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13530152020 = 2257118998717
BaseRepresentation
bin11001001100111010…
…11011110001010100
31021220221100221022111
430212131123301110
5210202204331040
610114330040404
7656201252230
oct144635336124
937827327274
1013530152020
115813466520
122757279104
131378183018
14924d2d5c0
15542c73dea
hex32675bc54

13530152020 has 96 divisors (see below), whose sum is σ = 35822787840. Its totient is φ = 4169763840.

The previous prime is 13530151963. The next prime is 13530152029. The reversal of 13530152020 is 2025103531.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13530151982 and 13530152000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13530152029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87702 + ... + 186418.

It is an arithmetic number, because the mean of its divisors is an integer number (373154040).

Almost surely, 213530152020 is an apocalyptic number.

13530152020 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 13530152020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17911393920).

13530152020 is an abundant number, since it is smaller than the sum of its proper divisors (22292635820).

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

13530152020 is a wasteful number, since it uses less digits than its factorization.

13530152020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98833 (or 98831 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

Adding to 13530152020 its reverse (2025103531), we get a palindrome (15555255551).

The spelling of 13530152020 in words is "thirteen billion, five hundred thirty million, one hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 89 110 140 154 178 220 308 356 385 445 623 770 890 979 1246 1540 1780 1958 2492 3115 3916 4895 6230 6853 9790 12460 13706 19580 27412 34265 68530 98717 137060 197434 394868 493585 691019 987170 1085887 1382038 1974340 2171774 2764076 3455095 4343548 5429435 6910190 7601209 8785813 10858870 13820380 15202418 17571626 21717740 30404836 35143252 38006045 43929065 61500691 76012090 87858130 96643943 123001382 152024180 175716260 193287886 246002764 307503455 386575772 483219715 615006910 676507601 966439430 1230013820 1353015202 1932878860 2706030404 3382538005 6765076010 13530152020