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13204414002 = 23131967711873
BaseRepresentation
bin11000100110000101…
…10101111000110010
31021002020102201202110
430103002311320302
5204020312222002
610022132230150
7645134444553
oct142302657062
937066381673
1013204414002
11566660274a
12268616b356
131325843130
148d397a32a
1552437de6c
hex3130b5e32

13204414002 has 128 divisors (see below), whose sum is σ = 30828349440. Its totient is φ = 3736212480.

The previous prime is 13204413991. The next prime is 13204414007. The reversal of 13204414002 is 20041440231.

It is a self number, because there is not a number n which added to its sum of digits gives 13204414002.

It is not an unprimeable number, because it can be changed into a prime (13204414007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7048938 + ... + 7050810.

It is an arithmetic number, because the mean of its divisors is an integer number (240846480).

Almost surely, 213204414002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13204414002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15414174720).

13204414002 is an abundant number, since it is smaller than the sum of its proper divisors (17623935438).

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

13204414002 is a wasteful number, since it uses less digits than its factorization.

13204414002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 13204414002 its reverse (20041440231), we get a palindrome (33245854233).

The spelling of 13204414002 in words is "thirteen billion, two hundred four million, four hundred fourteen thousand, two".

Divisors: 1 2 3 6 13 19 26 38 39 57 67 71 78 114 134 142 201 213 247 402 426 494 741 871 923 1273 1349 1482 1742 1846 1873 2546 2613 2698 2769 3746 3819 4047 4757 5226 5538 5619 7638 8094 9514 11238 14271 16549 17537 24349 28542 33098 35074 35587 48698 49647 52611 61841 71174 73047 90383 99294 105222 106761 123682 125491 132983 146094 180766 185523 213522 250982 265966 271149 371046 376473 398949 462631 542298 752946 797898 925262 1174979 1387893 1631383 1728779 2349958 2384329 2526677 2775786 3262766 3457558 3524937 4768658 4894149 5053354 5186337 7049874 7152987 7580031 8909861 9788298 10372674 14305974 15160062 17819722 26729583 30996277 32846801 53459166 61992554 65693602 92988831 98540403 115828193 169287359 185977662 197080806 231656386 338574718 347484579 507862077 694969158 1015724154 2200735667 4401471334 6602207001 13204414002