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1032113122020 = 2232547128395089
BaseRepresentation
bin11110000010011101011…
…11000110101011100100
310122200001201221001022200
433001032233012223210
5113402231424401040
62110051330054500
7134365503533331
oct17011657065344
93580051831280
101032113122020
11368797a4a862
1214804471a430
13764353943a6
1437d51395988
151bcaab4a630
hexf04ebc6ae4

1032113122020 has 144 divisors (see below), whose sum is σ = 3199880436480. Its totient is φ = 269161417728.

The previous prime is 1032113121983. The next prime is 1032113122043. The reversal of 1032113122020 is 202213112301.

1032113122020 is a `hidden beast` number, since 10 + 321 + 1 + 312 + 2 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032113121984 and 1032113122002.

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, 10806636 + ... + 10901724.

It is an arithmetic number, because the mean of its divisors is an integer number (22221391920).

Almost surely, 21032113122020 is an apocalyptic number.

1032113122020 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 1032113122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599940218240).

1032113122020 is an abundant number, since it is smaller than the sum of its proper divisors (2167767314460).

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

1032113122020 is a wasteful number, since it uses less digits than its factorization.

1032113122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96434 (or 96429 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1032113122020 its reverse (202213112301), we get a palindrome (1234326234321).

The spelling of 1032113122020 in words is "one trillion, thirty-two billion, one hundred thirteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1283 1410 1692 2115 2566 2820 3849 4230 5132 6415 7698 8460 11547 12830 15396 19245 23094 25660 38490 46188 57735 60301 76980 95089 115470 120602 180903 190178 230940 241204 285267 301505 361806 380356 475445 542709 570534 603010 723612 855801 904515 950890 1085418 1141068 1206020 1426335 1711602 1809030 1901780 2170836 2713545 2852670 3423204 3618060 4279005 4469183 5427090 5705340 8558010 8938366 10854180 13407549 17116020 17876732 22345915 26815098 40222647 44691830 53630196 67037745 80445294 89383660 121999187 134075490 160890588 201113235 243998374 268150980 365997561 402226470 487996748 609995935 731995122 804452940 1097992683 1219991870 1463990244 1829987805 2195985366 2439983740 3659975610 4391970732 5489963415 5733961789 7319951220 10979926830 11467923578 17201885367 21959853660 22935847156 28669808945 34403770734 51605656101 57339617890 68807541468 86009426835 103211312202 114679235780 172018853670 206422624404 258028280505 344037707340 516056561010 1032113122020