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201200000001 = 372111323416147
BaseRepresentation
bin1011101101100001110…
…1000101110000000001
3201020022222022000000220
42323120131011300001
511244024200000001
6232232514133253
720351631532200
oct2733035056001
9636288260026
10201200000001
1178368177a40
1232bb1581229
1315c85b13650
149a49611237
1553789aec36
hex2ed8745c01

201200000001 has 96 divisors (see below), whose sum is σ = 382563191808. Its totient is φ = 92284536960.

The previous prime is 201199999963. The next prime is 201200000003. The reversal of 201200000001 is 100000002102.

It is a happy number.

It is not a de Polignac number, because 201200000001 - 231 = 199052516353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (201200000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275410 + ... + 691556.

It is an arithmetic number, because the mean of its divisors is an integer number (3985033248).

Almost surely, 2201200000001 is an apocalyptic number.

201200000001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201200000001 is a deficient number, since it is larger than the sum of its proper divisors (181363191807).

201200000001 is a wasteful number, since it uses less digits than its factorization.

201200000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416211 (or 416204 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 201200000001 its reverse (100000002102), we get a palindrome (301200002103).

It can be divided in two parts, 20 and 1200000001, that added together give a palindrome (1200000021).

The spelling of 201200000001 in words is "two hundred one billion, two hundred million, one", and thus it is an aban number.

Divisors: 1 3 7 11 13 21 23 33 39 49 69 77 91 143 147 161 231 253 273 299 429 483 539 637 759 897 1001 1127 1617 1771 1911 2093 3003 3289 3381 5313 6279 7007 9867 12397 14651 21021 23023 37191 43953 69069 161161 416147 483483 1248441 2913029 4577617 5409911 8739087 9571381 13732851 16229733 20391203 28714143 32043319 37869377 59509021 61173609 66999667 96129957 105285191 113608131 124427953 178527063 200999001 224303233 265085639 315855573 373283859 416563147 468997669 672909699 736996337 795256917 870995671 1249689441 1368707483 1406993007 2210989011 2612987013 2915942029 4106122449 5158974359 6096969697 8747826087 9580952381 15476923077 18290909091 28742857143 67066666667 201200000001