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1032030012020 = 225729764116937
BaseRepresentation
bin11110000010010011100…
…10000100001001110100
310122122211221112121211112
433001021302010021310
5113402044140341040
62110035200454152
7134363444235200
oct17011162041164
93578757477745
101032030012020
11368755045007
1214802091a358
13764210b5587
1437d4431db00
151bca36d0365
hexf049c84274

1032030012020 has 144 divisors (see below), whose sum is σ = 2551216871952. Its totient is φ = 349624074240.

The previous prime is 1032030011951. The next prime is 1032030012029. The reversal of 1032030012020 is 202100302301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3679878244 + 1028350133776 = 60662^2 + 1014076^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1032030011986 and 1032030012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032030012029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60924992 + ... + 60941928.

It is an arithmetic number, because the mean of its divisors is an integer number (17716783833).

Almost surely, 21032030012020 is an apocalyptic number.

1032030012020 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 1032030012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1275608435976).

1032030012020 is an abundant number, since it is smaller than the sum of its proper divisors (1519186859932).

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

1032030012020 is a wasteful number, since it uses less digits than its factorization.

1032030012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17698 (or 17689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1032030012020 its reverse (202100302301), we get a palindrome (1234130314321).

The spelling of 1032030012020 in words is "one trillion, thirty-two billion, thirty million, twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 97 98 140 194 196 245 388 485 490 641 679 970 980 1282 1358 1940 2564 2716 3205 3395 4487 4753 6410 6790 8974 9506 12820 13580 16937 17948 19012 22435 23765 31409 33874 44870 47530 62177 62818 67748 84685 89740 95060 118559 124354 125636 157045 169370 237118 248708 310885 314090 338740 435239 474236 592795 621770 628180 829913 870478 1185590 1243540 1642889 1659826 1740956 2176195 2371180 3046673 3285778 3319652 4149565 4352390 6093346 6571556 8214445 8299130 8704780 10856617 11500223 12186692 15233365 16428890 16598260 21713234 23000446 30466730 32857780 43426468 46000892 54283085 57501115 60933460 75996319 80501561 108566170 115002230 151992638 161003122 217132340 230004460 303985276 322006244 379981595 402507805 531974233 759963190 805015610 1053091849 1063948466 1519926380 1610031220 2106183698 2127896932 2659871165 4212367396 5265459245 5319742330 7371642943 10530918490 10639484660 14743285886 21061836980 29486571772 36858214715 51601500601 73716429430 103203001202 147432858860 206406002404 258007503005 516015006010 1032030012020