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1022010102201 = 311219163909091
BaseRepresentation
bin11101101111101001000…
…11001001000110111001
310121200222122022110120110
432313310203021012321
5113221034041232301
62101301023214533
7133560235351134
oct16676443110671
93550878273513
101022010102201
11364483071500
121460a5147449
13754b5246a5a
143767369721b
151b8b8bdd0d6
hexedf48c91b9

1022010102201 has 48 divisors (see below), whose sum is σ = 1586329176320. Its totient is φ = 583199416800.

The previous prime is 1022010102199. The next prime is 1022010102299.

1022010102201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1022010102201 - 21 = 1022010102199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022010104201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 669666 + ... + 1578756.

Almost surely, 21022010102201 is an apocalyptic number.

1022010102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022010102201 is a deficient number, since it is larger than the sum of its proper divisors (564319074119).

1022010102201 is a wasteful number, since it uses less digits than its factorization.

1022010102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909298 (or 909287 counting only the distinct ones).

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

It can be divided in two parts, 1022010 and 102201, that added together give a palindrome (1124211).

The spelling of 1022010102201 in words is "one trillion, twenty-two billion, ten million, one hundred two thousand, two hundred one".

Divisors: 1 3 11 19 33 57 121 163 209 363 489 627 1793 2299 3097 5379 6897 9291 19723 34067 59169 102201 374737 909091 1124211 2727273 10000001 17272729 30000003 51818187 110000011 148181833 190000019 330000033 444545499 570000057 1630000163 2090000209 2815454827 4890000489 6270000627 8446364481 17930001793 30970003097 53790005379 92910009291 340670034067 1022010102201