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20342100100 = 22527227115319
BaseRepresentation
bin10010111100011110…
…111101000010000100
31221111200020202100211
4102330132331002010
5313130034200400
613202305445204
71320044666200
oct227436750204
957450222324
1020342100100
118699648983
123b38640804
131bc252612a
14dad8d7b00
157e0ce3dba
hex4bc7bd084

20342100100 has 108 divisors (see below), whose sum is σ = 51542117760. Its totient is φ = 6948244800.

The previous prime is 20342100089. The next prime is 20342100101. The reversal of 20342100100 is 100124302.

It is not an unprimeable number, because it can be changed into a prime (20342100101) 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 35 ways as a sum of consecutive naturals, for example, 1320241 + ... + 1335559.

Almost surely, 220342100100 is an apocalyptic number.

20342100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20342100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25771058880).

20342100100 is an abundant number, since it is smaller than the sum of its proper divisors (31200017660).

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

20342100100 is a wasteful number, since it uses less digits than its factorization.

20342100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20342100100 its reverse (100124302), we get a palindrome (20442224402).

The spelling of 20342100100 in words is "twenty billion, three hundred forty-two million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 271 350 490 542 700 980 1084 1225 1355 1897 2450 2710 3794 4900 5420 6775 7588 9485 13279 13550 15319 18970 26558 27100 30638 37940 47425 53116 61276 66395 76595 94850 107233 132790 153190 189700 214466 265580 306380 331975 382975 428932 536165 663950 750631 765950 1072330 1327900 1501262 1531900 2144660 2680825 3002524 3753155 4151449 5361650 7506310 8302898 10723300 15012620 16605796 18765775 20757245 29060143 37531550 41514490 58120286 75063100 83028980 103786225 116240572 145300715 203421001 207572450 290601430 406842002 415144900 581202860 726503575 813684004 1017105005 1453007150 2034210010 2906014300 4068420020 5085525025 10171050050 20342100100