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1001202002021 = 131722367172933
BaseRepresentation
bin11101001000111000100…
…10100010100001100101
310112201021111012110021102
432210130102202201211
5112400430203031041
62043540145325445
7132222501413054
oct16443422424145
93481244173242
101001202002021
113566754798a1
12142058636885
137354a311340
143665bd3839b
151b09c04a09b
hexe91c4a2865

1001202002021 has 48 divisors (see below), whose sum is σ = 1213017181824. Its totient is φ = 819581469696.

The previous prime is 1001202002011. The next prime is 1001202002051. The reversal of 1001202002021 is 1202002021001.

It is a happy number.

It is not a de Polignac number, because 1001202002021 - 222 = 1001197807717 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001202001993 and 1001202002011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001202002011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5703071 + ... + 5876003.

It is an arithmetic number, because the mean of its divisors is an integer number (25271191288).

Almost surely, 21001202002021 is an apocalyptic number.

It is an amenable number.

1001202002021 is a deficient number, since it is larger than the sum of its proper divisors (211815179803).

1001202002021 is a wasteful number, since it uses less digits than its factorization.

1001202002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173070 (or 173053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1001202002021 its reverse (1202002021001), we get a palindrome (2203204023022).

The spelling of 1001202002021 in words is "one trillion, one billion, two hundred two million, two thousand, twenty-one".

Divisors: 1 13 17 23 67 221 289 299 391 871 1139 1541 3757 5083 6647 14807 19363 20033 26197 86411 172933 251719 340561 445349 2248129 2939861 3977459 5789537 11586511 38218193 49977637 51706967 67616803 150624643 196970687 266489753 649709281 879018439 1149485651 2560618931 3348501679 3464366789 4530325801 14943313463 43530521827 58894235413 77015538617 1001202002021