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31102002000 = 243353575963
BaseRepresentation
bin11100111101110100…
…101110001101010000
32222021112220101221000
4130331310232031100
51002144103031000
622142115502000
72150510440446
oct347564561520
988245811830
1031102002000
11122102a6493
12603bbb7900
132c187970a4
141710948b96
15c20758000
hex73dd2e350

31102002000 has 160 divisors (see below), whose sum is σ = 111414476160. Its totient is φ = 8293852800.

The previous prime is 31102001999. The next prime is 31102002017. The reversal of 31102002000 is 20020113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233982 + ... + 341981.

It is an arithmetic number, because the mean of its divisors is an integer number (696340476).

Almost surely, 231102002000 is an apocalyptic number.

31102002000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31102002000 is an abundant number, since it is smaller than the sum of its proper divisors (80312474160).

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

31102002000 is a wasteful number, since it uses less digits than its factorization.

31102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575995 (or 575973 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 31102002000 its reverse (20020113), we get a palindrome (31122022113).

The spelling of 31102002000 in words is "thirty-one billion, one hundred two million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 54000 575963 1151926 1727889 2303852 2879815 3455778 4607704 5183667 5759630 6911556 8639445 9215408 10367334 11519260 13823112 14399075 15551001 17278890 20734668 23038520 25918335 27646224 28798150 31102002 34557780 41469336 43197225 46077040 51836670 57596300 62204004 69115560 71995375 77755005 82938672 86394450 103673340 115192600 124408008 129591675 138231120 143990750 155510010 172788900 207346680 215986125 230385200 248816016 259183350 287981500 311020020 345577800 388775025 414693360 431972250 518366700 575963000 622040040 647958375 691155600 777550050 863944500 1036733400 1151926000 1244080080 1295916750 1555100100 1727889000 1943875125 2073466800 2591833500 3110200200 3455778000 3887750250 5183667000 6220400400 7775500500 10367334000 15551001000 31102002000