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101101201110 = 23357134114823
BaseRepresentation
bin101111000101000011…
…0011110011011010110
3100122221220202011012000
41132022012132123112
53124023401413420
6114240101340130
710206245013240
oct1361206363326
9318856664160
10101101201110
1139970aa0868
1217716707646
1396c29c1030
144c713d3090
15296ac5b690
hex178a19e6d6

101101201110 has 128 divisors (see below), whose sum is σ = 331819407360. Its totient is φ = 21331237248.

The previous prime is 101101201067. The next prime is 101101201147. The reversal of 101101201110 is 11102101101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101101201092 and 101101201101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2032842 + ... + 2081981.

It is an arithmetic number, because the mean of its divisors is an integer number (2592339120).

Almost surely, 2101101201110 is an apocalyptic number.

101101201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101201110 is an abundant number, since it is smaller than the sum of its proper divisors (230718206250).

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

101101201110 is a wasteful number, since it uses less digits than its factorization.

101101201110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114859 (or 4114853 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101201110 its reverse (11102101101), we get a palindrome (112203302211).

The spelling of 101101201110 in words is "one hundred one billion, one hundred one million, two hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 4114823 8229646 12344469 20574115 24688938 28803761 37033407 41148230 53492699 57607522 61722345 74066814 86411283 106985398 111100221 123444690 144018805 160478097 172822566 185167035 222200442 259233849 267463495 288037610 320956194 370334070 374448893 432056415 481434291 518467698 534926990 555501105 748897786 777701547 802390485 864112830 962868582 1111002210 1123346679 1296169245 1444302873 1555403094 1604780970 1872244465 2246693358 2407171455 2592338490 2888605746 3370040037 3744488930 3888507735 4814342910 5616733395 6740080074 7221514365 7777015470 10110120111 11233466790 14443028730 16850200185 20220240222 33700400370 50550600555 101101201110