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901022202001 = 101107547915217
BaseRepresentation
bin11010001110010010001…
…10111011100010010001
310012010200210020022202201
431013021012323202101
5104230243140431001
61525531320443201
7122045112231205
oct15071106734221
93163623208681
10901022202001
113181375a8339
1212675a619501
1366c7349aa6c
1431877072b05
1518687146501
hexd1c91bb891

901022202001 has 16 divisors (see below), whose sum is σ = 918675354240. Its totient is φ = 883544428800.

The previous prime is 901022201977. The next prime is 901022202037. The reversal of 901022202001 is 100202220109.

It is a cyclic number.

It is not a de Polignac number, because 901022202001 - 217 = 901022070929 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 901022202001.

It is not an unprimeable number, because it can be changed into a prime (901022202701) 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 15 ways as a sum of consecutive naturals, for example, 59203945 + ... + 59219161.

It is an arithmetic number, because the mean of its divisors is an integer number (57417209640).

Almost surely, 2901022202001 is an apocalyptic number.

It is an amenable number.

901022202001 is a deficient number, since it is larger than the sum of its proper divisors (17653152239).

901022202001 is a wasteful number, since it uses less digits than its factorization.

901022202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20904.

The product of its (nonzero) digits is 144, while the sum is 19.

The spelling of 901022202001 in words is "nine hundred one billion, twenty-two million, two hundred two thousand, one".

Divisors: 1 101 107 5479 10807 15217 553379 586253 1536917 1628219 59211553 83373943 164450119 8420768243 8921011901 901022202001