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13202134000 = 2453112920693
BaseRepresentation
bin11000100101110100…
…01001001111110000
31021002002010220011221
430102322021033300
5204014221242000
610022011314424
7645106200406
oct142272111760
937062126157
1013202134000
115665295750
12268544ba14
131325225413
148d3545476
1552407d61a
hex312e893f0

13202134000 has 160 divisors (see below), whose sum is σ = 36027426240. Its totient is φ = 4635008000.

The previous prime is 13202133961. The next prime is 13202134003. The reversal of 13202134000 is 43120231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13202134003) 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, 627654 + ... + 648346.

It is an arithmetic number, because the mean of its divisors is an integer number (225171414).

Almost surely, 213202134000 is an apocalyptic number.

13202134000 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 13202134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013713120).

13202134000 is an abundant number, since it is smaller than the sum of its proper divisors (22825292240).

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

13202134000 is a wasteful number, since it uses less digits than its factorization.

13202134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20756 (or 20740 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13202134000 its reverse (43120231), we get a palindrome (13245254231).

The spelling of 13202134000 in words is "thirteen billion, two hundred two million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 29 40 44 50 55 58 80 88 100 110 116 125 145 176 200 220 232 250 275 290 319 400 440 464 500 550 580 638 725 880 1000 1100 1160 1276 1375 1450 1595 2000 2200 2320 2552 2750 2900 3190 3625 4400 5104 5500 5800 6380 7250 7975 11000 11600 12760 14500 15950 20693 22000 25520 29000 31900 39875 41386 58000 63800 79750 82772 103465 127600 159500 165544 206930 227623 319000 331088 413860 455246 517325 600097 638000 827720 910492 1034650 1138115 1200194 1655440 1820984 2069300 2276230 2400388 2586625 3000485 3641968 4138600 4552460 4800776 5173250 5690575 6000970 6601067 8277200 9104920 9601552 10346500 11381150 12001940 13202134 15002425 18209840 20693000 22762300 24003880 26404268 28452875 30004850 33005335 41386000 45524600 48007760 52808536 56905750 60009700 66010670 75012125 91049200 105617072 113811500 120019400 132021340 150024250 165026675 227623000 240038800 264042680 300048500 330053350 455246000 528085360 600097000 660106700 825133375 1200194000 1320213400 1650266750 2640426800 3300533500 6601067000 13202134000