Search a number
-
+
100111011111108 = 22324316452114663
BaseRepresentation
bin10110110000110011101001…
…010000010110000011000100
3111010110112000111022021100100
4112300303221100112003010
5101110204322321023413
6552530210312044100
730041532116051424
oct2660635120260304
9433415014267310
10100111011111108
1129997928979aa8
12b28a227093630
1343b2573c7053a
141aa15823d6484
15b891b5540a73
hex5b0ce94160c4

100111011111108 has 36 divisors (see below), whose sum is σ = 253645531671168. Its totient is φ = 33292911655920.

The previous prime is 100111011111103. The next prime is 100111011111121. The reversal of 100111011111108 is 801111110111001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (100111011111101) 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 11 ways as a sum of consecutive naturals, for example, 3226041816 + ... + 3226072847.

It is an arithmetic number, because the mean of its divisors is an integer number (7045709213088).

Almost surely, 2100111011111108 is an apocalyptic number.

100111011111108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100111011111108 is an abundant number, since it is smaller than the sum of its proper divisors (153534520560060).

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

100111011111108 is a wasteful number, since it uses less digits than its factorization.

100111011111108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6452115104 (or 6452115099 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 18.

Adding to 100111011111108 its reverse (801111110111001), we get a palindrome (901222121222109).

The spelling of 100111011111108 in words is "one hundred trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 431 862 1293 1724 2586 3879 5172 7758 15516 6452114663 12904229326 19356343989 25808458652 38712687978 58069031967 77425375956 116138063934 232276127868 2780861419753 5561722839506 8342584259259 11123445679012 16685168518518 25027752777777 33370337037036 50055505555554 100111011111108