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101111340 = 223511239641
BaseRepresentation
bin1100000011011…
…01011000101100
321001020222200110
412001231120230
5201341030330
614011100020
72335301151
oct601553054
9231228613
10101111340
11520904a0
1229a41610
1317c425c5
14d600228
158d23db0
hex606d62c

101111340 has 96 divisors (see below), whose sum is σ = 310625280. Its totient is φ = 24371200.

The previous prime is 101111327. The next prime is 101111341. The reversal of 101111340 is 43111101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101111341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157420 + ... + 158060.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 2101111340 is an apocalyptic number.

101111340 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 101111340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155312640).

101111340 is an abundant number, since it is smaller than the sum of its proper divisors (209513940).

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

101111340 is a wasteful number, since it uses less digits than its factorization.

101111340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 901 counting only the distinct ones).

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

The square root of 101111340 is about 10055.4134673816. The cubic root of 101111340 is about 465.8720138245.

Adding to 101111340 its reverse (43111101), we get a palindrome (144222441).

The spelling of 101111340 in words is "one hundred one million, one hundred eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 239 330 478 641 660 717 956 1195 1282 1434 1923 2390 2564 2629 2868 3205 3585 3846 4780 5258 6410 7051 7170 7692 7887 9615 10516 12820 13145 14102 14340 15774 19230 21153 26290 28204 31548 35255 38460 39435 42306 52580 70510 78870 84612 105765 141020 153199 157740 211530 306398 423060 459597 612796 765995 919194 1531990 1685189 1838388 2297985 3063980 3370378 4595970 5055567 6740756 8425945 9191940 10111134 16851890 20222268 25277835 33703780 50555670 101111340