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110400222144 = 2631538337379
BaseRepresentation
bin110011011010001011…
…1011011001111000000
3101112221222111100221110
41212310113123033000
53302044424102034
6122414523523320
710655551255602
oct1466427331700
9345858440843
10110400222144
1142903057a13
1219490989540
13a5453b8644
1454b4405172
152d12301de9
hex19b45db3c0

110400222144 has 56 divisors (see below), whose sum is σ = 292127391360. Its totient is φ = 36796697344.

The previous prime is 110400222137. The next prime is 110400222169. The reversal of 110400222144 is 441222004011.

It is a self number, because there is not a number n which added to its sum of digits gives 110400222144.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2934847 + ... + 2972225.

It is an arithmetic number, because the mean of its divisors is an integer number (5216560560).

Almost surely, 2110400222144 is an apocalyptic number.

It is an amenable number.

110400222144 is an abundant number, since it is smaller than the sum of its proper divisors (181727169216).

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

110400222144 is a wasteful number, since it uses less digits than its factorization.

110400222144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52777 (or 52767 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 110400222144 its reverse (441222004011), we get a palindrome (551622226155).

The spelling of 110400222144 in words is "one hundred ten billion, four hundred million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 15383 30766 37379 46149 61532 74758 92298 112137 123064 149516 184596 224274 246128 299032 369192 448548 492256 598064 738384 897096 984512 1196128 1476768 1794192 2392256 2953536 3588384 7176768 575001157 1150002314 1725003471 2300004628 3450006942 4600009256 6900013884 9200018512 13800027768 18400037024 27600055536 36800074048 55200111072 110400222144