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20212233102 = 23554776031
BaseRepresentation
bin10010110100101111…
…100011001110001110
31221011121212211100000
4102310233203032032
5312343312424402
613141350145130
71313610101205
oct226457431616
957147784300
1020212233102
118632307986
123b010521a6
131ba1656059
14d9a57023c
157d46dec1c
hex4b4be338e

20212233102 has 48 divisors (see below), whose sum is σ = 45498765312. Its totient is φ = 6725005560.

The previous prime is 20212233091. The next prime is 20212233121. The reversal of 20212233102 is 20133221202.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227827 + ... + 303857.

It is an arithmetic number, because the mean of its divisors is an integer number (947890944).

Almost surely, 220212233102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212233102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22749382656).

20212233102 is an abundant number, since it is smaller than the sum of its proper divisors (25286532210).

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

20212233102 is an equidigital number, since it uses as much as digits as its factorization.

20212233102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76595 (or 76583 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20212233102 its reverse (20133221202), we get a palindrome (40345454304).

The spelling of 20212233102 in words is "twenty billion, two hundred twelve million, two hundred thirty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 547 1094 1641 3282 4923 9846 14769 29538 44307 76031 88614 132921 152062 228093 265842 456186 684279 1368558 2052837 4105674 6158511 12317022 18475533 36951066 41588957 83177914 124766871 249533742 374300613 748601226 1122901839 2245803678 3368705517 6737411034 10106116551 20212233102