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101410380 = 22345591061
BaseRepresentation
bin1100000101101…
…10011001001100
321001211011220000
412002312121030
5201430113010
614021324300
72340655041
oct602663114
9231734800
10101410380
1152275135
1229b66690
1318018756
14d67b1c8
158d827c0
hex60b664c

101410380 has 120 divisors (see below), whose sum is σ = 323825040. Its totient is φ = 26559360.

The previous prime is 101410373. The next prime is 101410399. The reversal of 101410380 is 83014101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95050 + ... + 96110.

It is an arithmetic number, because the mean of its divisors is an integer number (2698542).

Almost surely, 2101410380 is an apocalyptic number.

101410380 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 101410380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161912520).

101410380 is an abundant number, since it is smaller than the sum of its proper divisors (222414660).

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

101410380 is a wasteful number, since it uses less digits than its factorization.

101410380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 101410380 is about 10070.2720916567. The cubic root of 101410380 is about 466.3308388848.

Adding to 101410380 its reverse (83014101), we get a palindrome (184424481).

The spelling of 101410380 in words is "one hundred one million, four hundred ten thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 59 60 81 90 108 118 135 162 177 180 236 270 295 324 354 405 531 540 590 708 810 885 1061 1062 1180 1593 1620 1770 2122 2124 2655 3183 3186 3540 4244 4779 5305 5310 6366 6372 7965 9549 9558 10610 10620 12732 15915 15930 19098 19116 21220 23895 28647 31830 31860 38196 47745 47790 57294 62599 63660 85941 95490 95580 114588 125198 143235 171882 187797 190980 250396 286470 312995 343764 375594 429705 563391 572940 625990 751188 859410 938985 1126782 1251980 1690173 1718820 1877970 2253564 2816955 3380346 3755940 5070519 5633910 6760692 8450865 10141038 11267820 16901730 20282076 25352595 33803460 50705190 101410380