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11132231100 = 22352199771999
BaseRepresentation
bin10100101111000100…
…00101110110111100
31001201211020221012120
422113202011312330
5140244322343400
65040350202540
7542603255154
oct122742056674
931654227176
1011132231100
1147a2943aa1
1221a81b3450
1310854447c3
14778691764
154524adca0
hex297885dbc

11132231100 has 144 divisors (see below), whose sum is σ = 33956160000. Its totient is φ = 2808069120.

The previous prime is 11132231087. The next prime is 11132231113. The reversal of 11132231100 is 113223111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11132231087) and next prime (11132231113).

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 11132231100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5567901 + ... + 5569899.

Almost surely, 211132231100 is an apocalyptic number.

11132231100 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 11132231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16978080000).

11132231100 is an abundant number, since it is smaller than the sum of its proper divisors (22823928900).

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

11132231100 is a wasteful number, since it uses less digits than its factorization.

11132231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11132231100 its reverse (113223111), we get a palindrome (11245454211).

The spelling of 11132231100 in words is "eleven billion, one hundred thirty-two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 977 1140 1425 1900 1954 1999 2850 2931 3908 3998 4885 5700 5862 5997 7996 9770 9995 11724 11994 14655 18563 19540 19990 23988 24425 29310 29985 37126 37981 39980 48850 49975 55689 58620 59970 73275 74252 75962 92815 97700 99950 111378 113943 119940 146550 149925 151924 185630 189905 199900 222756 227886 278445 293100 299850 371260 379810 455772 464075 556890 569715 599700 759620 928150 949525 1113780 1139430 1392225 1856300 1899050 1953023 2278860 2784450 2848575 3798100 3906046 5568900 5697150 5859069 7812092 9765115 11394300 11718138 19530230 23436276 29295345 37107437 39060460 48825575 58590690 74214874 97651150 111322311 117181380 146476725 148429748 185537185 195302300 222644622 292953450 371074370 445289244 556611555 585906900 742148740 927685925 1113223110 1855371850 2226446220 2783057775 3710743700 5566115550 11132231100