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1021131300 = 223527736661
BaseRepresentation
bin111100110111010…
…011101000100100
32122011102211210210
4330313103220210
54042402200200
6245154215420
734206321120
oct7467235044
92564384723
101021131300
11484447072
12245b84570
13133728507
149988c580
155e9a7650
hex3cdd3a24

1021131300 has 144 divisors (see below), whose sum is σ = 3423308672. Its totient is φ = 230169600.

The previous prime is 1021131283. The next prime is 1021131323. The reversal of 1021131300 is 31311201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149970 + ... + 156630.

Almost surely, 21021131300 is an apocalyptic number.

1021131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711654336).

1021131300 is an abundant number, since it is smaller than the sum of its proper divisors (2402177372).

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

1021131300 is a wasteful number, since it uses less digits than its factorization.

1021131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1021131300 is about 31955.1451256288. The cubic root of 1021131300 is about 1006.9947263942.

Adding to 1021131300 its reverse (31311201), we get a palindrome (1052442501).

The spelling of 1021131300 in words is "one billion, twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 876 1022 1050 1095 1460 1533 1825 2044 2100 2190 2555 3066 3650 4380 5110 5475 6132 6661 7300 7665 10220 10950 12775 13322 15330 19983 21900 25550 26644 30660 33305 38325 39966 46627 51100 66610 76650 79932 93254 99915 133220 139881 153300 166525 186508 199830 233135 279762 333050 399660 466270 486253 499575 559524 666100 699405 932540 972506 999150 1165675 1398810 1458759 1945012 1998300 2331350 2431265 2797620 2917518 3403771 3497025 4662700 4862530 5835036 6807542 6994050 7293795 9725060 10211313 12156325 13615084 13988100 14587590 17018855 20422626 24312650 29175180 34037710 36468975 40845252 48625300 51056565 68075420 72937950 85094275 102113130 145875900 170188550 204226260 255282825 340377100 510565650 1021131300