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10021241131000 = 2353112931414549
BaseRepresentation
bin1001000111010100000010…
…0001001000111111111000
31022111000120112011111201221
42101311000201020333320
52303142000212143000
633151410012121424
72053003461105031
oct221650041107770
938430515144657
1010021241131000
113213a91402140
12115a225466274
13578cca9c8ba8
142690601ada88
15125a1eb2161a
hex91d40848ff8

10021241131000 has 128 divisors (see below), whose sum is σ = 26463616920000. Its totient is φ = 3518429376000.

The previous prime is 10021241130973. The next prime is 10021241131001. The reversal of 10021241131000 is 13114212001.

It is a super-2 number, since 2×100212411310002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021241131001) by changing a digit.

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, 15388275 + ... + 16026274.

Almost surely, 210021241131000 is an apocalyptic number.

10021241131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021241131000 is an abundant number, since it is smaller than the sum of its proper divisors (16442375789000).

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

10021241131000 is a wasteful number, since it uses less digits than its factorization.

10021241131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31414610 (or 31414596 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10021241131000 its reverse (13114212001), we get a palindrome (10034355343001).

The spelling of 10021241131000 in words is "ten trillion, twenty-one billion, two hundred forty-one million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 29 40 44 50 55 58 88 100 110 116 125 145 200 220 232 250 275 290 319 440 500 550 580 638 725 1000 1100 1160 1276 1375 1450 1595 2200 2552 2750 2900 3190 3625 5500 5800 6380 7250 7975 11000 12760 14500 15950 29000 31900 39875 63800 79750 159500 319000 31414549 62829098 125658196 157072745 251316392 314145490 345560039 628290980 691120078 785363725 911021921 1256581960 1382240156 1570727450 1727800195 1822043842 2764480312 3141454900 3455600390 3644087684 3926818625 4555109605 6282909800 6911200780 7288175368 7853637250 8639000975 9110219210 10021241131 13822401560 15707274500 17278001950 18220438420 20042482262 22775548025 31414549000 34556003900 36440876840 40084964524 43195004875 45551096050 50106205655 69112007800 80169929048 86390009750 91102192100 100212411310 113877740125 172780019500 182204384200 200424822620 227755480250 250531028275 345560039000 400849645240 455510960500 501062056550 911021921000 1002124113100 1252655141375 2004248226200 2505310282750 5010620565500 10021241131000