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110200221009 = 3329315385661
BaseRepresentation
bin110011010100001110…
…0011110110101010001
3101112110001011020222000
41212220130132311101
53301142224033014
6122343021104213
710650602265114
oct1465034366521
9345401136860
10110200221009
114281017411a
12194359b8069
13a512b30988
145495a2257b
152cee997509
hex19a871ed51

110200221009 has 64 divisors (see below), whose sum is σ = 177628723200. Its totient is φ = 67349318400.

The previous prime is 110200220971. The next prime is 110200221107. The reversal of 110200221009 is 900122002011.

It is a de Polignac number, because none of the positive numbers 2k-110200221009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110200220982 and 110200221000.

It is not an unprimeable number, because it can be changed into a prime (110200221409) 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, 1243639 + ... + 1329299.

It is an arithmetic number, because the mean of its divisors is an integer number (2775448800).

Almost surely, 2110200221009 is an apocalyptic number.

It is an amenable number.

110200221009 is a deficient number, since it is larger than the sum of its proper divisors (67428502191).

110200221009 is a wasteful number, since it uses less digits than its factorization.

110200221009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85783 (or 85777 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 110200221009 in words is "one hundred ten billion, two hundred million, two hundred twenty-one thousand, nine".

Divisors: 1 3 9 27 29 31 53 87 93 159 261 279 477 783 837 899 1431 1537 1643 2697 4611 4929 8091 13833 14787 24273 41499 44361 47647 85661 142941 256983 428823 770949 1286469 2312847 2484169 2655491 4540033 7452507 7966473 13620099 22357521 23899419 40860297 67072563 71698257 77009239 122580891 131660957 140741023 231027717 394982871 422223069 693083151 1184948613 1266669207 2079249453 3554845839 3800007621 4081489667 12244469001 36733407003 110200221009