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1001202111021 = 37316135970229
BaseRepresentation
bin11101001000111000100…
…10111101001000101101
310112201021111101222210110
432210130102331020231
5112400430220023041
62043540151530233
7132222502345620
oct16443422751055
93481244358713
101001202111021
11356675543782
12142058689979
137354a34bb38
143665bd65db7
151b09c06c516
hexe91c4bd22d

1001202111021 has 64 divisors (see below), whose sum is σ = 1605154406400. Its totient is φ = 543059078400.

The previous prime is 1001202111011. The next prime is 1001202111043. The reversal of 1001202111021 is 1201112021001.

1001202111021 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001202111021 - 213 = 1001202102829 is a prime.

It is a super-2 number, since 2×10012021110212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001202110988 and 1001202111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001202111011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14221135 + ... + 14291363.

It is an arithmetic number, because the mean of its divisors is an integer number (25080537600).

Almost surely, 21001202111021 is an apocalyptic number.

It is an amenable number.

1001202111021 is a deficient number, since it is larger than the sum of its proper divisors (603952295379).

1001202111021 is a wasteful number, since it uses less digits than its factorization.

1001202111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70690.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1001202111021 its reverse (1201112021001), we get a palindrome (2202314132022).

The spelling of 1001202111021 in words is "one trillion, one billion, two hundred two million, one hundred eleven thousand, twenty-one".

Divisors: 1 3 7 21 31 61 93 183 217 359 427 651 1077 1281 1891 2513 5673 7539 11129 13237 21899 33387 39711 65697 70229 77903 153293 210687 233709 459879 491603 678869 1474809 2036607 2177099 4283969 4752083 6531297 12851907 14256249 15239693 25212211 29987783 45719079 75636633 89963349 132803039 176485477 398409117 529456431 781578541 929621273 1537944871 2344735623 2788863819 4613834613 5471049787 10765614097 16413149361 32296842291 47676291001 143028873003 333734037007 1001202111021