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103310332221232 = 2429537517558863
BaseRepresentation
bin10111011111010111001111…
…101001110101011100110000
3111112210101000200102001110101
4113133113033221311130300
5102020114030022034412
61003420040022442144
730521632224562663
oct2737271751653460
9445711020361411
10103310332221232
112aa10736275964
12b706299293354
134585179261a06
141b7236516d6da
15be2513806457
hex5df5cfa75730

103310332221232 has 80 divisors (see below), whose sum is σ = 211001316301440. Its totient is φ = 48926338313216.

The previous prime is 103310332221227. The next prime is 103310332221289. The reversal of 103310332221232 is 232122233013301.

It is a happy number.

It is a super-2 number, since 2×1033103322212322 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103310332221232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184578633 + ... + 185137495.

It is an arithmetic number, because the mean of its divisors is an integer number (2637516453768).

Almost surely, 2103310332221232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103310332221232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105500658150720).

103310332221232 is an abundant number, since it is smaller than the sum of its proper divisors (107690984080208).

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

103310332221232 is a wasteful number, since it uses less digits than its factorization.

103310332221232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566470 (or 566464 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 103310332221232 its reverse (232122233013301), we get a palindrome (335432565234533).

The spelling of 103310332221232 in words is "one hundred three trillion, three hundred ten billion, three hundred thirty-two million, two hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 29 53 58 106 116 212 232 424 464 848 1537 3074 6148 7517 12296 15034 24592 30068 60136 120272 217993 398401 435986 558863 796802 871972 1117726 1593604 1743944 2235452 3187208 3487888 4470904 6374416 8941808 11553629 16207027 23107258 29619739 32414054 46214516 59239478 64828108 92429032 118478956 129656216 184858064 236957912 259312432 473915824 858972431 1717944862 3435889724 4200973171 6871779448 8401946342 13743558896 16803892684 33607785368 67215570736 121828221959 222651578063 243656443918 445303156126 487312887836 890606312252 974625775672 1781212624504 1949251551344 3562425249008 6456895763827 12913791527654 25827583055308 51655166110616 103310332221232