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1022020000001 = 7112134710119553
BaseRepresentation
bin11101101111101010010…
…00111001100100000001
310121201000022221022210122
432313311020321210001
5113221044110000001
62101302015310025
7133560415443530
oct16676510714401
93551008838718
101022020000001
11364488711900
121460a851b315
13754b7300c40
1437674b12317
151b8b99e5b1b
hexedf5239901

1022020000001 has 96 divisors (see below), whose sum is σ = 1426089176064. Its totient is φ = 712318464000.

The previous prime is 1022019999961. The next prime is 1022020000009. The reversal of 1022020000001 is 1000000202201.

1022020000001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1022020000001 - 26 = 1022019999937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022020000009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52259441 + ... + 52278993.

It is an arithmetic number, because the mean of its divisors is an integer number (14855095584).

Almost surely, 21022020000001 is an apocalyptic number.

1022020000001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022020000001 is a deficient number, since it is larger than the sum of its proper divisors (404069176063).

1022020000001 is a wasteful number, since it uses less digits than its factorization.

1022020000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19743 (or 19732 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 1022020000001 its reverse (1000000202201), we get a palindrome (2022020202202).

The spelling of 1022020000001 in words is "one trillion, twenty-two billion, twenty million, one", and thus it is an aban number and an uban number.

Divisors: 1 7 11 13 47 77 91 101 121 143 329 517 611 707 847 1001 1111 1313 1573 3619 4277 4747 5687 6721 7777 9191 11011 12221 14443 19553 33229 39809 47047 52217 61711 73931 85547 101101 136871 158873 215083 254189 365519 431977 517517 574387 678821 918991 1112111 1505581 1779323 1974853 2365913 2796079 4020709 4751747 6432937 7467031 10108901 11946883 13823971 16561391 19572553 21723383 25673089 30756869 52269217 70762307 83628181 92818091 111197911 131415713 152063681 179711623 215298083 238957213 282403979 649726637 778385377 919909991 1020999001 1206635183 1445572843 1672700491 1976827853 3106443769 7146993007 8446446281 10119009901 11230989011 13272987013 21745106383 78616923077 92910909091 146002857143 1022020000001