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1121110002100 = 2252114721684913
BaseRepresentation
bin10000010100000111010…
…111010000100110110100
310222011210002020222121101
4100110013113100212310
5121332013130031400
62215010354055444
7143666102533114
oct20240727204664
93864702228541
101121110002100
113a2507407020
1216134157a584
138194942638a
143c394d73044
151e268dcb56a
hex105075d09b4

1121110002100 has 72 divisors (see below), whose sum is σ = 2710440770688. Its totient is φ = 399002380800.

The previous prime is 1121110001983. The next prime is 1121110002101. The reversal of 1121110002100 is 12000111211.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121110002101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10790757 + ... + 10894156.

It is an arithmetic number, because the mean of its divisors is an integer number (37645010704).

Almost surely, 21121110002100 is an apocalyptic number.

1121110002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121110002100 is an abundant number, since it is smaller than the sum of its proper divisors (1589330768588).

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

1121110002100 is a wasteful number, since it uses less digits than its factorization.

1121110002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21684985 (or 21684978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1121110002100 its reverse (12000111211), we get a palindrome (1133110113311).

The spelling of 1121110002100 in words is "one trillion, one hundred twenty-one billion, one hundred ten million, two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 2068 2350 2585 4700 5170 10340 12925 25850 51700 21684913 43369826 86739652 108424565 216849130 238534043 433698260 477068086 542122825 954136172 1019190911 1084245650 1192670215 2038381822 2168491300 2385340430 4076763644 4770680860 5095954555 5963351075 10191909110 11211100021 11926702150 20383818220 22422200042 23853404300 25479772775 44844400084 50959545550 56055500105 101919091100 112111000210 224222000420 280277500525 560555001050 1121110002100