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1012332011320 = 235737316195987
BaseRepresentation
bin11101011101100111011…
…00001001111100111000
310120210000011021111202001
432232303230021330320
5113041223443330240
62053020420150344
7133065350055550
oct16566354117470
93523004244661
101012332011320
11360367035593
12144243b383b4
1374602158766
1436dd61ac160
151b4ee21a89a
hexebb3b09f38

1012332011320 has 128 divisors (see below), whose sum is σ = 2612166796800. Its totient is φ = 345883147776.

The previous prime is 1012332011293. The next prime is 1012332011329. The reversal of 1012332011320 is 231102332101.

It is a super-2 number, since 2×10123320113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012332011329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 169085367 + ... + 169091353.

It is an arithmetic number, because the mean of its divisors is an integer number (20407553100).

Almost surely, 21012332011320 is an apocalyptic number.

1012332011320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012332011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306083398400).

1012332011320 is an abundant number, since it is smaller than the sum of its proper divisors (1599834785480).

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

1012332011320 is a wasteful number, since it uses less digits than its factorization.

1012332011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7997 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1012332011320 its reverse (231102332101), we get a palindrome (1243434343421).

The spelling of 1012332011320 in words is "one trillion, twelve billion, three hundred thirty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 373 746 1492 1619 1865 2611 2984 3238 3730 5222 5987 6476 7460 8095 10444 11333 11974 12952 13055 14920 16190 20888 22666 23948 26110 29935 32380 41909 45332 47896 52220 56665 59870 64760 83818 90664 104440 113330 119740 167636 209545 226660 239480 335272 419090 453320 603887 838180 1207774 1676360 2233151 2415548 3019435 4227209 4466302 4831096 6038870 8454418 8932604 9692953 11165755 12077740 15632057 16908836 17865208 19385906 21136045 22331510 24155480 31264114 33817672 38771812 42272090 44663020 48464765 62528228 67850671 77543624 78160285 84544180 89326040 96929530 125056456 135701342 156320570 169088360 193859060 271402684 312641140 339253355 387718120 542805368 625282280 678506710 1357013420 2714026840 3615471469 7230942938 14461885876 18077357345 25308300283 28923771752 36154714690 50616600566 72309429380 101233201132 126541501415 144618858760 202466402264 253083002830 506166005660 1012332011320