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22002100202001 = 3172271293319601
BaseRepresentation
bin1010000000010110000110…
…10111011110101000010001
32212220101021012012200011010
411000023003113132220101
510340440300122431001
6114443343021441133
74430412360654603
oct500130327365021
985811235180133
1022002100202001
117013046a74757
1225741a2a101a9
13c37a349a6b8a
14560c9ba0b173
152824d241a8d6
hex1402c35dea11

22002100202001 has 48 divisors (see below), whose sum is σ = 31385141399808. Its totient is φ = 13707311616000.

The previous prime is 22002100201997. The next prime is 22002100202009. The reversal of 22002100202001 is 10020200120022.

It is not a de Polignac number, because 22002100202001 - 22 = 22002100201997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22002100202009) 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 47 ways as a sum of consecutive naturals, for example, 68682601 + ... + 69002201.

It is an arithmetic number, because the mean of its divisors is an integer number (653857112496).

Almost surely, 222002100202001 is an apocalyptic number.

It is an amenable number.

22002100202001 is a deficient number, since it is larger than the sum of its proper divisors (9383041197807).

22002100202001 is a wasteful number, since it uses less digits than its factorization.

22002100202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320202 (or 320185 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22002100202001 its reverse (10020200120022), we get a palindrome (32022300322023).

The spelling of 22002100202001 in words is "twenty-two trillion, two billion, one hundred million, two hundred two thousand, one".

Divisors: 1 3 17 51 271 289 293 813 867 879 4607 4981 13821 14943 78319 79403 84677 234957 238209 254031 319601 958803 1349851 4049553 5433217 16299651 22947467 68842401 86611871 92364689 93643093 259835613 277094067 280929279 1472401807 1591932581 4417205421 4775797743 25030830719 25377278203 27062853877 75092492157 76131834609 81188561631 431413729451 1294241188353 7334033400667 22002100202001