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1001102022310 = 251329352775289
BaseRepresentation
bin11101001000101100101…
…01001001011010100110
310112201000112001221220011
432210112111021122212
5112400224104203220
62043522214400434
7132220145534035
oct16442625113246
93481015057804
101001102022310
11356623aa1635
1214202b06011a
13735326a6b50
143664c95071c
151b09339b65a
hexe9165496a6

1001102022310 has 64 divisors (see below), whose sum is σ = 2008110787200. Its totient is φ = 356785615872.

The previous prime is 1001102022289. The next prime is 1001102022341. The reversal of 1001102022310 is 132202011001.

It is a super-2 number, since 2×10011020223102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13259146 + ... + 13334434.

It is an arithmetic number, because the mean of its divisors is an integer number (31376731050).

Almost surely, 21001102022310 is an apocalyptic number.

1001102022310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001102022310 is an abundant number, since it is smaller than the sum of its proper divisors (1007008764890).

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

1001102022310 is a wasteful number, since it uses less digits than its factorization.

1001102022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78865.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1001102022310 its reverse (132202011001), we get a palindrome (1133304033311).

The spelling of 1001102022310 in words is "one trillion, one billion, one hundred two million, twenty-two thousand, three hundred ten".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 290 377 754 1885 3527 3770 7054 17635 35270 45851 75289 91702 102283 150578 204566 229255 376445 458510 511415 752890 978757 1022830 1329679 1957514 2183381 2659358 4366762 4893785 6648395 9787570 10916905 13296790 21833810 28383953 56767906 141919765 265544303 283839530 531088606 1327721515 2655443030 3452075939 6904151878 7700784787 15401569574 17260379695 34520759390 38503923935 77007847870 100110202231 200220404462 500551011155 1001102022310