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31230006024 = 2337415976847
BaseRepresentation
bin11101000101011101…
…000001001100001000
32222121110202200102210
4131011131001030020
51002424340143044
622202531225120
72153623446150
oct350535011410
988543680383
1031230006024
1112276584838
126076a481a0
132c39164209
141723949760
15c2bae01b9
hex745741308

31230006024 has 128 divisors (see below), whose sum is σ = 92955340800. Its totient is φ = 8557570560.

The previous prime is 31230006023. The next prime is 31230006037. The reversal of 31230006024 is 42060003213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (31230006023) 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, 367969 + ... + 444815.

It is an arithmetic number, because the mean of its divisors is an integer number (726213600).

Almost surely, 231230006024 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 31230006024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46477670400).

31230006024 is an abundant number, since it is smaller than the sum of its proper divisors (61725334776).

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

31230006024 is a wasteful number, since it uses less digits than its factorization.

31230006024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76963 (or 76959 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31230006024 its reverse (42060003213), we get a palindrome (73290009237).

The spelling of 31230006024 in words is "thirty-one billion, two hundred thirty million, six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 59 82 84 118 123 164 168 177 236 246 287 328 354 413 472 492 574 708 826 861 984 1148 1239 1416 1652 1722 2296 2419 2478 3304 3444 4838 4956 6888 7257 9676 9912 14514 16933 19352 29028 33866 50799 58056 67732 76847 101598 135464 153694 203196 230541 307388 406392 461082 537929 614776 922164 1075858 1613787 1844328 2151716 3150727 3227574 4303432 4533973 6301454 6455148 9067946 9452181 12602908 12910296 13601919 18135892 18904362 22055089 25205816 27203838 31737811 36271784 37808724 44110178 54407676 63475622 66165267 75617448 88220356 95213433 108815352 126951244 132330534 176440712 185892893 190426866 253902488 264661068 371785786 380853732 529322136 557678679 743571572 761707464 1115357358 1301250251 1487143144 2230714716 2602500502 3903750753 4461429432 5205001004 7807501506 10410002008 15615003012 31230006024