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103113220020 = 223519227398459
BaseRepresentation
bin110000000001000000…
…1101101111110110100
3100212011010201022020220
41200002001231332310
53142133441020040
6115211454054340
710310145623466
oct1400201557664
9325133638226
10103113220020
113a8037a7408
1217b984aa3b0
1399537b5b75
144dc26da136
152a376e52d0
hex180206dfb4

103113220020 has 96 divisors (see below), whose sum is σ = 305252236800. Its totient is φ = 25934834304.

The previous prime is 103113220019. The next prime is 103113220043. The reversal of 103113220020 is 20022311301.

It is a super-2 number, since 2×1031132200202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59551 + ... + 458009.

It is an arithmetic number, because the mean of its divisors is an integer number (3179710800).

Almost surely, 2103113220020 is an apocalyptic number.

103113220020 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 103113220020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152626118400).

103113220020 is an abundant number, since it is smaller than the sum of its proper divisors (202139016780).

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

103113220020 is a wasteful number, since it uses less digits than its factorization.

103113220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398717 (or 398715 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103113220020 its reverse (20022311301), we get a palindrome (123135531321).

The spelling of 103113220020 in words is "one hundred three billion, one hundred thirteen million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 227 228 285 380 454 570 681 908 1135 1140 1362 2270 2724 3405 4313 4540 6810 8626 12939 13620 17252 21565 25878 43130 51756 64695 86260 129390 258780 398459 796918 1195377 1593836 1992295 2390754 3984590 4781508 5976885 7570721 7969180 11953770 15141442 22712163 23907540 30282884 37853605 45424326 75707210 90450193 90848652 113560815 151414420 180900386 227121630 271350579 361800772 452250965 454243260 542701158 904501930 1085402316 1356752895 1718553667 1809003860 2713505790 3437107334 5155661001 5427011580 6874214668 8592768335 10311322002 17185536670 20622644004 25778305005 34371073340 51556610010 103113220020