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21006154225 = 52724121012
BaseRepresentation
bin10011100100000100…
…000111100111110001
32000012221210012101001
4103210010013213301
5321010033413400
613352230442001
71342360236100
oct234404074761
960187705331
1021006154225
1189aa476641
1240a2b03301
131c99c8b074
141033b96037
1582e265a6a
hex4e41079f1

21006154225 has 81 divisors (see below), whose sum is σ = 31367905923. Its totient is φ = 13913760000.

The previous prime is 21006154133. The next prime is 21006154237. The reversal of 21006154225 is 52245160012.

The square root of 21006154225 is 144935.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 12998052081 + 8008102144 = 114009^2 + 89488^2 .

It is not a de Polignac number, because 21006154225 - 217 = 21006023153 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21006154193 and 21006154202.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 207981675 + ... + 207981775.

Almost surely, 221006154225 is an apocalyptic number.

21006154225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21006154225 is the 144935-th square number.

21006154225 is the 72468-th centered octagonal number.

It is an amenable number.

21006154225 is a deficient number, since it is larger than the sum of its proper divisors (10361751698).

21006154225 is an equidigital number, since it uses as much as digits as its factorization.

21006154225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 21006154225 in words is "twenty-one billion, six million, one hundred fifty-four thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 41 49 101 175 205 245 287 505 707 1025 1225 1435 1681 2009 2525 3535 4141 4949 7175 8405 10045 10201 11767 17675 20705 24745 28987 42025 50225 51005 58835 71407 82369 103525 123725 144935 169781 202909 255025 294175 357035 411845 418241 499849 724675 848905 1014545 1188467 1785175 2059225 2091205 2499245 2927687 4244525 5072725 5942335 8319269 10456025 12496225 14638435 17147881 20493809 29711675 41596345 73192175 85739405 102469045 120035167 207981725 428697025 512345225 600175835 840246169 3000879175 4201230845 21006154225