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31020130020 = 223511103145587
BaseRepresentation
bin11100111000111100…
…011001111011100100
32222001211211212200110
4130320330121323210
51002012123130040
622130033013020
72145464516565
oct347074317344
988054755613
1031020130020
11121790668a0
1260186b4170
132c0482c929
141703b1616c
15c18484980
hex738f19ee4

31020130020 has 96 divisors (see below), whose sum is σ = 94846381056. Its totient is φ = 7512572800.

The previous prime is 31020130019. The next prime is 31020130051. The reversal of 31020130020 is 2003102013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 31020129978 and 31020130005.

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, 657667 + ... + 703253.

It is an arithmetic number, because the mean of its divisors is an integer number (987983136).

Almost surely, 231020130020 is an apocalyptic number.

31020130020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47423190528).

31020130020 is an abundant number, since it is smaller than the sum of its proper divisors (63826251036).

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

31020130020 is a wasteful number, since it uses less digits than its factorization.

31020130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46641 (or 46639 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31020130020 its reverse (2003102013), we get a palindrome (33023232033).

The spelling of 31020130020 in words is "thirty-one billion, twenty million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1031 2062 3093 4124 5155 6186 10310 11341 12372 15465 20620 22682 30930 34023 45364 45587 56705 61860 68046 91174 113410 136092 136761 170115 182348 226820 227935 273522 340230 455870 501457 547044 680460 683805 911740 1002914 1367610 1504371 2005828 2507285 2735220 3008742 5014570 6017484 7521855 10029140 15043710 30087420 47000197 94000394 141000591 188000788 235000985 282001182 470001970 517002167 564002364 705002955 940003940 1034004334 1410005910 1551006501 2068008668 2585010835 2820011820 3102013002 5170021670 6204026004 7755032505 10340043340 15510065010 31020130020