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1002020211205 = 513171033877837
BaseRepresentation
bin11101001010011010000…
…11110000101000000101
310112210101111210210021021
432211031003300220011
5112404114133224310
62044153254351141
7132251665156426
oct16451503605005
93483344723237
101002020211205
11356a55317532
1214224665b4b1
137364a99b4a0
14366d888364d
151b0e8cbc5da
hexe94d0f0a05

1002020211205 has 32 divisors (see below), whose sum is σ = 1372418951904. Its totient is φ = 695751745536.

The previous prime is 1002020211193. The next prime is 1002020211211. The reversal of 1002020211205 is 5021120202001.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 318927879169 + 683092332036 = 564737^2 + 826494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1002020211205 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702547 + ... + 1580383.

It is an arithmetic number, because the mean of its divisors is an integer number (42888092247).

Almost surely, 21002020211205 is an apocalyptic number.

It is an amenable number.

1002020211205 is a deficient number, since it is larger than the sum of its proper divisors (370398740699).

1002020211205 is a wasteful number, since it uses less digits than its factorization.

1002020211205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878905.

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 1002020211205 its reverse (5021120202001), we get a palindrome (6023140413206).

The spelling of 1002020211205 in words is "one trillion, two billion, twenty million, two hundred eleven thousand, two hundred five".

Divisors: 1 5 13 17 65 85 221 1033 1105 5165 13429 17561 67145 87805 228293 877837 1141465 4389185 11411881 14923229 57059405 74616145 194001977 906805621 970009885 4534028105 11788473073 15415695557 58942365365 77078477785 200404042241 1002020211205