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1130122231029 = 341143312879
BaseRepresentation
bin10000011100100000100…
…010001011110011110101
311000001001011100122120000
4100130200202023303311
5122003442242343104
62223100533301513
7144435324316041
oct20344042136365
94001034318500
101130122231029
113a63115a0000
12163037794899
138275459890c
143c9abc4d021
151e5e51c1639
hex1072088bcf5

1130122231029 has 100 divisors (see below), whose sum is σ = 1863273772800. Its totient is φ = 682616127600.

The previous prime is 1130122231003. The next prime is 1130122231109. The reversal of 1130122231029 is 9201322210311.

1130122231029 is a `hidden beast` number, since 1 + 1 + 301 + 2 + 22 + 310 + 29 = 666.

It is not a de Polignac number, because 1130122231029 - 27 = 1130122230901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1130122230993 and 1130122231011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130122231229) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 392538412 + ... + 392541290.

It is an arithmetic number, because the mean of its divisors is an integer number (18632737728).

Almost surely, 21130122231029 is an apocalyptic number.

It is an amenable number.

1130122231029 is a deficient number, since it is larger than the sum of its proper divisors (733151541771).

1130122231029 is an frugal number, since it uses more digits than its factorization.

1130122231029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1130122231029 in words is "one trillion, one hundred thirty billion, one hundred twenty-two million, two hundred thirty-one thousand, twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 331 363 891 993 1089 1331 2879 2979 3267 3641 3993 8637 8937 9801 10923 11979 14641 25911 26811 31669 32769 35937 40051 43923 77733 95007 98307 107811 120153 131769 233199 285021 294921 348359 360459 395307 440561 855063 952949 1045077 1081377 1185921 1321683 2565189 2858847 3135231 3244131 3831949 3965049 4846171 8576541 9405693 10482439 11495847 11895147 14538513 25729623 28217079 31447317 34487541 35685441 42151439 43615539 77188869 94341951 103462623 115306829 126454317 130846617 283025853 310387869 345920487 379362951 392539851 849077559 1037761461 1138088853 1268375119 3113284383 3414266559 3805125357 9339853149 11415376071 13952126309 34246128213 41856378927 102738384639 125569136781 376707410343 1130122231029