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1021021131000 = 233531326180029
BaseRepresentation
bin11101101101110011001…
…10100001000011111000
310121121102201101112010110
432312321212201003320
5113212022402143000
62101014534144320
7133523566263153
oct16667146410370
93547381345113
101021021131000
113640158a0832
12145a69ab20a0
137538839b7b0
14375bc1bac9a
151b85be89850
hexedb99a10f8

1021021131000 has 128 divisors (see below), whose sum is σ = 3430631131200. Its totient is φ = 251328268800.

The previous prime is 1021021130981. The next prime is 1021021131017. The reversal of 1021021131000 is 1311201201.

It is a super-2 number, since 2×10210211310002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

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, 13051015 + ... + 13129014.

Almost surely, 21021021131000 is an apocalyptic number.

1021021131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021021131000 is an abundant number, since it is smaller than the sum of its proper divisors (2409610000200).

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

1021021131000 is a wasteful number, since it uses less digits than its factorization.

1021021131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26180066 (or 26180052 counting only the distinct ones).

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

Adding to 1021021131000 its reverse (1311201201), we get a palindrome (1022332332201).

The spelling of 1021021131000 in words is "one trillion, twenty-one billion, twenty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 39000 26180029 52360058 78540087 104720116 130900145 157080174 209440232 261800290 314160348 340340377 392700435 523600580 628320696 654500725 680680754 785400870 1021021131 1047201160 1309001450 1361361508 1570801740 1701701885 1963502175 2042042262 2618002900 2722723016 3141603480 3272503625 3403403770 3927004350 4084084524 5105105655 5236005800 6545007250 6806807540 7854008700 8168169048 8508509425 9817510875 10210211310 13090014500 13613615080 15708017400 17017018850 19635021750 20420422620 25525528275 26180029000 34034037700 39270043500 40840845240 42542547125 51051056550 68068075400 78540087000 85085094250 102102113100 127627641375 170170188500 204204226200 255255282750 340340377000 510510565500 1021021131000