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1010023301021 = 73107173271587
BaseRepresentation
bin11101011001010100001…
…01000111111110011101
310120120001021000212121012
432230222011013332131
5113022011431113041
62051555344345005
7132654214256000
oct16545205077635
93516037025535
101010023301021
1135a391905349
121438ba915165
1374324a53aa7
1436c57713537
151b4166c83eb
hexeb2a147f9d

1010023301021 has 64 divisors (see below), whose sum is σ = 1202206924800. Its totient is φ = 848092109760.

The previous prime is 1010023300999. The next prime is 1010023301051. The reversal of 1010023301021 is 1201033200101.

It is not a de Polignac number, because 1010023301021 - 214 = 1010023284637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010023300987 and 1010023301005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010023301051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1720652690 + ... + 1720653276.

It is an arithmetic number, because the mean of its divisors is an integer number (18784483200).

Almost surely, 21010023301021 is an apocalyptic number.

It is an amenable number.

1010023301021 is a deficient number, since it is larger than the sum of its proper divisors (192183623779).

1010023301021 is a wasteful number, since it uses less digits than its factorization.

1010023301021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 1010023301021 its reverse (1201033200101), we get a palindrome (2211056501122).

The spelling of 1010023301021 in words is "one trillion, ten billion, twenty-three million, three hundred one thousand, twenty-one".

Divisors: 1 7 49 107 173 271 343 587 749 1211 1897 4109 5243 8477 13279 18511 28763 28997 36701 46883 59339 62809 92953 101551 129577 159077 201341 202979 328181 439663 710857 907039 1113539 1420853 2297267 3077641 4975999 5016481 6349273 7794773 9945971 10865957 16080869 17021239 21543487 27520321 34831993 35115367 54563411 76061699 119148673 192642247 245807569 532431893 834040711 1348495729 1720652983 2944674347 3727023251 5838284977 9439470103 20612720429 144289043003 1010023301021