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22002101121 = 37111352314009
BaseRepresentation
bin10100011111011011…
…010110101110000001
32002210100211112200010
4110133123112232001
5330030014213441
614035125215133
71406142526260
oct243733265601
962710745603
1022002101121
119370681250
1243205614a9
1320c8409460
1410ca16a5d7
1588b8e6116
hex51f6d6b81

22002101121 has 64 divisors (see below), whose sum is σ = 39466506240. Its totient is φ = 10529533440.

The previous prime is 22002101101. The next prime is 22002101141. The reversal of 22002101121 is 12110120022.

It is an interprime number because it is at equal distance from previous prime (22002101101) and next prime (22002101141).

It is not a de Polignac number, because 22002101121 - 210 = 22002100097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22002101097 and 22002101106.

It is not an unprimeable number, because it can be changed into a prime (22002101101) 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 63 ways as a sum of consecutive naturals, for example, 1563565 + ... + 1577573.

It is an arithmetic number, because the mean of its divisors is an integer number (616664160).

Almost surely, 222002101121 is an apocalyptic number.

22002101121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22002101121 is a deficient number, since it is larger than the sum of its proper divisors (17464405119).

22002101121 is a wasteful number, since it uses less digits than its factorization.

22002101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14566.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22002101121 its reverse (12110120022), we get a palindrome (34112221143).

The spelling of 22002101121 in words is "twenty-two billion, two million, one hundred one thousand, one hundred twenty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 231 273 429 523 1001 1569 3003 3661 5753 6799 10983 14009 17259 20397 40271 42027 47593 74789 98063 120813 142779 154099 182117 224367 294189 462297 523523 546351 1078693 1274819 1570569 2003287 3236079 3824457 6009861 7326707 14023009 21980121 42069027 51286949 80593777 95247191 153860847 241781331 285741573 564156439 666730337 1047719101 1692469317 2000191011 3143157303 7334033707 22002101121