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21090103461 = 337611829309
BaseRepresentation
bin10011101001000100…
…010111000010100101
32000102210202021002000
4103221010113002211
5321143031302321
613404430035513
71344426631050
oct235104270245
960383667060
1021090103461
118a428a4979
124107048b99
131cb14a1b7b
141040da9a97
158367e9826
hex4e91170a5

21090103461 has 32 divisors (see below), whose sum is σ = 36293510400. Its totient is φ = 11853915840.

The previous prime is 21090103439. The next prime is 21090103477. The reversal of 21090103461 is 16430109012.

21090103461 is a `hidden beast` number, since 2 + 10 + 90 + 103 + 461 = 666.

It is not a de Polignac number, because 21090103461 - 25 = 21090103429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21090102461) 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, 903126 + ... + 926183.

It is an arithmetic number, because the mean of its divisors is an integer number (1134172200).

Almost surely, 221090103461 is an apocalyptic number.

21090103461 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21090103461 is a deficient number, since it is larger than the sum of its proper divisors (15203406939).

21090103461 is a wasteful number, since it uses less digits than its factorization.

21090103461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829386 (or 1829380 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 21090103461 in words is "twenty-one billion, ninety million, one hundred three thousand, four hundred sixty-one".

Divisors: 1 3 7 9 21 27 61 63 183 189 427 549 1281 1647 3843 11529 1829309 5487927 12805163 16463781 38415489 49391343 111587849 115246467 334763547 345739401 781114943 1004290641 2343344829 3012871923 7030034487 21090103461