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1012021001020 = 225672833118581
BaseRepresentation
bin11101011101000010010…
…01101111101100111100
310120202012111001112211001
432232201021233230330
5113040104334013040
62052525510140044
7133054552401151
oct16564111575474
93522174045731
101012021001020
11360217520987
12144177951624
13745828a42b3
1436da6b70228
151b4d1c8459a
hexeba126fb3c

1012021001020 has 96 divisors (see below), whose sum is σ = 2171799092736. Its totient is φ = 396033580800.

The previous prime is 1012021000999. The next prime is 1012021001081. The reversal of 1012021001020 is 201001202101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1012021000988 and 1012021001006.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 117933130 + ... + 117941710.

It is an arithmetic number, because the mean of its divisors is an integer number (22622907216).

Almost surely, 21012021001020 is an apocalyptic number.

1012021001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012021001020 is an abundant number, since it is smaller than the sum of its proper divisors (1159778091716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012021001020 is a wasteful number, since it uses less digits than its factorization.

1012021001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9251 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012021001020 its reverse (201001202101), we get a palindrome (1213022203121).

The spelling of 1012021001020 in words is "one trillion, twelve billion, twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 67 134 268 283 311 335 566 622 670 1132 1244 1340 1415 1555 2830 3110 5660 6220 8581 17162 18961 20837 34324 37922 41674 42905 75844 83348 85810 88013 94805 104185 171620 176026 189610 208370 352052 379220 416740 440065 574927 880130 1149854 1760260 2299708 2428423 2668691 2874635 4856846 5337382 5749270 5896871 9713692 10674764 11498540 11793742 12142115 13343455 23587484 24284230 26686910 29484355 48568460 53373820 58968710 117937420 162704341 178802297 325408682 357604594 650817364 715209188 755239553 813521705 894011485 1510479106 1627043410 1788022970 3020958212 3254086820 3576045940 3776197765 7552395530 15104791060 50601050051 101202100102 202404200204 253005250255 506010500510 1012021001020