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101210212220 = 225131792174693
BaseRepresentation
bin101111001000010011…
…0010100011101111100
3100200020111212111022112
41132100212110131330
53124234303242340
6114254554033152
710212040416005
oct1362046243574
9320214774275
10101210212220
1139a17587497
12177471187b8
13970c46b250
144c81a8c1ac
1529755e1065
hex179099477c

101210212220 has 48 divisors (see below), whose sum is σ = 230169612960. Its totient is φ = 37161136896.

The previous prime is 101210212219. The next prime is 101210212241. The reversal of 101210212220 is 22212012101.

It is a junction number, because it is equal to n+sod(n) for n = 101210212195 and 101210212204.

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 15 ways as a sum of consecutive naturals, for example, 1040807 + ... + 1133886.

It is an arithmetic number, because the mean of its divisors is an integer number (4795200270).

Almost surely, 2101210212220 is an apocalyptic number.

101210212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210212220 is an abundant number, since it is smaller than the sum of its proper divisors (128959400740).

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

101210212220 is a wasteful number, since it uses less digits than its factorization.

101210212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174894 (or 2174892 counting only the distinct ones).

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

Adding to 101210212220 its reverse (22212012101), we get a palindrome (123422224321).

The spelling of 101210212220 in words is "one hundred one billion, two hundred ten million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 179 260 358 716 895 1790 2327 3580 4654 9308 11635 23270 46540 2174693 4349386 8698772 10873465 21746930 28271009 43493860 56542018 113084036 141355045 282710090 389270047 565420180 778540094 1557080188 1946350235 3892700470 5060510611 7785400940 10121021222 20242042444 25302553055 50605106110 101210212220