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201311031100 = 22527949151899
BaseRepresentation
bin1011101101111100010…
…0101000111100111100
3201020121201012222001211
42323133010220330330
511244241110443400
6232251522014204
720354450350054
oct2733704507474
9636551188054
10201311031100
1178414913283
12330227a7364
1315ca2b1a11a
149a5a274564
1553835e2dba
hex2edf128f3c

201311031100 has 72 divisors (see below), whose sum is σ = 443284128000. Its totient is φ = 79341662400.

The previous prime is 201311031079. The next prime is 201311031107. The reversal of 201311031100 is 1130113102.

It is a super-2 number, since 2×2013110311002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201311031107) 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, 3852951 + ... + 3904849.

It is an arithmetic number, because the mean of its divisors is an integer number (6156724000).

Almost surely, 2201311031100 is an apocalyptic number.

201311031100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201311031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221642064000).

201311031100 is an abundant number, since it is smaller than the sum of its proper divisors (241973096900).

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

201311031100 is a wasteful number, since it uses less digits than its factorization.

201311031100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52483 (or 52476 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 201311031100 its reverse (1130113102), we get a palindrome (202441144202).

The spelling of 201311031100 in words is "two hundred one billion, three hundred eleven million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 316 395 491 790 982 1580 1964 1975 2455 3950 4910 7900 9820 12275 24550 38789 49100 51899 77578 103798 155156 193945 207596 259495 387890 518990 775780 969725 1037980 1297475 1939450 2594950 3878900 4100021 5189900 8200042 16400084 20500105 25482409 41000210 50964818 82000420 101929636 102500525 127412045 205001050 254824090 410002100 509648180 637060225 1274120450 2013110311 2548240900 4026220622 8052441244 10065551555 20131103110 40262206220 50327757775 100655515550 201311031100