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101022420 = 223513912113
BaseRepresentation
bin1100000010101…
…11101011010100
321001002110201010
412001113223110
5201330204140
614005132220
72334451002
oct601275324
9231073633
10101022420
115202a704
12299ba070
1317c10ca5
14d5b9a72
158d07880
hex6057ad4

101022420 has 48 divisors (see below), whose sum is σ = 284921280. Its totient is φ = 26743296.

The previous prime is 101022419. The next prime is 101022443. The reversal of 101022420 is 24220101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101022396 and 101022405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2284 + ... + 14396.

It is an arithmetic number, because the mean of its divisors is an integer number (5935860).

Almost surely, 2101022420 is an apocalyptic number.

101022420 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 101022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142460640).

101022420 is an abundant number, since it is smaller than the sum of its proper divisors (183898860).

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

101022420 is a wasteful number, since it uses less digits than its factorization.

101022420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12264 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 101022420 is about 10050.9909959168. The cubic root of 101022420 is about 465.7354070274.

Adding to 101022420 its reverse (24220101), we get a palindrome (125242521).

The spelling of 101022420 in words is "one hundred one million, twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 8340 12113 24226 36339 48452 60565 72678 121130 145356 181695 242260 363390 726780 1683707 3367414 5051121 6734828 8418535 10102242 16837070 20204484 25255605 33674140 50511210 101022420