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103033131001130 = 25116167832761223
BaseRepresentation
bin10111011011010101000101…
…001011000110010100101010
3111111210212112001102001012202
4113123111011023012110222
5102001043323014014010
61003044433354340202
730462620015231351
oct2733250513062452
9444725461361182
10103033131001130
112a914118422420
12b68061712a662
134564ca08cb815
141b62b89cda998
15bda1dc95b6a5
hex5db5452c652a

103033131001130 has 128 divisors (see below), whose sum is σ = 211220117047296. Its totient is φ = 35864960313600.

The previous prime is 103033131001121. The next prime is 103033131001183. The reversal of 103033131001130 is 31100131330301.

It is a super-3 number, since 3×1030331310011303 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35933699 + ... + 38694921.

It is an arithmetic number, because the mean of its divisors is an integer number (1650157164432).

Almost surely, 2103033131001130 is an apocalyptic number.

103033131001130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

103033131001130 is an abundant number, since it is smaller than the sum of its proper divisors (108186986046166).

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

103033131001130 is a wasteful number, since it uses less digits than its factorization.

103033131001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761452.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 103033131001130 its reverse (31100131330301), we get a palindrome (134133262331431).

The spelling of 103033131001130 in words is "one hundred three trillion, thirty-three billion, one hundred thirty-one million, one thousand, one hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 67 83 110 122 134 166 305 335 415 610 670 671 737 830 913 1342 1474 1826 3355 3685 4087 4565 5063 5561 6710 7370 8174 9130 10126 11122 20435 25315 27805 40870 44957 50630 55610 55693 61171 89914 111386 122342 224785 278465 305855 339221 449570 556930 611710 678442 1696105 2761223 3392210 3731431 5522446 7462862 13806115 18657155 27612230 30373453 37314310 60746906 151867265 168434603 185001941 229181509 303734530 336869206 370003882 458363018 842173015 925009705 1145907545 1684346030 1850019410 1852780633 2035021351 2291815090 2520996599 3705561266 4070042702 5041993198 9263903165 10175106755 11285118401 12604982995 13980072049 15355161103 18527806330 20350213510 22570236802 25209965990 27960144098 30710322206 56425592005 69900360245 76775805515 112851184010 124136302411 139800720490 153551611030 153780792539 168906772133 248272604822 307561585078 337813544266 620681512055 768903962695 844533860665 936664827283 1241363024110 1537807925390 1689067721330 1873329654566 4683324136415 9366648272830 10303313100113 20606626200226 51516565500565 103033131001130