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21002210120001 = 31129109909122147
BaseRepresentation
bin1001100011001111101010…
…10001100001000101000001
32202100210101010121122211010
410301213311101201011001
510223100011242320001
6112400140535111133
74265234226336315
oct461476521410501
982323333548733
1021002210120001
116767a950a4890
1224324518124a9
13b94666415296
14528726017b45
152664b06678d6
hex1319f5461141

21002210120001 has 64 divisors (see below), whose sum is σ = 31896947174400. Its totient is φ = 12175055827200.

The previous prime is 21002210119993. The next prime is 21002210120039. The reversal of 21002210120001 is 10002101220012.

It is not a de Polignac number, because 21002210120001 - 23 = 21002210119993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21002210120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 948298410 + ... + 948320556.

It is an arithmetic number, because the mean of its divisors is an integer number (498389799600).

Almost surely, 221002210120001 is an apocalyptic number.

It is an amenable number.

21002210120001 is a deficient number, since it is larger than the sum of its proper divisors (10894737054399).

21002210120001 is a wasteful number, since it uses less digits than its factorization.

21002210120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31390.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21002210120001 its reverse (10002101220012), we get a palindrome (31004311340013).

The spelling of 21002210120001 in words is "twenty-one trillion, two billion, two hundred ten million, one hundred twenty thousand, one".

Divisors: 1 3 11 29 33 87 109 319 327 957 1199 3161 3597 9091 9483 22147 27273 34771 66441 100001 104313 243617 263639 300003 642263 730851 790917 990919 1926789 2414023 2900029 2972757 7064893 7242069 8700087 10900109 21194679 26554253 28736651 32700327 70006667 79662759 86209953 201338377 210020001 316103161 604015131 770073337 948309483 2214722147 2310220011 5838812933 6644166441 17516438799 21945883093 64226942263 65837649279 192680826789 241404714023 636430609697 724214142069 1909291829091 7000736706667 21002210120001