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201311302000 = 24533721112893
BaseRepresentation
bin1011101101111100010…
…1101011000101110000
3201020121201201201200011
42323133011223011300
511244241143131000
6232251531504304
720354452555624
oct2733705530560
9636551651604
10201311302000
1178414a88866
12330228b8094
1315ca2bb3513
149a5a305184
1553836482ba
hex2edf16b170

201311302000 has 160 divisors (see below), whose sum is σ = 502334973504. Its totient is φ = 77970816000.

The previous prime is 201311301941. The next prime is 201311302001. The reversal of 201311302000 is 203113102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201311302001) 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, 15607554 + ... + 15620446.

Almost surely, 2201311302000 is an apocalyptic number.

201311302000 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 201311302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251167486752).

201311302000 is an abundant number, since it is smaller than the sum of its proper divisors (301023671504).

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

201311302000 is a wasteful number, since it uses less digits than its factorization.

201311302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13164 (or 13148 counting only the distinct ones).

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

Adding to 201311302000 its reverse (203113102), we get a palindrome (201514415102).

The spelling of 201311302000 in words is "two hundred one billion, three hundred eleven million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 125 148 185 200 211 250 296 370 400 422 500 592 740 844 925 1000 1055 1480 1688 1850 2000 2110 2960 3376 3700 4220 4625 5275 7400 7807 8440 9250 10550 12893 14800 15614 16880 18500 21100 25786 26375 31228 37000 39035 42200 51572 52750 62456 64465 74000 78070 84400 103144 105500 124912 128930 156140 195175 206288 211000 257860 312280 322325 390350 422000 477041 515720 624560 644650 780700 954082 975875 1031440 1289300 1561400 1611625 1908164 1951750 2385205 2578600 2720423 3122800 3223250 3816328 3903500 4770410 5157200 5440846 6446500 7632656 7807000 9540820 10881692 11926025 12893000 13602115 15614000 19081640 21763384 23852050 25786000 27204230 38163280 43526768 47704100 54408460 59630125 68010575 95408200 100655651 108816920 119260250 136021150 190816400 201311302 217633840 238520500 272042300 340052875 402622604 477041000 503278255 544084600 680105750 805245208 954082000 1006556510 1088169200 1360211500 1610490416 2013113020 2516391275 2720423000 4026226040 5032782550 5440846000 8052452080 10065565100 12581956375 20131130200 25163912750 40262260400 50327825500 100655651000 201311302000