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5442122100 = 2235244340949
BaseRepresentation
bin1010001000110000…
…00011000101110100
3112001021022110001210
411010120003011310
542121140401400
62300003321420
7251601163122
oct50430030564
915037273053
105442122100
112342a32978
12107a680270
1368962a8bc
14398aac912
1521cb8a950
hex144603174

5442122100 has 72 divisors (see below), whose sum is σ = 15781802400. Its totient is φ = 1447921280.

The previous prime is 5442122039. The next prime is 5442122131. The reversal of 5442122100 is 12212445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112426 + ... + 153374.

It is an arithmetic number, because the mean of its divisors is an integer number (219191700).

Almost surely, 25442122100 is an apocalyptic number.

5442122100 is a gapful number since it is divisible by the number (50) 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 5442122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890901200).

5442122100 is an abundant number, since it is smaller than the sum of its proper divisors (10339680300).

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

5442122100 is a wasteful number, since it uses less digits than its factorization.

5442122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41409 (or 41402 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5442122100 is about 73770.7401345547. The cubic root of 5442122100 is about 1758.9605281588.

Adding to 5442122100 its reverse (12212445), we get a palindrome (5454334545).

The spelling of 5442122100 in words is "five billion, four hundred forty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 443 886 1329 1772 2215 2658 4430 5316 6645 8860 11075 13290 22150 26580 33225 40949 44300 66450 81898 122847 132900 163796 204745 245694 409490 491388 614235 818980 1023725 1228470 2047450 2456940 3071175 4094900 6142350 12284700 18140407 36280814 54421221 72561628 90702035 108842442 181404070 217684884 272106105 362808140 453510175 544212210 907020350 1088424420 1360530525 1814040700 2721061050 5442122100