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13023002200104 = 23321321070266453
BaseRepresentation
bin1011110110000010011101…
…1010111000100000101000
31201002222122102012100211200
42331200213122320200220
53201332102030400404
643410403513324200
72512611064153311
oct275404732704050
951088572170750
1013023002200104
11417102a262126
121563b41106660
137360aa337b00
14330460d27608
15178b58c7d839
hexbd8276b8828

13023002200104 has 72 divisors (see below), whose sum is σ = 38192458410990. Its totient is φ = 4007077596288.

The previous prime is 13023002200051. The next prime is 13023002200193. The reversal of 13023002200104 is 40100220032031.

13023002200104 is a `hidden beast` number, since 130 + 2 + 300 + 220 + 0 + 10 + 4 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9809236080900 + 3213766119204 = 3131970^2 + 1792698^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×130230022001042 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 535121059 + ... + 535145394.

Almost surely, 213023002200104 is an apocalyptic number.

It is an amenable number.

13023002200104 is an abundant number, since it is smaller than the sum of its proper divisors (25169456210886).

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

13023002200104 is a wasteful number, since it uses less digits than its factorization.

13023002200104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070266491 (or 1070266471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13023002200104 its reverse (40100220032031), we get a palindrome (53123222232135).

The spelling of 13023002200104 in words is "thirteen trillion, twenty-three billion, two million, two hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 338 468 507 676 936 1014 1352 1521 2028 3042 4056 6084 12168 1070266453 2140532906 3210799359 4281065812 6421598718 8562131624 9632398077 12843197436 13913463889 19264796154 25686394872 27826927778 38529592308 41740391667 55653855556 77059184616 83480783334 111307711112 125221175001 166961566668 180875030557 250442350002 333923133336 361750061114 500884700004 542625091671 723500122228 1001769400008 1085250183342 1447000244456 1627875275013 2170500366684 3255750550026 4341000733368 6511501100052 13023002200104