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103133232020 = 22571357199241
BaseRepresentation
bin110000000001100111…
…0000011101110010100
3100212012112101000120002
41200003032003232110
53142204101411040
6115213451030432
710310511002510
oct1400316035624
9325175330502
10103133232020
113a814025755
1217ba313b418
1399579a18a0
144dc5229140
152a39349a15
hex1803383b94

103133232020 has 96 divisors (see below), whose sum is σ = 267029258496. Its totient is φ = 32582476800.

The previous prime is 103133231987. The next prime is 103133232049. The reversal of 103133232020 is 20232331301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103133231983 and 103133232001.

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, 989600 + ... + 1088840.

It is an arithmetic number, because the mean of its divisors is an integer number (2781554776).

Almost surely, 2103133232020 is an apocalyptic number.

103133232020 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 103133232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133514629248).

103133232020 is an abundant number, since it is smaller than the sum of its proper divisors (163896026476).

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

103133232020 is a wasteful number, since it uses less digits than its factorization.

103133232020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99841 (or 99839 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103133232020 its reverse (20232331301), we get a palindrome (123365563321).

The spelling of 103133232020 in words is "one hundred three billion, one hundred thirty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 571 910 1142 1820 2284 2855 3997 5710 7423 7994 11420 14846 15988 19985 29692 37115 39970 51961 74230 79940 99241 103922 148460 198482 207844 259805 396964 496205 519610 694687 992410 1039220 1290133 1389374 1984820 2580266 2778748 3473435 5160532 6450665 6946870 9030931 12901330 13893740 18061862 25802660 36123724 45154655 56666611 90309310 113333222 180618620 226666444 283333055 396666277 566666110 736665943 793332554 1133332220 1473331886 1586665108 1983331385 2946663772 3683329715 3966662770 5156661601 7366659430 7933325540 10313323202 14733318860 20626646404 25783308005 51566616010 103133232020