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201311002300 = 225229313760521
BaseRepresentation
bin1011101101111100010…
…0100001111010111100
3201020121201011111120011
42323133010201322330
511244241104033200
6232251521233004
720354450200102
oct2733704417274
9636551144504
10201311002300
11784148a3681
1233022792764
1315ca2b09c95
149a5a267c72
1553835d95ba
hex2edf121ebc

201311002300 has 144 divisors (see below), whose sum is σ = 479101835520. Its totient is φ = 73204992000.

The previous prime is 201311002289. The next prime is 201311002303. The reversal of 201311002300 is 3200113102.

It is a super-2 number, since 2×2013110023002 (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 (201311002303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3296040 + ... + 3356560.

It is an arithmetic number, because the mean of its divisors is an integer number (3327096080).

Almost surely, 2201311002300 is an apocalyptic number.

201311002300 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 201311002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239550917760).

201311002300 is an abundant number, since it is smaller than the sum of its proper divisors (277790833220).

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

201311002300 is a wasteful number, since it uses less digits than its factorization.

201311002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60632 (or 60625 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 201311002300 its reverse (3200113102), we get a palindrome (204511115402).

The spelling of 201311002300 in words is "two hundred one billion, three hundred eleven million, two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 31 37 50 58 62 74 100 116 124 145 148 155 185 290 310 370 580 620 725 740 775 899 925 1073 1147 1450 1550 1798 1850 2146 2294 2900 3100 3596 3700 4292 4495 4588 5365 5735 8990 10730 11470 17980 21460 22475 22940 26825 28675 33263 44950 53650 57350 60521 66526 89900 107300 114700 121042 133052 166315 242084 302605 332630 605210 665260 831575 1210420 1513025 1663150 1755109 1876151 2239277 3026050 3326300 3510218 3752302 4478554 6052100 7020436 7504604 8775545 8957108 9380755 11196385 17551090 18761510 22392770 35102180 37523020 43877725 44785540 46903775 54408379 55981925 64939033 69417587 87755450 93807550 108816758 111963850 129878066 138835174 175510900 187615100 217633516 223927700 259756132 272041895 277670348 324695165 347087935 544083790 649390330 694175870 1088167580 1298780660 1360209475 1388351740 1623475825 1735439675 2013110023 2720418950 3246951650 3470879350 4026220046 5440837900 6493903300 6941758700 8052440092 10065550115 20131100230 40262200460 50327750575 100655501150 201311002300