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10022103144 = 23321011519127
BaseRepresentation
bin10010101010101110…
…10010100001101000
3221212110100120221100
421111113102201220
5131011124300034
64334252241400
7503233320414
oct112527224150
927773316840
1010022103144
114283241479
121b38470260
13c39458c61
146b1077d44
153d9cc7099
hex2555d2868

10022103144 has 96 divisors (see below), whose sum is σ = 27596499840. Its totient is φ = 3285360000.

The previous prime is 10022103121. The next prime is 10022103151. The reversal of 10022103144 is 44130122001.

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

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, 1093509 + ... + 1102635.

It is an arithmetic number, because the mean of its divisors is an integer number (287463540).

Almost surely, 210022103144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13798249920).

10022103144 is an abundant number, since it is smaller than the sum of its proper divisors (17574396696).

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

10022103144 is a wasteful number, since it uses less digits than its factorization.

10022103144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9391 (or 9384 counting only the distinct ones).

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

Adding to 10022103144 its reverse (44130122001), we get a palindrome (54152225145).

The spelling of 10022103144 in words is "ten billion, twenty-two million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 151 202 302 303 404 453 604 606 808 906 909 1208 1212 1359 1812 1818 2424 2718 3624 3636 5436 7272 9127 10872 15251 18254 27381 30502 36508 45753 54762 61004 73016 82143 91506 109524 122008 137259 164286 183012 219048 274518 328572 366024 549036 657144 921827 1098072 1378177 1843654 2756354 2765481 3687308 4134531 5512708 5530962 7374616 8269062 8296443 11025416 11061924 12403593 16538124 16592886 22123848 24807186 33076248 33185772 49614372 66371544 99228744 139195877 278391754 417587631 556783508 835175262 1113567016 1252762893 1670350524 2505525786 3340701048 5011051572 10022103144