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101223320 = 23511379607
BaseRepresentation
bin1100000100010…
…00101110011000
321001110200021212
412002020232120
5201403121240
614013322252
72336245502
oct602105630
9231420255
10101223320
1152157640
1229a96388
1317c81573
14d62cd72
158d47165
hex6088b98

101223320 has 64 divisors (see below), whose sum is σ = 249523200. Its totient is φ = 36650880.

The previous prime is 101223319. The next prime is 101223329. The reversal of 101223320 is 23322101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101223295 and 101223304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223329) 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, 166457 + ... + 167063.

It is an arithmetic number, because the mean of its divisors is an integer number (3898800).

Almost surely, 2101223320 is an apocalyptic number.

101223320 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 101223320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124761600).

101223320 is an abundant number, since it is smaller than the sum of its proper divisors (148299880).

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

101223320 is a wasteful number, since it uses less digits than its factorization.

101223320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 101223320 is about 10060.9800715437. The cubic root of 101223320 is about 466.0439335494.

Adding to 101223320 its reverse (23322101), we get a palindrome (124545421).

The spelling of 101223320 in words is "one hundred one million, two hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 379 440 607 758 1214 1516 1895 2428 3032 3035 3790 4169 4856 6070 6677 7580 8338 12140 13354 15160 16676 20845 24280 26708 33352 33385 41690 53416 66770 83380 133540 166760 230053 267080 460106 920212 1150265 1840424 2300530 2530583 4601060 5061166 9202120 10122332 12652915 20244664 25305830 50611660 101223320