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2042030331522 = 2321722941330149
BaseRepresentation
bin11101101101110010011…
…111100001011010000010
321020012211121022220201100
4131231302133201122002
5231424034231102042
64202032404515230
7300350262266526
oct35556237413202
97205747286640
102042030331522
11718024982a65
1228b9139abb16
1311a741150b1c
1470b9896dd86
15381b7d6924c
hex1db727e1682

2042030331522 has 144 divisors (see below), whose sum is σ = 4980636297000. Its totient is φ = 603457720320.

The previous prime is 2042030331499. The next prime is 2042030331559. The reversal of 2042030331522 is 2251330302402.

2042030331522 is a `hidden beast` number, since 2 + 0 + 4 + 20 + 303 + 315 + 22 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 450065215161 + 1591965116361 = 670869^2 + 1261731^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6020104 + ... + 6350252.

Almost surely, 22042030331522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042030331522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490318148500).

2042030331522 is an abundant number, since it is smaller than the sum of its proper divisors (2938605965478).

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

2042030331522 is a wasteful number, since it uses less digits than its factorization.

2042030331522 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330261 (or 330241 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 2042030331522 its reverse (2251330302402), we get a palindrome (4293360633924).

The spelling of 2042030331522 in words is "two trillion, forty-two billion, thirty million, three hundred thirty-one thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 29 34 41 51 58 82 87 102 123 153 174 246 261 289 306 369 493 522 578 697 738 867 986 1189 1394 1479 1734 2091 2378 2601 2958 3567 4182 4437 5202 6273 7134 8381 8874 10701 11849 12546 16762 20213 21402 23698 25143 35547 40426 50286 60639 71094 75429 106641 121278 150858 181917 213282 330149 343621 363834 660298 687242 990447 1030863 1980894 2061726 2971341 3092589 5612533 5942682 6185178 9574321 11225066 13536109 16837599 19148642 27072218 28722963 33675198 40608327 50512797 57445926 81216654 86168889 95413061 101025594 121824981 162763457 172337778 190826122 230113853 243649962 286239183 325526914 392547161 460227706 488290371 572478366 690341559 785094322 858717549 976580742 1177641483 1380683118 1464871113 1717435098 2071024677 2355282966 2766978769 2929742226 3532924449 3911935501 4142049354 5533957538 6673301737 7065848898 7823871002 8300936307 11735806503 13346603474 16601872614 20019905211 23471613006 24902808921 35207419509 40039810422 49805617842 60059715633 70414839018 113446129529 120119431266 226892259058 340338388587 680676777174 1021015165761 2042030331522