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107211500 = 225311101193
BaseRepresentation
bin1100110001111…
…10101011101100
321110201220112022
412120332223230
5204421232000
614345525312
72441165654
oct630765354
9243656468
10107211500
1155577650
122baa3838
131929a076
141034b364
15962b585
hex663eaec

107211500 has 96 divisors (see below), whose sum is σ = 259301952. Its totient is φ = 38400000.

The previous prime is 107211493. The next prime is 107211529. The reversal of 107211500 is 5112701.

It is a super-2 number, since 2×1072115002 = 22988611464500000, which contains 22 as substring.

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, 555404 + ... + 555596.

It is an arithmetic number, because the mean of its divisors is an integer number (2701062).

Almost surely, 2107211500 is an apocalyptic number.

107211500 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 107211500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129650976).

107211500 is an abundant number, since it is smaller than the sum of its proper divisors (152090452).

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

107211500 is a wasteful number, since it uses less digits than its factorization.

107211500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 107211500 is about 10354.2986242430. The cubic root of 107211500 is about 475.0585338762.

It can be divided in two parts, 10721 and 1500, that added together give a palindrome (12221).

The spelling of 107211500 in words is "one hundred seven million, two hundred eleven thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 125 193 202 220 250 275 386 404 500 505 550 772 965 1010 1100 1111 1375 1930 2020 2123 2222 2525 2750 3860 4246 4444 4825 5050 5500 5555 8492 9650 10100 10615 11110 12625 19300 19493 21230 22220 24125 25250 27775 38986 42460 48250 50500 53075 55550 77972 96500 97465 106150 111100 138875 194930 212300 214423 265375 277750 389860 428846 487325 530750 555500 857692 974650 1061500 1072115 1949300 2144230 2436625 4288460 4873250 5360575 9746500 10721150 21442300 26802875 53605750 107211500