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434025202022130 = 235891078915066851
BaseRepresentation
bin110001010101111100101110…
…1111111010111011011110010
32002220202101220120200221122010
41202223321131333113123302
5423342032103204202010
64135032231503023350
7160264200054105105
oct14253713577273362
92086671816627563
10434025202022130
11116326066589584
1240818ba9b9ab56
1315824529b03754
147926d0906873c
153529ed168d620
hex18abe5dfd76f2

434025202022130 has 64 divisors (see below), whose sum is σ = 1053462238358400. Its totient is φ = 114428989171200.

The previous prime is 434025202022123. The next prime is 434025202022227. The reversal of 434025202022130 is 31220202520434.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21273205 + ... + 36340055.

It is an arithmetic number, because the mean of its divisors is an integer number (16460347474350).

Almost surely, 2434025202022130 is an apocalyptic number.

434025202022130 is an abundant number, since it is smaller than the sum of its proper divisors (619437036336270).

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

434025202022130 is a wasteful number, since it uses less digits than its factorization.

434025202022130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15077739.

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 434025202022130 its reverse (31220202520434), we get a palindrome (465245404542564).

The spelling of 434025202022130 in words is "four hundred thirty-four trillion, twenty-five billion, two hundred two million, twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 89 178 267 445 534 890 1335 2670 10789 21578 32367 53945 64734 107890 161835 323670 960221 1920442 2880663 4801105 5761326 9602210 14403315 15066851 28806630 30133702 45200553 75334255 90401106 150668510 226002765 452005530 1340949739 2681899478 4022849217 6704748695 8045698434 13409497390 20114246085 40228492170 162556255439 325112510878 487668766317 812781277195 975337532634 1625562554390 2438343831585 4876687663170 14467506734071 28935013468142 43402520202213 72337533670355 86805040404426 144675067340710 217012601011065 434025202022130