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1202021131300 = 22521167158310303
BaseRepresentation
bin10001011111011110000…
…010101110010000100100
311020220121220211012220021
4101133132002232100210
5124143214402200200
62320111220244524
7152562130015063
oct21373602562044
94226556735807
101202021131300
11423857656a40
12174b62540744
13894722503a2
144226cb241da
152140237441a
hex117de0ae424

1202021131300 has 144 divisors (see below), whose sum is σ = 2890087022592. Its totient is φ = 430260969600.

The previous prime is 1202021131279. The next prime is 1202021131351. The reversal of 1202021131300 is 31311202021.

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 47 ways as a sum of consecutive naturals, for example, 116661949 + ... + 116672251.

It is an arithmetic number, because the mean of its divisors is an integer number (20070048768).

Almost surely, 21202021131300 is an apocalyptic number.

1202021131300 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 1202021131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1445043511296).

1202021131300 is an abundant number, since it is smaller than the sum of its proper divisors (1688065891292).

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

1202021131300 is a wasteful number, since it uses less digits than its factorization.

1202021131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11978 (or 11971 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1202021131300 its reverse (31311202021), we get a palindrome (1233332333321).

The spelling of 1202021131300 in words is "one trillion, two hundred two billion, twenty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 134 220 268 275 335 550 670 737 1100 1340 1474 1583 1675 2948 3166 3350 3685 6332 6700 7370 7915 10303 14740 15830 17413 18425 20606 31660 34826 36850 39575 41212 51515 69652 73700 79150 87065 103030 106061 113333 158300 174130 206060 212122 226666 257575 348260 424244 435325 453332 515150 530305 566665 690301 870650 1030300 1060610 1133330 1166671 1380602 1741300 2121220 2266660 2333342 2651525 2761204 2833325 3451505 4666684 5303050 5666650 5833355 6903010 7593311 10606100 11333300 11666710 13806020 15186622 16309649 17257525 23333420 29166775 30373244 32619298 34515050 37966555 58333550 65238596 69030100 75933110 81548245 116667100 151866220 163096490 179406139 189832775 326192980 358812278 379665550 407741225 717624556 759331100 815482450 897030695 1092746483 1630964900 1794061390 2185492966 3588122780 4370985932 4485153475 5463732415 8970306950 10927464830 12020211313 17940613900 21854929660 24040422626 27318662075 48080845252 54637324150 60101056565 109274648300 120202113130 240404226260 300505282825 601010565650 1202021131300