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101023530 = 23529151769
BaseRepresentation
bin1100000010101…
…11111100101010
321001002112020020
412001113330222
5201330223110
614005141310
72334454146
oct601277452
9231075206
10101023530
1152030523
12299ba836
1317c1164a
14d5ba226
158d07d70
hex6057f2a

101023530 has 64 divisors (see below), whose sum is σ = 252806400. Its totient is φ = 25804800.

The previous prime is 101023499. The next prime is 101023543. The reversal of 101023530 is 35320101.

It is a happy number.

It is a super-2 number, since 2×1010235302 = 20411507227321800, which contains 22 as substring.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130986 + ... + 131754.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2101023530 is an apocalyptic number.

101023530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101023530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126403200).

101023530 is an abundant number, since it is smaller than the sum of its proper divisors (151782870).

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

101023530 is a wasteful number, since it uses less digits than its factorization.

101023530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 101023530 is about 10051.0462142008. The cubic root of 101023530 is about 465.7371128019.

Adding to 101023530 its reverse (35320101), we get a palindrome (136343631).

The spelling of 101023530 in words is "one hundred one million, twenty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 151 174 290 302 435 453 755 769 870 906 1510 1538 2265 2307 3845 4379 4530 4614 7690 8758 11535 13137 21895 22301 23070 26274 43790 44602 65685 66903 111505 116119 131370 133806 223010 232238 334515 348357 580595 669030 696714 1161190 1741785 3367451 3483570 6734902 10102353 16837255 20204706 33674510 50511765 101023530