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32210113131330 = 2355359714835983
BaseRepresentation
bin1110101001011100000000…
…10110011111001101000010
311020001020221011110121002020
413110232000112133031002
513210212302430200310
6152301042141502310
76533050426136211
oct724560026371502
9136036834417066
1032210113131330
11a299261168312
123742651871996
1314c8529270664
147d4d990cd078
153accd3ed4170
hex1d4b8059f342

32210113131330 has 128 divisors (see below), whose sum is σ = 81225961021440. Its totient is φ = 8167780158720.

The previous prime is 32210113131269. The next prime is 32210113131347. The reversal of 32210113131330 is 3313131101223.

It is a self number, because there is not a number n which added to its sum of digits gives 32210113131330.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4242519 + ... + 9078501.

It is an arithmetic number, because the mean of its divisors is an integer number (634577820480).

Almost surely, 232210113131330 is an apocalyptic number.

32210113131330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32210113131330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40612980510720).

32210113131330 is an abundant number, since it is smaller than the sum of its proper divisors (49015847890110).

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

32210113131330 is a wasteful number, since it uses less digits than its factorization.

32210113131330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836176.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 32210113131330 its reverse (3313131101223), we get a palindrome (35523244232553).

The spelling of 32210113131330 in words is "thirty-two trillion, two hundred ten billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 59 71 106 118 142 159 177 213 265 295 318 354 355 426 530 590 710 795 885 1065 1590 1770 2130 3127 3763 4189 6254 7526 8378 9381 11289 12567 15635 18762 18815 20945 22578 25134 31270 37630 41890 46905 56445 62835 93810 112890 125670 222017 444034 666051 1110085 1332102 2220170 3330255 4835983 6660510 9671966 14507949 24179915 29015898 48359830 72539745 145079490 256307099 285322997 343354793 512614198 570645994 686709586 768921297 855968991 1030064379 1281535495 1426614985 1537842594 1711937982 1716773965 2060128758 2563070990 2853229970 3433547930 3844606485 4279844955 5150321895 7689212970 8559689910 10300643790 15122118841 18197804029 20257932787 30244237682 36395608058 40515865574 45366356523 54593412087 60773798361 75610594205 90732713046 90989020145 101289663935 109186824174 121547596722 151221188410 181978040290 202579327870 226831782615 272967060435 303868991805 453663565230 545934120870 607737983610 1073670437711 2147340875422 3221011313133 5368352188555 6442022626266 10736704377110 16105056565665 32210113131330