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1021132040240 = 245136731746229
BaseRepresentation
bin11101101110000000011…
…01100110100000110000
310121121201110002022000002
432313000031212200300
5113212234300241430
62101033535245132
7133526414062544
oct16670015464060
93547643068002
101021132040240
11364072463564
12145a9b0797a8
13753a5361970
14375ccc0ba24
151b866a96845
hexedc0366830

1021132040240 has 160 divisors (see below), whose sum is σ = 2603160262080. Its totient is φ = 370226368512.

The previous prime is 1021132040179. The next prime is 1021132040261. The reversal of 1021132040240 is 420402311201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22065446 + ... + 22111674.

It is an arithmetic number, because the mean of its divisors is an integer number (16269751638).

Almost surely, 21021132040240 is an apocalyptic number.

1021132040240 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 1021132040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301580131040).

1021132040240 is an abundant number, since it is smaller than the sum of its proper divisors (1582028221840).

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

1021132040240 is a wasteful number, since it uses less digits than its factorization.

1021132040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46639 (or 46633 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1021132040240 its reverse (420402311201), we get a palindrome (1441534351441).

The spelling of 1021132040240 in words is "one trillion, twenty-one billion, one hundred thirty-two million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 317 335 520 536 634 670 871 1040 1072 1268 1340 1585 1742 2536 2680 3170 3484 4121 4355 5072 5360 6340 6968 8242 8710 12680 13936 16484 17420 20605 21239 25360 32968 34840 41210 42478 46229 65936 69680 82420 84956 92458 106195 164840 169912 184916 212390 231145 276107 329680 339824 369832 424780 462290 552214 600977 739664 849560 924580 1104428 1201954 1380535 1699120 1849160 2208856 2403908 2761070 3004885 3097343 3698320 4417712 4807816 5522140 6009770 6194686 9615632 11044280 12019540 12389372 14654593 15486715 22088560 24039080 24778744 29309186 30973430 40265459 48078160 49557488 58618372 61946860 73272965 80530918 117236744 123893720 146545930 161061836 190509709 201327295 234473488 247787440 293091860 322123672 381019418 402654590 586183720 644247344 762038836 805309180 952548545 981857731 1172367440 1524077672 1610618360 1905097090 1963715462 3048155344 3221236720 3810194180 3927430924 4909288655 7620388360 7854861848 9818577310 12764150503 15240776720 15709723696 19637154620 25528301006 39274309240 51056602012 63820752515 78548618480 102113204024 127641505030 204226408048 255283010060 510566020120 1021132040240