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22400311641101 = 1713922361768897
BaseRepresentation
bin1010001011111011110101…
…00111100100010000001101
32221022110010020021201211122
411011331322213210100031
510414001314240003401
6115350321110530325
74501240414233422
oct505757247442015
987273106251748
1022400311641101
117156a11a45849
1226193b70669a5
13c664568cba54
14576276433d49
1528ca3bcba21b
hex145f7a9e440d

22400311641101 has 32 divisors (see below), whose sum is σ = 24034973598720. Its totient is φ = 20803038068736.

The previous prime is 22400311641089. The next prime is 22400311641107. The reversal of 22400311641101 is 10114611300422.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22400311641101 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 (22400311641107) 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 31 ways as a sum of consecutive naturals, for example, 325093085 + ... + 325161981.

It is an arithmetic number, because the mean of its divisors is an integer number (751092924960).

Almost surely, 222400311641101 is an apocalyptic number.

It is an amenable number.

22400311641101 is a deficient number, since it is larger than the sum of its proper divisors (1634661957619).

22400311641101 is a wasteful number, since it uses less digits than its factorization.

22400311641101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69893.

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

Adding to 22400311641101 its reverse (10114611300422), we get a palindrome (32514922941523).

The spelling of 22400311641101 in words is "twenty-two trillion, four hundred billion, three hundred eleven million, six hundred forty-one thousand, one hundred one".

Divisors: 1 17 139 223 617 2363 3791 10489 30997 68897 85763 137591 526949 1171249 1457971 2339047 9576683 15364031 19125149 42509449 162803611 261188527 325127533 722660633 2135600309 5908813411 9479607127 36305205253 100449827987 161153321159 1317665390653 22400311641101