Search a number
-
+
1122012101100 = 2235211340003667
BaseRepresentation
bin10000010100111101001…
…000011111100111101100
310222021002221201100210110
4100110331020133213230
5121340340044213400
62215240101140020
7144030335333262
oct20247510374754
93867087640713
101122012101100
113a292a642390
121615536ba610
1381a612a6277
143c43cab8432
151e2bd1bee50
hex1053d21f9ec

1122012101100 has 72 divisors (see below), whose sum is σ = 3541478205888. Its totient is φ = 272002932800.

The previous prime is 1122012101099. The next prime is 1122012101129. The reversal of 1122012101100 is 11012102211.

It is a super-2 number, since 2×11220121011002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169998534 + ... + 170005133.

It is an arithmetic number, because the mean of its divisors is an integer number (49187197304).

Almost surely, 21122012101100 is an apocalyptic number.

1122012101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122012101100 is an abundant number, since it is smaller than the sum of its proper divisors (2419466104788).

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

1122012101100 is a wasteful number, since it uses less digits than its factorization.

1122012101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340003695 (or 340003688 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1122012101100 its reverse (11012102211), we get a palindrome (1133024203311).

The spelling of 1122012101100 in words is "one trillion, one hundred twenty-two billion, twelve million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 340003667 680007334 1020011001 1360014668 1700018335 2040022002 3400036670 3740040337 4080044004 5100055005 6800073340 7480080674 8500091675 10200110010 11220121011 14960161348 17000183350 18700201685 20400220020 22440242022 25500275025 34000366700 37400403370 44880484044 51000550050 56100605055 74800806740 93501008425 102001100100 112201210110 187002016850 224402420220 280503025275 374004033700 561006050550 1122012101100