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21000201201 = 32717296131103
BaseRepresentation
bin10011100011101101…
…011010001111110001
32000012112120202100200
4103203231122033301
5321002022414301
613351455105413
71342255523250
oct234355321761
960175522320
1021000201201
1189a707aa91
1240a0b12269
131c98985575
141033086797
1582d98bc86
hex4e3b5a3f1

21000201201 has 96 divisors (see below), whose sum is σ = 38068392960. Its totient is φ = 10877110272.

The previous prime is 21000201199. The next prime is 21000201217. The reversal of 21000201201 is 10210200012.

It is not a de Polignac number, because 21000201201 - 21 = 21000201199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (21000201281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19038616 + ... + 19039718.

It is an arithmetic number, because the mean of its divisors is an integer number (396545760).

Almost surely, 221000201201 is an apocalyptic number.

21000201201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21000201201 is a deficient number, since it is larger than the sum of its proper divisors (17068191759).

21000201201 is a wasteful number, since it uses less digits than its factorization.

21000201201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000201201 its reverse (10210200012), we get a palindrome (31210401213).

The spelling of 21000201201 in words is "twenty-one billion, two hundred one thousand, two hundred one".

Divisors: 1 3 7 9 17 21 29 51 63 87 119 153 203 261 357 493 609 613 1071 1103 1479 1827 1839 3309 3451 4291 4437 5517 7721 9927 10353 10421 12873 17777 18751 23163 31059 31263 31987 38619 53331 56253 69489 72947 93789 95961 124439 131257 159993 168759 218841 223909 287883 302209 373317 393771 543779 656523 671727 676139 906627 1119951 1181313 1631337 2015181 2028417 2115463 2719881 3806453 4732973 4894011 6085251 6346389 11419359 11494363 14198919 19039167 19608031 34258077 34483089 42596757 58824093 80460541 103449267 137256217 176472279 241381623 333336527 411768651 724144869 1000009581 1235305953 2333355689 3000028743 7000067067 21000201201