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30320131030020 = 223251378231656311
BaseRepresentation
bin1101110010011011101001…
…01000111011110000000100
310222100120120001201001212200
412321031310220323300010
512433231112020430040
6144252513110114500
76246362053266306
oct671156450736004
9128316501631780
1030320131030020
11972a771582147
1234982b264ba30
1313bc239b32030
1476b705d61976
15378a69987630
hex1b9374a3bc04

30320131030020 has 144 divisors (see below), whose sum is σ = 99058482012672. Its totient is φ = 7462458328320.

The previous prime is 30320131030009. The next prime is 30320131030067. The reversal of 30320131030020 is 2003013102303.

30320131030020 is a `hidden beast` number, since 3 + 0 + 32 + 0 + 1 + 310 + 300 + 20 = 666.

It is a super-2 number, since 2×303201310300202 (a number of 28 digits) contains 22 as substring.

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 = 30320131029975 and 30320131030002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17477665 + ... + 19133975.

It is an arithmetic number, because the mean of its divisors is an integer number (687906125088).

Almost surely, 230320131030020 is an apocalyptic number.

30320131030020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30320131030020 is an abundant number, since it is smaller than the sum of its proper divisors (68738350982652).

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

30320131030020 is a wasteful number, since it uses less digits than its factorization.

30320131030020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664162 (or 1664157 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 30320131030020 its reverse (2003013102303), we get a palindrome (32323144132323).

The spelling of 30320131030020 in words is "thirty trillion, three hundred twenty billion, one hundred thirty-one million, thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 7823 15646 23469 31292 39115 46938 70407 78230 93876 101699 117345 140814 156460 203398 234690 281628 305097 352035 406796 469380 508495 610194 704070 915291 1016990 1220388 1408140 1525485 1656311 1830582 2033980 3050970 3312622 3661164 4576455 4968933 6101940 6625244 8281555 9152910 9937866 14906799 16563110 18305820 19875732 21532043 24844665 29813598 33126220 43064086 49689330 59627196 64596129 74533995 86128172 99378660 107660215 129192258 149067990 193788387 215320430 258384516 298135980 322980645 387576774 430640860 645961290 775153548 968941935 1291922580 1937883870 3875767740 12957320953 25914641906 38871962859 51829283812 64786604765 77743925718 116615888577 129573209530 155487851436 168445172389 194359814295 233231777154 259146419060 336890344778 388719628590 466463554308 505335517167 583079442885 673780689556 777439257180 842225861945 1010671034334 1166158885770 1516006551501 1684451723890 2021342068668 2332317771540 2526677585835 3032013103002 3368903447780 5053355171670 6064026206004 7580032757505 10106710343340 15160065515010 30320131030020