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31201003100 = 2252834398563
BaseRepresentation
bin11101000011101110…
…011000011001011100
32222112110012011220102
4131003232120121130
51002344424044400
622200013440232
72153122102421
oct350356303134
988473164812
1031201003100
1112261175483
1260691a0078
132c3314b017
14171db59d48
15c292b19d5
hex743b9865c

31201003100 has 72 divisors (see below), whose sum is σ = 68686020480. Its totient is φ = 12300511680.

The previous prime is 31201003081. The next prime is 31201003103. The reversal of 31201003100 is 130010213.

It is a super-2 number, since 2×312010031002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31201003103) 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, 3639419 + ... + 3647981.

Almost surely, 231201003100 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 31201003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34343010240).

31201003100 is an abundant number, since it is smaller than the sum of its proper divisors (37485017380).

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

31201003100 is a wasteful number, since it uses less digits than its factorization.

31201003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9099 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 31201003100 its reverse (130010213), we get a palindrome (31331013313).

The spelling of 31201003100 in words is "thirty-one billion, two hundred one million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 439 830 878 1660 1756 2075 2195 4150 4390 8300 8563 8780 10975 17126 21950 34252 36437 42815 43900 72874 85630 145748 171260 182185 214075 364370 428150 710729 728740 856300 910925 1421458 1821850 2842916 3553645 3643700 3759157 7107290 7518314 14214580 15036628 17768225 18795785 35536450 37591570 71072900 75183140 93978925 187957850 312010031 375915700 624020062 1248040124 1560050155 3120100310 6240200620 7800250775 15600501550 31201003100