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13122010000 = 245411119291
BaseRepresentation
bin11000011100010000…
…11111101110010000
31020212111101011201101
430032020133232100
5203333213310000
610010030114144
7643114146631
oct141610375620
936774334641
1013122010000
11562403a370
12266264b954
131311750778
148c6a49888
1551c002e6a
hex30e21fb90

13122010000 has 100 divisors (see below), whose sum is σ = 34658143344. Its totient is φ = 4771600000.

The previous prime is 13122009983. The next prime is 13122010021. The reversal of 13122010000 is 1022131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50355 + ... + 169645.

Almost surely, 213122010000 is an apocalyptic number.

13122010000 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 13122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329071672).

13122010000 is an abundant number, since it is smaller than the sum of its proper divisors (21536133344).

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

13122010000 is a wasteful number, since it uses less digits than its factorization.

13122010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119330 (or 119309 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 13122010000 its reverse (1022131), we get a palindrome (13123032131).

The spelling of 13122010000 in words is "thirteen billion, one hundred twenty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 119291 238582 477164 596455 954328 1192910 1312201 1908656 2385820 2624402 2982275 4771640 5248804 5964550 6561005 9543280 10497608 11929100 13122010 14911375 20995216 23858200 26244020 29822750 32805025 47716400 52488040 59645500 65610050 74556875 104976080 119291000 131220100 149113750 164025125 238582000 262440200 298227500 328050250 524880400 596455000 656100500 820125625 1192910000 1312201000 1640251250 2624402000 3280502500 6561005000 13122010000