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101021520 = 24352318301
BaseRepresentation
bin1100000010101…
…11011101010000
321001002102110210
412001113131100
5201330142040
614005124120
72334445245
oct601273520
9231072423
10101021520
1152029a66
12299b9640
1317c10762
14d5b95cc
158d07480
hex6057750

101021520 has 80 divisors (see below), whose sum is σ = 326800512. Its totient is φ = 25766400.

The previous prime is 101021519. The next prime is 101021533. The reversal of 101021520 is 25120101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1010215202 = 20410695006220800, which contains 22 as substring.

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 = 101021496 and 101021505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3631 + ... + 14670.

Almost surely, 2101021520 is an apocalyptic number.

101021520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021520 is an abundant number, since it is smaller than the sum of its proper divisors (225778992).

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

101021520 is a wasteful number, since it uses less digits than its factorization.

101021520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18340 (or 18334 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101021520 is about 10050.9462241124. The cubic root of 101021520 is about 465.7340239578.

Adding to 101021520 its reverse (25120101), we get a palindrome (126141621).

The spelling of 101021520 in words is "one hundred one million, twenty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 18301 36602 54903 73204 91505 109806 146408 183010 219612 274515 292816 366020 420923 439224 549030 732040 841846 878448 1098060 1262769 1464080 1683692 2104615 2196120 2525538 3367384 4209230 4392240 5051076 6313845 6734768 8418460 10102152 12627690 16836920 20204304 25255380 33673840 50510760 101021520