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1123132101234 = 23111329165727241
BaseRepresentation
bin10000010101111111111…
…000111101001001110010
310222101000000012021010220
4100111333320331021302
5121400133304214414
62215543150433510
7144100155225633
oct20257770751162
93871000167126
101123132101234
113a3354878030
12161806802896
1381bac33a440
143c50774188a
151e3366a6ca9
hex1057fe3d272

1123132101234 has 128 divisors (see below), whose sum is σ = 2731714433280. Its totient is φ = 303135436800.

The previous prime is 1123132101197. The next prime is 1123132101241. The reversal of 1123132101234 is 4321012313211.

It is a super-2 number, since 2×11231321012342 (a number of 25 digits) contains 22 as substring.

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, 41215854 + ... + 41243094.

It is an arithmetic number, because the mean of its divisors is an integer number (21341519010).

Almost surely, 21123132101234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123132101234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365857216640).

1123132101234 is an abundant number, since it is smaller than the sum of its proper divisors (1608582332046).

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

1123132101234 is a wasteful number, since it uses less digits than its factorization.

1123132101234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28956.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1123132101234 its reverse (4321012313211), we get a palindrome (5444144414445).

The spelling of 1123132101234 in words is "one trillion, one hundred twenty-three billion, one hundred thirty-two million, one hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 638 754 858 957 1131 1657 1914 2262 3314 4147 4971 8294 9942 12441 18227 21541 24882 27241 36454 43082 48053 54482 54681 64623 81723 96106 109362 129246 144159 163446 236951 288318 299651 354133 473902 528583 599302 624689 708266 710853 789989 898953 1057166 1062399 1249378 1421706 1579978 1585749 1797906 1874067 2124798 2369967 3171498 3748134 3895463 4739934 6871579 7790926 8689879 10269857 11686389 13743158 17379758 20539714 20614737 23372778 26069637 30809571 41229474 45138337 52139274 61619142 90276674 112968427 135415011 225936854 270830022 338905281 496521707 586798381 677810562 993043414 1173596762 1309011773 1489565121 1760395143 2618023546 2979130242 3520790286 3927035319 6454782191 7854070638 12909564382 14399129503 17017153049 19364346573 28798259006 34034306098 38728693146 43197388509 51051459147 86394777018 102102918294 187188683539 374377367078 561566050617 1123132101234