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31287980106 = 2331741831287
BaseRepresentation
bin11101001000111010…
…001011000001001010
32222202111212001221000
4131020322023001022
51003034210330411
622212401555430
72155226304615
oct351072130112
988674761830
1031287980106
11122a62815a9
126092345b76
132c48181cc6
14172b51b17c
15c31c42956
hex748e8b04a

31287980106 has 64 divisors (see below), whose sum is σ = 75414447360. Its totient is φ = 9576414720.

The previous prime is 31287980083. The next prime is 31287980107. The reversal of 31287980106 is 60108978213.

It is a super-2 number, since 2×312879801062 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31287980107) 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, 378006 + ... + 453281.

It is an arithmetic number, because the mean of its divisors is an integer number (1178350740).

Almost surely, 231287980106 is an apocalyptic number.

31287980106 is an abundant number, since it is smaller than the sum of its proper divisors (44126467254).

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

31287980106 is a wasteful number, since it uses less digits than its factorization.

31287980106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831356 (or 831350 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 31287980106 in words is "thirty-one billion, two hundred eighty-seven million, nine hundred eighty thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 41 51 54 82 102 123 153 246 306 369 459 697 738 918 1107 1394 2091 2214 4182 6273 12546 18819 37638 831287 1662574 2493861 4987722 7481583 14131879 14963166 22444749 28263758 34082767 42395637 44889498 68165534 84791274 102248301 127186911 204496602 254373822 306744903 381560733 579407039 613489806 763121466 920234709 1158814078 1738221117 1840469418 3476442234 5214663351 10429326702 15643990053 31287980106