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1010222102000 = 2453601840451
BaseRepresentation
bin11101011001101011110…
…11011111010111110000
310120120120010010000021102
432230311323133113300
5113022413324231000
62052031205343532
7132662150120456
oct16546573372760
93516503100242
101010222102000
1135a484049481
12143955407ba8
1374356cab3c7
1436c75ca29d6
151b428d973d5
hexeb35edf5f0

1010222102000 has 80 divisors (see below), whose sum is σ = 2446784374944. Its totient is φ = 403416000000.

The previous prime is 1010222101991. The next prime is 1010222102003. The reversal of 1010222102000 is 2012220101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010222102003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 781775 + ... + 1622225.

Almost surely, 21010222102000 is an apocalyptic number.

1010222102000 is a gapful number since it is divisible by the number (10) 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 1010222102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223392187472).

1010222102000 is an abundant number, since it is smaller than the sum of its proper divisors (1436562272944).

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

1010222102000 is an equidigital number, since it uses as much as digits as its factorization.

1010222102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841075 (or 841059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1010222102000 its reverse (2012220101), we get a palindrome (1012234322101).

It can be divided in two parts, 101022 and 2102000, that added together give a palindrome (2203022).

The spelling of 1010222102000 in words is "one trillion, ten billion, two hundred twenty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 601 1000 1202 2000 2404 3005 4808 6010 9616 12020 15025 24040 30050 48080 60100 75125 120200 150250 240400 300500 601000 840451 1202000 1680902 3361804 4202255 6723608 8404510 13447216 16809020 21011275 33618040 42022550 67236080 84045100 105056375 168090200 210112750 336180400 420225500 505111051 840451000 1010222102 1680902000 2020444204 2525555255 4040888408 5051110510 8081776816 10102221020 12627776275 20204442040 25255552550 40408884080 50511105100 63138881375 101022210200 126277762750 202044420400 252555525500 505111051000 1010222102000