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103131102221000 = 23537127116007989
BaseRepresentation
bin10111011100110000010100…
…101101101001001011001000
3111112011020101211112200022122
4113130300110231221023020
5102004144444132033000
61003201435125510412
730502655565660110
oct2734602455511310
9445136354480278
10103131102221000
112a951722643a27
12b6975b9572408
1345712b4cc8239
141b67801730040
15bdca239eb085
hex5dcc14b692c8

103131102221000 has 128 divisors (see below), whose sum is σ = 277973705318400. Its totient is φ = 35080815571200.

The previous prime is 103131102220933. The next prime is 103131102221003. The reversal of 103131102221000 is 122201131301.

It is a super-2 number, since 2×1031311022210002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103131102221000.

It is not an unprimeable number, because it can be changed into a prime (103131102221003) 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, 57114995 + ... + 58892994.

It is an arithmetic number, because the mean of its divisors is an integer number (2171669572800).

Almost surely, 2103131102221000 is an apocalyptic number.

103131102221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103131102221000 is an abundant number, since it is smaller than the sum of its proper divisors (174842603097400).

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

103131102221000 is a wasteful number, since it uses less digits than its factorization.

103131102221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116008144 (or 116008130 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 103131102221000 its reverse (122201131301), we get a palindrome (103253303352301).

The spelling of 103131102221000 in words is "one hundred three trillion, one hundred thirty-one billion, one hundred two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 127 140 175 200 250 254 280 350 500 508 635 700 875 889 1000 1016 1270 1400 1750 1778 2540 3175 3500 3556 4445 5080 6350 7000 7112 8890 12700 15875 17780 22225 25400 31750 35560 44450 63500 88900 111125 127000 177800 222250 444500 889000 116007989 232015978 464031956 580039945 812055923 928063912 1160079890 1624111846 2320159780 2900199725 3248223692 4060279615 4640319560 5800399450 6496447384 8120559230 11600798900 14500998625 14733014603 16241118460 20301398075 23201597800 29001997250 29466029206 32482236920 40602796150 58003994500 58932058412 73665073015 81205592300 101506990375 103131102221 116007989000 117864116824 147330146030 162411184600 203013980750 206262204442 294660292060 368325365075 406027961500 412524408884 515655511105 589320584120 736650730150 812055923000 825048817768 1031311022210 1473301460300 1841626825375 2062622044420 2578277555525 2946602920600 3683253650750 4125244088840 5156555111050 7366507301500 10313110222100 12891387777625 14733014603000 20626220444200 25782775555250 51565551110500 103131102221000