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10122002212221 = 331609123298053
BaseRepresentation
bin1001001101001011011001…
…0110001010010101111101
31022211122122201220210011000
42103102312112022111331
52311314330031242341
633305552243520513
72063201436134154
oct223226626122575
938748581823130
1010122002212221
113252798406889
121175866089139
135856680b2b43
1426dc9c34859b
1512846aa968b6
hex934b658a57d

10122002212221 has 16 divisors (see below), whose sum is σ = 14996491398720. Its totient is φ = 6747581820240.

The previous prime is 10122002212213. The next prime is 10122002212303. The reversal of 10122002212221 is 12221220022101.

It is a happy number.

10122002212221 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 0 + 221 + 2 + 221 = 666.

It is not a de Polignac number, because 10122002212221 - 23 = 10122002212213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122002212194 and 10122002212203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122002612221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11214570 + ... + 12083483.

It is an arithmetic number, because the mean of its divisors is an integer number (937280712420).

Almost surely, 210122002212221 is an apocalyptic number.

It is an amenable number.

10122002212221 is a deficient number, since it is larger than the sum of its proper divisors (4874489186499).

10122002212221 is a wasteful number, since it uses less digits than its factorization.

10122002212221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23314153 (or 23314147 counting only the distinct ones).

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

Adding to 10122002212221 its reverse (12221220022101), we get a palindrome (22343222234322).

The spelling of 10122002212221 in words is "ten trillion, one hundred twenty-two billion, two million, two hundred twelve thousand, two hundred twenty-one".

Divisors: 1 3 9 27 16091 48273 144819 434457 23298053 69894159 209682477 629047431 374888970823 1124666912469 3374000737407 10122002212221