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212202121401 = 32193122165873
BaseRepresentation
bin1100010110100000111…
…0110110100010111001
3202021201201201200021200
43011220032312202321
511434042220341101
6241252335524413
721221365161654
oct3055016664271
9667651650250
10212202121401
1181aa3624656
1235162089709
131701a30175a
14a3b08b489b
1557be81c986
hex31683b68b9

212202121401 has 12 divisors (see below), whose sum is σ = 308102334228. Its totient is φ = 140735084544.

The previous prime is 212202121381. The next prime is 212202121423. The reversal of 212202121401 is 104121202212.

212202121401 is a `hidden beast` number, since 2 + 1 + 220 + 21 + 21 + 401 = 666.

212202121401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 144229810176 + 67972311225 = 379776^2 + 260715^2 .

It is not a de Polignac number, because 212202121401 - 215 = 212202088633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212202120401) 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 11 ways as a sum of consecutive naturals, for example, 61081200 + ... + 61084673.

It is an arithmetic number, because the mean of its divisors is an integer number (25675194519).

Almost surely, 2212202121401 is an apocalyptic number.

It is an amenable number.

212202121401 is a deficient number, since it is larger than the sum of its proper divisors (95900212827).

212202121401 is a wasteful number, since it uses less digits than its factorization.

212202121401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122166072 (or 122166069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212202121401 its reverse (104121202212), we get a palindrome (316323323613).

The spelling of 212202121401 in words is "two hundred twelve billion, two hundred two million, one hundred twenty-one thousand, four hundred one".

Divisors: 1 3 9 193 579 1737 122165873 366497619 1099492857 23578013489 70734040467 212202121401