Search a number
-
+
21002023300302 = 2331135356941583
BaseRepresentation
bin1001100011001111010100…
…01000110110110011001110
32202100202220010002020101000
410301213222020312303032
510223044120431102202
6112400110223001130
74265226500365422
oct461475210666316
982322803066330
1021002023300302
1167679a96a4440
1224323bb1391a6
13b946367c4295
145287092a6b82
1526649e06391c
hex1319ea236cce

21002023300302 has 32 divisors (see below), whose sum is σ = 50913995880960. Its totient is φ = 6364249484760.

The previous prime is 21002023300267. The next prime is 21002023300303. The reversal of 21002023300302 is 20300332020012.

It is a happy number.

21002023300302 is a `hidden beast` number, since 2 + 10 + 0 + 20 + 2 + 330 + 0 + 302 = 666.

It is a super-2 number, since 2×210020233003022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002023300303) 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 15 ways as a sum of consecutive naturals, for example, 17678470198 + ... + 17678471385.

It is an arithmetic number, because the mean of its divisors is an integer number (1591062371280).

Almost surely, 221002023300302 is an apocalyptic number.

21002023300302 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

21002023300302 is an abundant number, since it is smaller than the sum of its proper divisors (29911972580658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21002023300302 is a wasteful number, since it uses less digits than its factorization.

21002023300302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35356941605 (or 35356941599 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 21002023300302 its reverse (20300332020012), we get a palindrome (41302355320314).

The spelling of 21002023300302 in words is "twenty-one trillion, two billion, twenty-three million, three hundred thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 35356941583 70713883166 106070824749 212141649498 318212474247 388926357413 636424948494 777852714826 954637422741 1166779072239 1909274845482 2333558144478 3500337216717 7000674433434 10501011650151 21002023300302