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1020201002002 = 271331409442109
BaseRepresentation
bin11101101100010001011…
…01111110010000010010
310121112022120011122122101
432312020231332100102
5113203332424031002
62100401320031014
7133464350302420
oct16661055762022
93545276148571
101020201002002
11363734961776
1214587b30246a
13752874bb870
14375412d2110
151b80ee88587
hexed88b7e412

1020201002002 has 64 divisors (see below), whose sum is σ = 1948962355200. Its totient is φ = 389620938240.

The previous prime is 1020201001951. The next prime is 1020201002003. The reversal of 1020201002002 is 2002001020201.

1020201002002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1020201002002.

It is not an unprimeable number, because it can be changed into a prime (1020201002003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2086524 + ... + 2528632.

It is an arithmetic number, because the mean of its divisors is an integer number (30452536800).

Almost surely, 21020201002002 is an apocalyptic number.

1020201002002 is a deficient number, since it is larger than the sum of its proper divisors (928761353198).

1020201002002 is a wasteful number, since it uses less digits than its factorization.

1020201002002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442571.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1020201002002 its reverse (2002001020201), we get a palindrome (3022202022203).

The spelling of 1020201002002 in words is "one trillion, twenty billion, two hundred one million, two thousand, two".

Divisors: 1 2 7 13 14 26 31 62 91 182 217 403 409 434 806 818 2821 2863 5317 5642 5726 10634 12679 25358 37219 74438 88753 164827 177506 329654 442109 884218 1153789 2307578 3094763 5747417 6189526 11494834 13705379 27410758 40231919 80463838 95937653 178169927 180822581 191875306 356339854 361645162 1247189489 1265758067 2350693553 2494378978 2531516134 4701387106 5605500011 11211000022 16454854871 32909709742 39238500077 72871500143 78477000154 145743000286 510100501001 1020201002002