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22122211200101 = 2947661142917183
BaseRepresentation
bin1010000011110101110101…
…00010100100110001100101
32220022212021221020120102022
411001322322202210301211
510344422242031400401
6115014445321152525
74442164005416615
oct501727242446145
986285257216368
1022122211200101
117059a82552341
12259352392b745
13c46166b8599c
14566a139a8a45
152856b1ee971b
hex141eba8a4c65

22122211200101 has 32 divisors (see below), whose sum is σ = 23425063833600. Its totient is φ = 20857474471680.

The previous prime is 22122211200079. The next prime is 22122211200137. The reversal of 22122211200101 is 10100211222122.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22122211200101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22122211200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122211209101) 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, 1287438956 + ... + 1287456138.

It is an arithmetic number, because the mean of its divisors is an integer number (732033244800).

Almost surely, 222122211200101 is an apocalyptic number.

It is an amenable number.

22122211200101 is a deficient number, since it is larger than the sum of its proper divisors (1302852633499).

22122211200101 is a wasteful number, since it uses less digits than its factorization.

22122211200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19349.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 22122211200101 its reverse (10100211222122), we get a palindrome (32222422422223).

The spelling of 22122211200101 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred eleven million, two hundred thousand, one hundred one".

Divisors: 1 29 47 661 1363 1429 17183 19169 31067 41441 67163 498307 807601 900943 944569 1947727 11357963 23420429 24554507 27392501 44394743 329380927 533824261 712080703 1154061829 1287447547 15480903569 16230529127 33467793041 470685344683 762834868969 22122211200101