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900212210202221 = 7282372322303223
BaseRepresentation
bin1100110010101111001111110…
…1000000101111011001101101
311101001101110001201202222122122
43030223303331000233121231
51420443034101302432341
612510331440305522325
7360421120524016400
oct31453637500573155
94331343051688578
10900212210202221
112409209441a2284
1284b6b1a79433a5
132c83c854ab2327
1411c4270967dd37
156e118bade394b
hex332bcfd02f66d

900212210202221 has 12 divisors (see below), whose sum is σ = 1047186950512032. Its totient is φ = 771609494555928.

The previous prime is 900212210202209. The next prime is 900212210202301. The reversal of 900212210202221 is 122202012212009.

It is not a de Polignac number, because 900212210202221 - 246 = 829843466024557 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900212210202821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29210816 + ... + 51514038.

It is an arithmetic number, because the mean of its divisors is an integer number (87265579209336).

Almost surely, 2900212210202221 is an apocalyptic number.

It is an amenable number.

900212210202221 is a deficient number, since it is larger than the sum of its proper divisors (146974740309811).

900212210202221 is a wasteful number, since it uses less digits than its factorization.

900212210202221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23126960 (or 23126953 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 900212210202221 in words is "nine hundred trillion, two hundred twelve billion, two hundred ten million, two hundred two thousand, two hundred twenty-one".

Divisors: 1 7 49 823723 5766061 22303223 40362427 156122561 1092857927 18371677759229 128601744314603 900212210202221