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31002011000 = 2353431993623
BaseRepresentation
bin11100110111110111…
…010010010101111000
32222000120202100001122
4130313313102111320
51001443003323000
622124144404412
72145154513502
oct346767222570
988016670048
1031002011000
11121699107a4
126012616708
132c00b5770c
14170155ad72
15c16aa6085
hex737dd2578

31002011000 has 128 divisors (see below), whose sum is σ = 74625408000. Its totient is φ = 12048220800.

The previous prime is 31002010999. The next prime is 31002011009. The reversal of 31002011000 is 11020013.

It is a super-2 number, since 2×310020110002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002011009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8555189 + ... + 8558811.

It is an arithmetic number, because the mean of its divisors is an integer number (583011000).

Almost surely, 231002011000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31002011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37312704000).

31002011000 is an abundant number, since it is smaller than the sum of its proper divisors (43623397000).

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

31002011000 is a wasteful number, since it uses less digits than its factorization.

31002011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3886 (or 3872 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 31002011000 its reverse (11020013), we get a palindrome (31013031013).

The spelling of 31002011000 in words is "thirty-one billion, two million, eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 199 200 215 250 344 398 430 500 796 860 995 1000 1075 1592 1720 1990 2150 3623 3980 4300 4975 5375 7246 7960 8557 8600 9950 10750 14492 17114 18115 19900 21500 24875 28984 34228 36230 39800 42785 43000 49750 68456 72460 85570 90575 99500 144920 155789 171140 181150 199000 213925 311578 342280 362300 427850 452875 623156 720977 724600 778945 855700 905750 1069625 1246312 1441954 1557890 1711400 1811500 2139250 2883908 3115780 3604885 3623000 3894725 4278500 5767816 6231560 7209770 7789450 8557000 14419540 15578900 18024425 19473625 28839080 31002011 31157800 36048850 38947250 62004022 72097700 77894500 90122125 124008044 144195400 155010055 155789000 180244250 248016088 310020110 360488500 620040220 720977000 775050275 1240080440 1550100550 3100201100 3875251375 6200402200 7750502750 15501005500 31002011000