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101210223104 = 291009195913
BaseRepresentation
bin101111001000010011…
…0010111001000000000
3100200020111220001020122
41132100212113020000
53124234304114404
6114254554155412
710212040462514
oct1362046271000
9320214801218
10101210223104
1139a17594691
1217747122b68
13970c4731a3
144c81a92144
1529755e43be
hex1790997200

101210223104 has 40 divisors (see below), whose sum is σ = 202424222220. Its totient is φ = 50554699776.

The previous prime is 101210223073. The next prime is 101210223119. The reversal of 101210223104 is 401322012101.

It can be written as a sum of positive squares in 2 ways, for example, as 96875317504 + 4334905600 = 311248^2 + 65840^2 .

It is a super-2 number, since 2×1012102231042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 418652 + ... + 614564.

Almost surely, 2101210223104 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 101210223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101212111110).

101210223104 is an abundant number, since it is smaller than the sum of its proper divisors (101213999116).

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

101210223104 is an equidigital number, since it uses as much as digits as its factorization.

101210223104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196940 (or 196924 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 101210223104 its reverse (401322012101), we get a palindrome (502532235205).

The spelling of 101210223104 in words is "one hundred one billion, two hundred ten million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1009 2018 4036 8072 16144 32288 64576 129152 195913 258304 391826 516608 783652 1567304 3134608 6269216 12538432 25076864 50153728 100307456 197676217 395352434 790704868 1581409736 3162819472 6325638944 12651277888 25302555776 50605111552 101210223104