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21203032122 = 2336726322283
BaseRepresentation
bin10011101111110011…
…001001100000111010
32000201200020122002000
4103233303021200322
5321410434011442
613423542321430
71350300541116
oct235763114072
960650218060
1021203032122
118aa0616948
124138a29276
131ccb9c126c
141051da4746
158416a4d4c
hex4efcc983a

21203032122 has 64 divisors (see below), whose sum is σ = 48005084160. Its totient is φ = 6935406192.

The previous prime is 21203032099. The next prime is 21203032127. The reversal of 21203032122 is 22123030212.

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

It is a junction number, because it is equal to n+sod(n) for n = 21203032095 and 21203032104.

It is not an unprimeable number, because it can be changed into a prime (21203032127) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 940393 + ... + 962675.

It is an arithmetic number, because the mean of its divisors is an integer number (750079440).

Almost surely, 221203032122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21203032122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24002542080).

21203032122 is an abundant number, since it is smaller than the sum of its proper divisors (26802052038).

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

21203032122 is a wasteful number, since it uses less digits than its factorization.

21203032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22624 (or 22618 counting only the distinct ones).

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

Adding to 21203032122 its reverse (22123030212), we get a palindrome (43326062334).

The spelling of 21203032122 in words is "twenty-one billion, two hundred three million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 263 402 526 603 789 1206 1578 1809 2367 3618 4734 7101 14202 17621 22283 35242 44566 52863 66849 105726 133698 158589 200547 317178 401094 475767 601641 951534 1203282 1492961 2985922 4478883 5860429 8957766 11720858 13436649 17581287 26873298 35162574 40309947 52743861 80619894 105487722 158231583 316463166 392648743 785297486 1177946229 2355892458 3533838687 7067677374 10601516061 21203032122