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31192711407 = 321113193141149
BaseRepresentation
bin11101000011001110…
…110000000011101111
32222111212120220211200
4131003032300003233
51002340313231112
622155120020543
72152661446404
oct350316600357
988455526750
1031192711407
1112257521840
126066461753
132c31506bb0
14171c9dc2ab
15c286c4cdc
hex7433b00ef

31192711407 has 96 divisors (see below), whose sum is σ = 57517824000. Its totient is φ = 15998342400.

The previous prime is 31192711379. The next prime is 31192711423. The reversal of 31192711407 is 70411729113.

It is not a de Polignac number, because 31192711407 - 215 = 31192678639 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31192711447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 737469 + ... + 778617.

It is an arithmetic number, because the mean of its divisors is an integer number (599144000).

Almost surely, 231192711407 is an apocalyptic number.

31192711407 is a deficient number, since it is larger than the sum of its proper divisors (26325112593).

31192711407 is a wasteful number, since it uses less digits than its factorization.

31192711407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41229 (or 41226 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 31192711407 in words is "thirty-one billion, one hundred ninety-two million, seven hundred eleven thousand, four hundred seven".

Divisors: 1 3 9 11 13 19 31 33 39 57 93 99 117 143 171 209 247 279 341 403 429 589 627 741 1023 1209 1287 1767 1881 2223 2717 3069 3627 4433 5301 6479 7657 8151 13299 19437 22971 24453 39897 41149 58311 68913 84227 123447 252681 370341 452639 534937 758043 781831 1275619 1357917 1604811 2345493 3826857 4073751 4814433 5884307 7036479 8600141 10163803 11480571 14031809 16583047 17652921 24236761 25800423 30491409 42095427 49749141 52958763 72710283 77401269 91474227 111801833 126286281 149247423 182413517 218130849 266604371 315077893 335405499 547240551 799813113 945233679 1006216497 1641721653 2399439339 2835701037 3465856823 10397570469 31192711407