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10100212012220 = 2251197729469769
BaseRepresentation
bin1001001011111010001110…
…0011001001010010111100
31022202120102010210221011112
42102332203203021102330
52310440213233342340
633251550124141152
72061500445400241
oct222764343112274
938676363727145
1010100212012220
113244526407030
1211715a46977b8
135835a4869985
1426cbd23bb5c8
15127ae2aab065
hex92fa38c94bc

10100212012220 has 48 divisors (see below), whose sum is σ = 23138953538400. Its totient is φ = 3672758968320.

The previous prime is 10100212012207. The next prime is 10100212012229. The reversal of 10100212012220 is 2221021200101.

10100212012220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10100212012195 and 10100212012204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100212012229) 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, 21265496 + ... + 21735264.

It is an arithmetic number, because the mean of its divisors is an integer number (482061532050).

Almost surely, 210100212012220 is an apocalyptic number.

10100212012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100212012220 is an abundant number, since it is smaller than the sum of its proper divisors (13038741526180).

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

10100212012220 is a wasteful number, since it uses less digits than its factorization.

10100212012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567518 (or 567516 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10100212012220 its reverse (2221021200101), we get a palindrome (12321233212321).

The spelling of 10100212012220 in words is "ten trillion, one hundred billion, two hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 97729 195458 390916 469769 488645 939538 977290 1075019 1879076 1954580 2150038 2348845 4300076 4697690 5167459 5375095 9395380 10334918 10750190 20669836 21500380 25837295 51674590 103349180 45910054601 91820109202 183640218404 229550273005 459100546010 505010600611 918201092020 1010021201222 2020042402444 2525053003055 5050106006110 10100212012220