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1131141323310 = 235438631016053
BaseRepresentation
bin10000011101011101010…
…001101101101000101110
311000010200011221220100120
4100131131101231220232
5122013034134321220
62223350020105410
7144502510415415
oct20353521555056
94003604856316
101131141323310
113a6794874129
12163280b35266
138288775bcbb
143ca6732a47c
151e6548c4a40
hex1075d46da2e

1131141323310 has 64 divisors (see below), whose sum is σ = 2781094238208. Its totient is φ = 294281172864.

The previous prime is 1131141323287. The next prime is 1131141323393. The reversal of 1131141323310 is 133231411311.

It is a super-2 number, since 2×11311413233102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 605244 + ... + 1621296.

It is an arithmetic number, because the mean of its divisors is an integer number (43454597472).

Almost surely, 21131141323310 is an apocalyptic number.

1131141323310 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 1131141323310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390547119104).

1131141323310 is an abundant number, since it is smaller than the sum of its proper divisors (1649952914898).

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

1131141323310 is a wasteful number, since it uses less digits than its factorization.

1131141323310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016969.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 1131141323310 its reverse (133231411311), we get a palindrome (1264372734621).

The spelling of 1131141323310 in words is "one trillion, one hundred thirty-one billion, one hundred forty-one million, three hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 258 430 645 863 1290 1726 2589 4315 5178 8630 12945 25890 37109 74218 111327 185545 222654 371090 556635 1016053 1113270 2032106 3048159 5080265 6096318 10160530 15240795 30481590 43690279 87380558 131070837 218451395 262141674 436902790 655354185 876853739 1310708370 1753707478 2630561217 4384268695 5261122434 8768537390 13152806085 26305612170 37704710777 75409421554 113114132331 188523553885 226228264662 377047107770 565570661655 1131141323310