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13122230000 = 245411119293
BaseRepresentation
bin11000011100010010…
…10101011011110000
31020212111210100111112
430032021111123300
5203333242330000
610010034532452
7643116054215
oct141611253360
936774710445
1013122230000
11562417a690
122662737128
1313117c9949
148c6aa5b0c
1551c048235
hex30e2556f0

13122230000 has 100 divisors (see below), whose sum is σ = 34658724408. Its totient is φ = 4771680000.

The previous prime is 13122229999. The next prime is 13122230003. The reversal of 13122230000 is 3222131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13122230003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50354 + ... + 169646.

Almost surely, 213122230000 is an apocalyptic number.

13122230000 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 13122230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17329362204).

13122230000 is an abundant number, since it is smaller than the sum of its proper divisors (21536494408).

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

13122230000 is a wasteful number, since it uses less digits than its factorization.

13122230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119332 (or 119311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 13122230000 its reverse (3222131), we get a palindrome (13125452131).

The spelling of 13122230000 in words is "thirteen billion, one hundred twenty-two million, two hundred thirty 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 119293 238586 477172 596465 954344 1192930 1312223 1908688 2385860 2624446 2982325 4771720 5248892 5964650 6561115 9543440 10497784 11929300 13122230 14911625 20995568 23858600 26244460 29823250 32805575 47717200 52488920 59646500 65611150 74558125 104977840 119293000 131222300 149116250 164027875 238586000 262444600 298232500 328055750 524889200 596465000 656111500 820139375 1192930000 1312223000 1640278750 2624446000 3280557500 6561115000 13122230000