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13003102201122 = 23211232855314493
BaseRepresentation
bin1011110100111000010101…
…0010011010010100100010
31201001002021112211200012100
42331032011102122110202
53201020323130413442
643353313115311230
72511304665024465
oct275160522322442
951032245750170
1013003102201122
114163648225380
12156010874b516
137342585a4297
1432d4d40332dc
15178391bb784c
hexbd38549a522

13003102201122 has 48 divisors (see below), whose sum is σ = 32070892396608. Its totient is φ = 3769015129440.

The previous prime is 13003102201091. The next prime is 13003102201123. The reversal of 13003102201122 is 22110220130031.

13003102201122 is a `hidden beast` number, since 1 + 30 + 0 + 310 + 2 + 201 + 122 = 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 = 13003102201095 and 13003102201104.

It is not an unprimeable number, because it can be changed into a prime (13003102201123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427652693 + ... + 1427661800.

It is an arithmetic number, because the mean of its divisors is an integer number (668143591596).

Almost surely, 213003102201122 is an apocalyptic number.

13003102201122 is an abundant number, since it is smaller than the sum of its proper divisors (19067790195486).

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

13003102201122 is a wasteful number, since it uses less digits than its factorization.

13003102201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855314535 (or 2855314532 counting only the distinct ones).

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

Adding to 13003102201122 its reverse (22110220130031), we get a palindrome (35113322331153).

The spelling of 13003102201122 in words is "thirteen trillion, three billion, one hundred two million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 2277 4554 2855314493 5710628986 8565943479 17131886958 25697830437 31408459423 51395660874 62816918846 65672233339 94225378269 131344466678 188450756538 197016700017 282676134807 394033400034 565352269614 591050100051 722394566729 1182100200102 1444789133458 2167183700187 4334367400374 6501551100561 13003102201122