Search a number
-
+
1122111220200 = 233521870185367
BaseRepresentation
bin10000010101000011000…
…010100110100111101000
310222021100212020010122020
4100111003002212213220
5121341040433021300
62215254001424440
7144032650666245
oct20250302464750
93867325203566
101122111220200
113a2980591aa3
1216158093b120
1381a7899bb19
143c44bd1a5cc
151e2c6c4d8a0
hex105430a69e8

1122111220200 has 48 divisors (see below), whose sum is σ = 3478544784480. Its totient is φ = 299229658560.

The previous prime is 1122111220169. The next prime is 1122111220201. The reversal of 1122111220200 is 20221112211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1122111220200.

It is not an unprimeable number, because it can be changed into a prime (1122111220201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 935092084 + ... + 935093283.

It is an arithmetic number, because the mean of its divisors is an integer number (72469683010).

Almost surely, 21122111220200 is an apocalyptic number.

1122111220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122111220200 is an abundant number, since it is smaller than the sum of its proper divisors (2356433564280).

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

1122111220200 is a wasteful number, since it uses less digits than its factorization.

1122111220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870185386 (or 1870185377 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1122111220200 its reverse (20221112211), we get a palindrome (1142332332411).

The spelling of 1122111220200 in words is "one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1870185367 3740370734 5610556101 7480741468 9350926835 11221112202 14961482936 18701853670 22442224404 28052780505 37403707340 44884448808 46754634175 56105561010 74807414680 93509268350 112211122020 140263902525 187018536700 224422244040 280527805050 374037073400 561055610100 1122111220200