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1121132033310 = 235671373406247
BaseRepresentation
bin10000010100001000101…
…011010011010100011110
310222011211121201021202010
4100110020223103110132
5121332034300031220
62215012502212050
7143666461022052
oct20241053232436
93864747637663
101121132033310
113a2518894433
12161348a24026
1381950b6b1b3
143c397c69c62
151e26acce1e0
hex10508ad351e

1121132033310 has 64 divisors (see below), whose sum is σ = 2732872545792. Its totient is φ = 294291102336.

The previous prime is 1121132033309. The next prime is 1121132033467. The reversal of 1121132033310 is 133302311211.

It is a happy number.

It is a super-2 number, since 2×11211320333102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2556607 + ... + 2962853.

It is an arithmetic number, because the mean of its divisors is an integer number (42701133528).

Almost surely, 21121132033310 is an apocalyptic number.

1121132033310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121132033310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366436272896).

1121132033310 is an abundant number, since it is smaller than the sum of its proper divisors (1611740512482).

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

1121132033310 is a wasteful number, since it uses less digits than its factorization.

1121132033310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407697.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1121132033310 its reverse (133302311211), we get a palindrome (1254434344521).

The spelling of 1121132033310 in words is "one trillion, one hundred twenty-one billion, one hundred thirty-two million, thirty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 1373 2010 2746 4119 6865 8238 13730 20595 41190 91991 183982 275973 406247 459955 551946 812494 919910 1218741 1379865 2031235 2437482 2759730 4062470 6093705 12187410 27218549 54437098 81655647 136092745 163311294 272185490 408278235 557777131 816556470 1115554262 1673331393 2788885655 3346662786 5577771310 8366656965 16733313930 37371067777 74742135554 112113203331 186855338885 224226406662 373710677770 560566016655 1121132033310