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42231031000020 = 22335289726995379
BaseRepresentation
bin10011001101000101011011…
…00110011110101111010100
312112112020200011100200022000
421212202231212132233110
521013403122414000040
6225452400125235300
711616043213460442
oct1146425546365724
9175466604320260
1042231031000020
1112502097047715
1248a07a6a02b30
131a744a4cb5475
14a5ddc8391b92
154d37d554e130
hex2668ad99ebd4

42231031000020 has 96 divisors (see below), whose sum is σ = 131430786883200. Its totient is φ = 11257720515072.

The previous prime is 42231031000013. The next prime is 42231031000069. The reversal of 42231031000020 is 2000013013224.

42231031000020 is a `hidden beast` number, since 4 + 22 + 310 + 310 + 0 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42231030999957 and 42231031000002.

It is a congruent number.

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, 11933310 + ... + 15062069.

It is an arithmetic number, because the mean of its divisors is an integer number (1369070696700).

Almost surely, 242231031000020 is an apocalyptic number.

It is an amenable number.

42231031000020 is an abundant number, since it is smaller than the sum of its proper divisors (89199755883180).

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

42231031000020 is a wasteful number, since it uses less digits than its factorization.

42231031000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26998294 (or 26998286 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 42231031000020 its reverse (2000013013224), we get a palindrome (44231044013244).

The spelling of 42231031000020 in words is "forty-two trillion, two hundred thirty-one billion, thirty-one million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2897 5794 8691 11588 14485 17382 26073 28970 34764 43455 52146 57940 78219 86910 104292 130365 156438 173820 260730 312876 391095 521460 782190 1564380 26995379 53990758 80986137 107981516 134976895 161972274 242958411 269953790 323944548 404930685 485916822 539907580 728875233 809861370 971833644 1214792055 1457750466 1619722740 2429584110 2915500932 3644376165 4859168220 7288752330 14577504660 78205612963 156411225926 234616838889 312822451852 391028064815 469233677778 703850516667 782056129630 938467355556 1173084194445 1407701033334 1564112259260 2111551550001 2346168388890 2815402066668 3519252583335 4223103100002 4692336777780 7038505166670 8446206200004 10557757750005 14077010333340 21115515500010 42231031000020