 2002053105.

It is not an unprimeable number, because it can be changed into a prime (2002053121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 509161 + ... + 513077.

It is an arithmetic number, because the mean of its divisors is an integer number (50000210).

Almost surely, 22002053123 is an apocalyptic number.

2002053123 is a deficient number, since it is larger than the sum of its proper divisors (1597961997).

2002053123 is a wasteful number, since it uses less digits than its factorization.

2002053123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2002053123 is about 44744.3082749080. The cubic root of 2002053123 is about 1260.3520312665.

Adding to 2002053123 its reverse (3213502002), we get a palindrome (5215555125).

The spelling of 2002053123 in words is "two billion, two million, fifty-three thousand, one hundred twenty-three".

Divisors: 1 3 7 9 19 21 49 57 61 63 133 147 171 183 399 427 441 549 931 1159 1197 1281 2793 2989 3477 3843 3917 8113 8379 8967 10431 11751 24339 26901 27419 35253 56791 73017 74423 82257 170373 191933 223269 238937 246771 511119 520961 575799 669807 716811 1562883 1672559 1727397 2150433 3646727 4539803 4688649 5017677 10940181 11707913 13619409 15053031 31778621 32820543 35123739 40858227 95335863 105371217 222450347 286007589 667351041 2002053123