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1103162311100 = 2252103149718813
BaseRepresentation
bin10000000011011001100…
…110010000000110111100
310220110110021111211001002
4100003121212100012330
5121033234022423400
62202441420505432
7142462250633303
oct20033146200674
93813407454032
101103162311100
11395937402143
121599729ab278
1380048cac185
143b57148143a
151da68406ed5
hex100d99901bc

1103162311100 has 72 divisors (see below), whose sum is σ = 2433329152800. Its totient is φ = 434047438080.

The previous prime is 1103162311099. The next prime is 1103162311109. The reversal of 1103162311100 is 11132613011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1103162311109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1175294 + ... + 1894106.

Almost surely, 21103162311100 is an apocalyptic number.

1103162311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103162311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216664576400).

1103162311100 is an abundant number, since it is smaller than the sum of its proper divisors (1330166841700).

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

1103162311100 is a wasteful number, since it uses less digits than its factorization.

1103162311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719079 (or 719072 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 1103162311100 its reverse (11132613011), we get a palindrome (1114294924111).

The spelling of 1103162311100 in words is "one trillion, one hundred three billion, one hundred sixty-two million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 149 206 298 412 515 596 745 1030 1490 2060 2575 2980 3725 5150 7450 10300 14900 15347 30694 61388 76735 153470 306940 383675 718813 767350 1437626 1534700 2875252 3594065 7188130 14376260 17970325 35940650 71881300 74037739 107103137 148075478 214206274 296150956 370188695 428412548 535515685 740377390 1071031370 1480754780 1850943475 2142062740 2677578425 3701886950 5355156850 7403773900 10710313700 11031623111 22063246222 44126492444 55158115555 110316231110 220632462220 275790577775 551581155550 1103162311100