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1031131224432 = 243271555718149
BaseRepresentation
bin11110000000101000011…
…01011101100101110000
310122120112022022111001100
433000110031131211300
5113343224043140212
62105410052404400
7134332251536211
oct17002415354560
93576468274040
101031131224432
11368333770651
12147a0b916700
1376309b249ba
1437c9abdb408
151bc4e842bdc
hexf01435d970

1031131224432 has 120 divisors (see below), whose sum is σ = 2927067343200. Its totient is φ = 338789767680.

The previous prime is 1031131224401. The next prime is 1031131224439. The reversal of 1031131224432 is 2344221311301.

1031131224432 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 1 + 3 + 1 + 224 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1031131224396 and 1031131224405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031131224439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56805694 + ... + 56823842.

It is an arithmetic number, because the mean of its divisors is an integer number (24392227860).

Almost surely, 21031131224432 is an apocalyptic number.

1031131224432 is a gapful number since it is divisible by the number (12) 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 1031131224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463533671600).

1031131224432 is an abundant number, since it is smaller than the sum of its proper divisors (1895936118768).

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

1031131224432 is a wasteful number, since it uses less digits than its factorization.

1031131224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23791 (or 23782 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1031131224432 its reverse (2344221311301), we get a palindrome (3375352535733).

The spelling of 1031131224432 in words is "one trillion, thirty-one billion, one hundred thirty-one million, two hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 5557 10224 11114 16671 18149 22228 33342 36298 44456 50013 54447 66684 72596 88912 100026 108894 133368 145192 163341 200052 217788 266736 290384 326682 394547 400104 435576 653364 789094 800208 871152 1183641 1288579 1306728 1578188 2367282 2577158 2613456 3156376 3550923 3865737 4734564 5154316 6312752 7101846 7731474 9469128 10308632 11597211 14203692 15462948 18938256 20617264 23194422 28407384 30925896 46388844 56814768 61851792 92777688 100853993 185555376 201707986 302561979 403415972 605123958 806831944 907685937 1210247916 1613663888 1815371874 2420495832 3630743748 4840991664 7160633503 7261487496 14321267006 14522974992 21481900509 28642534012 42963801018 57285068024 64445701527 85927602036 114570136048 128891403054 171855204072 257782806108 343710408144 515565612216 1031131224432