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101234220 = 223531371471
BaseRepresentation
bin1100000100010…
…11011000101100
321001111020020120
412002023120230
5201403443340
614013444540
72336322333
oct602133054
9231436216
10101234220
115216484a
1229aa0750
1317c86509
14d632d1a
158d4a4d0
hex608b62c

101234220 has 96 divisors (see below), whose sum is σ = 300711936. Its totient is φ = 25401600.

The previous prime is 101234209. The next prime is 101234227. The reversal of 101234220 is 22432101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101234220.

It is not an unprimeable number, because it can be changed into a prime (101234227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68085 + ... + 69555.

It is an arithmetic number, because the mean of its divisors is an integer number (3132416).

Almost surely, 2101234220 is an apocalyptic number.

101234220 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 101234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150355968).

101234220 is an abundant number, since it is smaller than the sum of its proper divisors (199477716).

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

101234220 is a wasteful number, since it uses less digits than its factorization.

101234220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 101234220 is about 10061.5217536911. The cubic root of 101234220 is about 466.0606612381.

Adding to 101234220 its reverse (22432101), we get a palindrome (123666321).

The spelling of 101234220 in words is "one hundred one million, two hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 37 60 62 74 93 111 124 148 155 185 186 222 310 370 372 444 465 555 620 740 930 1110 1147 1471 1860 2220 2294 2942 3441 4413 4588 5735 5884 6882 7355 8826 11470 13764 14710 17205 17652 22065 22940 29420 34410 44130 45601 54427 68820 88260 91202 108854 136803 163281 182404 217708 228005 272135 273606 326562 456010 544270 547212 653124 684015 816405 912020 1088540 1368030 1632810 1687237 2736060 3265620 3374474 5061711 6748948 8436185 10123422 16872370 20246844 25308555 33744740 50617110 101234220