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1013023122232 = 23111031732232897
BaseRepresentation
bin11101011110111001110…
…00100010001100111000
310120211210022201120200111
432233130320202030320
5113044132404402412
62053213145114104
7133121441315302
oct16573470421470
93524708646614
101013023122232
11360691163430
121443b7488934
13746b23a4b24
143705dcb0972
151b53ec342a7
hexebdce22338

1013023122232 has 128 divisors (see below), whose sum is σ = 2114469826560. Its totient is φ = 451169925120.

The previous prime is 1013023122187. The next prime is 1013023122233. The reversal of 1013023122232 is 2322213203101.

It is a super-2 number, since 2×10130231222322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013023122233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349678608 + ... + 349681504.

It is an arithmetic number, because the mean of its divisors is an integer number (16519295520).

Almost surely, 21013023122232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013023122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057234913280).

1013023122232 is an abundant number, since it is smaller than the sum of its proper divisors (1101446704328).

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

1013023122232 is a wasteful number, since it uses less digits than its factorization.

1013023122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 1013023122232 its reverse (2322213203101), we get a palindrome (3335236325333).

The spelling of 1013023122232 in words is "one trillion, thirteen billion, twenty-three million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 22 44 88 103 173 206 223 346 412 446 692 824 892 1133 1384 1784 1903 2266 2453 2897 3806 4532 4906 5794 7612 9064 9812 11588 15224 17819 19624 22969 23176 31867 35638 38579 45938 63734 71276 77158 91876 127468 142552 154316 183752 196009 252659 254936 298391 308632 392018 424369 501181 505318 596782 646031 784036 848738 1002362 1010636 1193564 1292062 1568072 1697476 2004724 2021272 2387128 2584124 3282301 3394952 3973637 4009448 5168248 5512991 6564602 7106341 7947274 11025982 13129204 14212682 15894548 22051964 26258408 28425364 31789096 43710007 44103928 51621643 56850728 66541193 87420014 103243286 111763363 133082386 174840028 206486572 223526726 266164772 349680056 412973144 447053452 532329544 567838073 731953123 894106904 1135676146 1229396993 1463906246 2271352292 2458793986 2927812492 4542704584 4917587972 5855624984 9835175944 11511626389 23023252778 46046505556 92093011112 126627890279 253255780558 506511561116 1013023122232