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3201130100 = 2252739711519
BaseRepresentation
bin1011111011001101…
…0101111001110100
322021002111020222002
42332303111321310
523023442130400
61245351154432
7142220104550
oct27663257164
98232436862
103201130100
1113a2a55473
12754075a18
133c027602c
14225200860
1513b072ed5
hexbecd5e74

3201130100 has 72 divisors (see below), whose sum is σ = 7959490560. Its totient is φ = 1094670720.

The previous prime is 3201130067. The next prime is 3201130103. The reversal of 3201130100 is 10311023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201130103) 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, 272141 + ... + 283659.

It is an arithmetic number, because the mean of its divisors is an integer number (110548480).

Almost surely, 23201130100 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 3201130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979745280).

3201130100 is an abundant number, since it is smaller than the sum of its proper divisors (4758360460).

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

3201130100 is a wasteful number, since it uses less digits than its factorization.

3201130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11937 (or 11930 counting only the distinct ones).

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

The square root of 3201130100 is about 56578.5303803483. The cubic root of 3201130100 is about 1473.7860508725.

Adding to 3201130100 its reverse (10311023), we get a palindrome (3211441123).

The spelling of 3201130100 in words is "three billion, two hundred one million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 397 700 794 1588 1985 2779 3970 5558 7940 9925 11116 11519 13895 19850 23038 27790 39700 46076 55580 57595 69475 80633 115190 138950 161266 230380 277900 287975 322532 403165 575950 806330 1151900 1612660 2015825 4031650 4573043 8063300 9146086 18292172 22865215 32011301 45730430 64022602 91460860 114326075 128045204 160056505 228652150 320113010 457304300 640226020 800282525 1600565050 3201130100