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1022022202201 = 711213421220471
BaseRepresentation
bin11101101111101010100…
…01010011001101011001
310121201000111002012122121
432313311101103031121
5113221100140432301
62101302134421241
7133560443245120
oct16676521231531
93551014065577
101022022202201
11364489986400
121460a9201821
13754b78c2410
1437675126ab7
151b8b9ccd3a1
hexedf5453359

1022022202201 has 48 divisors (see below), whose sum is σ = 1385911684864. Its totient is φ = 733371408000.

The previous prime is 1022022202163. The next prime is 1022022202249.

1022022202201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1022022202201 - 27 = 1022022202073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022022202261) 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 47 ways as a sum of consecutive naturals, for example, 4525396 + ... + 4745866.

Almost surely, 21022022202201 is an apocalyptic number.

1022022202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022022202201 is a deficient number, since it is larger than the sum of its proper divisors (363889482663).

1022022202201 is a wasteful number, since it uses less digits than its factorization.

1022022202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220934 (or 220923 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The spelling of 1022022202201 in words is "one trillion, twenty-two billion, twenty-two million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 13 77 91 121 143 421 847 1001 1573 2947 4631 5473 11011 32417 38311 50941 60203 220471 356587 421421 662233 1543297 2425181 2866123 4635631 16976267 20062861 26676991 31527353 92818291 186738937 220691471 346800883 649728037 1021001201 1206637783 2427606181 7147008407 8446464481 11231013211 13273015613 78617092477 92911109291 146003171743 1022022202201