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101222421003 = 32111783724627
BaseRepresentation
bin101111001000101010…
…0111001001000001011
3100200021100211202121200
41132101110321020023
53124300414433003
6114300111435243
710212246245064
oct1362124711013
9320240752550
10101222421003
1139a234660a0
121774b225b23
139711b54292
144c8354956b
1529767036a3
hex179153920b

101222421003 has 48 divisors (see below), whose sum is σ = 170919455616. Its totient is φ = 57042558720.

The previous prime is 101222420989. The next prime is 101222421161. The reversal of 101222421003 is 300124222101.

It is a happy number.

It is not a de Polignac number, because 101222421003 - 24 = 101222420987 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222421203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222625 + ... + 502002.

It is an arithmetic number, because the mean of its divisors is an integer number (3560821992).

Almost surely, 2101222421003 is an apocalyptic number.

101222421003 is a deficient number, since it is larger than the sum of its proper divisors (69697034613).

101222421003 is a wasteful number, since it uses less digits than its factorization.

101222421003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724744 (or 724741 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101222421003 its reverse (300124222101), we get a palindrome (401346643104).

It can be divided in two parts, 101222 and 421003, that added together give a palindrome (522225).

The spelling of 101222421003 in words is "one hundred one billion, two hundred twenty-two million, four hundred twenty-one thousand, three".

Divisors: 1 3 9 11 17 33 51 83 99 153 187 249 561 747 913 1411 1683 2739 4233 8217 12699 15521 46563 139689 724627 2173881 6521643 7970897 12318659 23912691 36955977 60144041 71738073 110867931 135505249 180432123 406515747 541296369 661584451 1022448697 1219547241 1984753353 3067346091 5954260059 9202038273 11246935667 33740807001 101222421003