Search a number
-
+
10011001021021 = 71113971031100003
BaseRepresentation
bin1001000110101101111000…
…1010001110001001011101
31022110001010212121000122101
42101223132022032021131
52303010012230133041
633142553531045101
72052161636442010
oct221533612161135
938401125530571
1010011001021021
11320a7070a9a30
121158247ba0791
1357805834c810
1426876c1c7377
15125620b34b31
hex91ade28e25d

10011001021021 has 64 divisors (see below), whose sum is σ = 13593222107136. Its totient is φ = 7119502387200.

The previous prime is 10011001020913. The next prime is 10011001021027. The reversal of 10011001021021 is 12012010011001.

10011001021021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011001021021 - 29 = 10011001020509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011001020989 and 10011001021007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011001021027) 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, 100057006 + ... + 100157008.

It is an arithmetic number, because the mean of its divisors is an integer number (212394095424).

Almost surely, 210011001021021 is an apocalyptic number.

10011001021021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10011001021021 is a deficient number, since it is larger than the sum of its proper divisors (3582221086115).

10011001021021 is a wasteful number, since it uses less digits than its factorization.

10011001021021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101162.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011001021021 its reverse (12012010011001), we get a palindrome (22023011032022).

The spelling of 10011001021021 in words is "ten trillion, eleven billion, one million, twenty-one thousand, twenty-one".

Divisors: 1 7 11 13 77 91 97 143 679 1001 1031 1067 1261 7217 7469 8827 11341 13403 13871 79387 93821 97097 100003 100007 147433 700021 700049 1032031 1100033 1100077 1300039 1300091 7700231 7700539 9100273 9100637 9700291 14300429 14301001 67902037 100103003 100107007 103103093 106703201 126103783 721721651 746922407 882726481 1134134023 1340340209 1387141613 7938938161 9382381463 9709991291 10001000021 14743742299 70007000147 103206196093 110011000231 130013000273 770077001617 910091001911 1430143003003 10011001021021