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102231100 = 225283109113
BaseRepresentation
bin1100001011111…
…10110000111100
321010100212201001
412011332300330
5202132343400
614051100044
72350643566
oct605766074
9233325631
10102231100
1152785814
122a2a1624
131824519a
14d812336
158e95a6a
hex617ec3c

102231100 has 72 divisors (see below), whose sum is σ = 228579120. Its totient is φ = 39674880.

The previous prime is 102231097. The next prime is 102231109. The reversal of 102231100 is 1132201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102231109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 904644 + ... + 904756.

It is an arithmetic number, because the mean of its divisors is an integer number (3174710).

Almost surely, 2102231100 is an apocalyptic number.

102231100 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 102231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114289560).

102231100 is an abundant number, since it is smaller than the sum of its proper divisors (126348020).

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

102231100 is a wasteful number, since it uses less digits than its factorization.

102231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102231100 is about 10110.9396200353. The cubic root of 102231100 is about 467.5854743770.

Adding to 102231100 its reverse (1132201), we get a palindrome (103363301).

The spelling of 102231100 in words is "one hundred two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 109 113 166 218 226 332 415 436 452 545 565 830 1090 1130 1660 2075 2180 2260 2725 2825 4150 5450 5650 8300 9047 9379 10900 11300 12317 18094 18758 24634 36188 37516 45235 46895 49268 61585 90470 93790 123170 180940 187580 226175 234475 246340 307925 452350 468950 615850 904700 937900 1022311 1231700 2044622 4089244 5111555 10223110 20446220 25557775 51115550 102231100