Search a number
-
+
1100322101120 = 27511156295753
BaseRepresentation
bin10000000000110000010…
…011101101011110000000
310220012010100011012101212
4100000300103231132000
5121011424424213440
62201251521145252
7142332002353604
oct20006023553600
93805110135355
101100322101120
1139470a160370
121592bb78b228
137c9b5743958
143b382191504
151d94ddc8465
hex100304ed780

1100322101120 has 64 divisors (see below), whose sum is σ = 2869590043440. Its totient is φ = 400117125120.

The previous prime is 1100322101117. The next prime is 1100322101147. The reversal of 1100322101120 is 211012230011.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1100322101095 and 1100322101104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78140837 + ... + 78154916.

Almost surely, 21100322101120 is an apocalyptic number.

1100322101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100322101120 is an abundant number, since it is smaller than the sum of its proper divisors (1769267942320).

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

1100322101120 is a wasteful number, since it uses less digits than its factorization.

1100322101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156295783 (or 156295771 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1100322101120 its reverse (211012230011), we get a palindrome (1311334331131).

The spelling of 1100322101120 in words is "one trillion, one hundred billion, three hundred twenty-two million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 156295753 312591506 625183012 781478765 1250366024 1562957530 1719253283 2500732048 3125915060 3438506566 5001464096 6251830120 6877013132 8596266415 10002928192 12503660240 13754026264 17192532830 20005856384 25007320480 27508052528 34385065660 50014640960 55016105056 68770131320 100029281920 110032210112 137540262640 220064420224 275080525280 550161050560 1100322101120