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100111101100 = 225217532394649
BaseRepresentation
bin101110100111100010…
…1100010110010101100
3100120101220200212022021
41131033011202302230
53120011420213400
6113553532155524
710142563214263
oct1351705426254
9316356625267
10100111101100
1139503119a9a
121749b008ba4
13959583c03a
144bb9b015da
15290dd8371a
hex174f162cac

100111101100 has 144 divisors (see below), whose sum is σ = 235391184000. Its totient is φ = 36815134720.

The previous prime is 100111101073. The next prime is 100111101107. The reversal of 100111101100 is 1101111001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100111101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21531576 + ... + 21536224.

It is an arithmetic number, because the mean of its divisors is an integer number (1634661000).

Almost surely, 2100111101100 is an apocalyptic number.

100111101100 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 100111101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117695592000).

100111101100 is an abundant number, since it is smaller than the sum of its proper divisors (135280082900).

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

100111101100 is a wasteful number, since it uses less digits than its factorization.

100111101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4972 (or 4965 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111101100 its reverse (1101111001), we get a palindrome (101212212101).

Subtracting from 100111101100 its reverse (1101111001), we obtain a palindrome (99009990099).

It can be divided in two parts, 10011 and 1101100, that added together give a palindrome (1111111).

The spelling of 100111101100 in words is "one hundred billion, one hundred eleven million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 239 265 340 425 478 530 850 901 956 1060 1195 1325 1700 1802 2390 2650 3604 4063 4505 4649 4780 5300 5975 8126 9010 9298 11950 12667 16252 18020 18596 20315 22525 23245 23900 25334 40630 45050 46490 50668 63335 79033 81260 90100 92980 101575 116225 126670 158066 203150 215339 232450 246397 253340 316132 316675 395165 406300 430678 464900 492794 633350 790330 861356 985588 1076695 1111111 1231985 1266700 1580660 1975825 2153390 2222222 2463970 3951650 4188749 4306780 4444444 4927940 5383475 5555555 6159925 7903300 8377498 10766950 11111110 12319850 16754996 18888887 20943745 21533900 22222220 24639700 27777775 37777774 41887490 55555550 58888883 75555548 83774980 94444435 104718725 111111100 117777766 188888870 209437450 235555532 294444415 377777740 418874900 472222175 588888830 944444350 1001111011 1177777660 1472222075 1888888700 2002222022 2944444150 4004444044 5005555055 5888888300 10011110110 20022220220 25027775275 50055550550 100111101100