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1022201540416 = 2673536463739
BaseRepresentation
bin11101101111111111111…
…01011010111101000000
310121201110222112112102201
432313333331122331000
5113221432043243131
62101332022322544
7133565051506060
oct16677775327500
93551428475381
101022201540416
11364571136901
12146139289454
1375515ac3cc4
1437690c8b3a0
151b8ca905761
hexedfff5af40

1022201540416 has 56 divisors (see below), whose sum is σ = 2324774583360. Its totient is φ = 436845268992.

The previous prime is 1022201540413. The next prime is 1022201540417. The reversal of 1022201540416 is 6140451022201.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022201540413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3073726 + ... + 3390013.

Almost surely, 21022201540416 is an apocalyptic number.

1022201540416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1022201540416 is an abundant number, since it is smaller than the sum of its proper divisors (1302573042944).

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

1022201540416 is an equidigital number, since it uses as much as digits as its factorization.

1022201540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6464111 (or 6464101 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 1022201540416 its reverse (6140451022201), we get a palindrome (7162652562617).

The spelling of 1022201540416 in words is "one trillion, twenty-two billion, two hundred one million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 353 448 706 1412 2471 2824 4942 5648 9884 11296 19768 22592 39536 79072 158144 6463739 12927478 25854956 45246173 51709912 90492346 103419824 180984692 206839648 361969384 413679296 723938768 1447877536 2281699867 2895755072 4563399734 9126799468 15971899069 18253598936 31943798138 36507197872 63887596276 73014395744 127775192552 146028791488 255550385104 511100770208 1022201540416