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31031003472 = 24372331129529
BaseRepresentation
bin11100111001100101…
…111000100101010000
32222002121022022020220
4130321211320211100
51002022414102342
622131102033040
72145656114610
oct347145704520
988077268226
1031031003472
1112184213217
126020278780
132c06b68c21
141705346a40
15c193d15ec
hex739978950

31031003472 has 160 divisors (see below), whose sum is σ = 98683207680. Its totient is φ = 8206894080.

The previous prime is 31031003467. The next prime is 31031003483. The reversal of 31031003472 is 27430013013.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174804 + ... + 304332.

It is an arithmetic number, because the mean of its divisors is an integer number (616770048).

Almost surely, 231031003472 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 31031003472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49341603840).

31031003472 is an abundant number, since it is smaller than the sum of its proper divisors (67652204208).

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

31031003472 is a wasteful number, since it uses less digits than its factorization.

31031003472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129601 (or 129595 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 31031003472 its reverse (27430013013), we get a palindrome (58461016485).

The spelling of 31031003472 in words is "thirty-one billion, thirty-one million, three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 31 42 46 48 56 62 69 84 92 93 112 124 138 161 168 184 186 217 248 276 322 336 368 372 434 483 496 552 644 651 713 744 868 966 1104 1288 1302 1426 1488 1736 1932 2139 2576 2604 2852 3472 3864 4278 4991 5208 5704 7728 8556 9982 10416 11408 14973 17112 19964 29946 34224 39928 59892 79856 119784 129529 239568 259058 388587 518116 777174 906703 1036232 1554348 1813406 2072464 2720109 2979167 3108696 3626812 4015399 5440218 5958334 6217392 7253624 8030798 8937501 10880436 11916668 12046197 14507248 16061596 17875002 20854169 21760872 23833336 24092394 28107793 32123192 35750004 41708338 43521744 47666672 48184788 56215586 62562507 64246384 71500008 83416676 84323379 92354177 96369576 112431172 125125014 143000016 166833352 168646758 184708354 192739152 224862344 250250028 277062531 333666704 337293516 369416708 449724688 500500056 554125062 646479239 674587032 738833416 1001000112 1108250124 1292958478 1349174064 1477666832 1939437717 2216500248 2585916956 3878875434 4433000496 5171833912 7757750868 10343667824 15515501736 31031003472