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11132211100 = 2252347541593
BaseRepresentation
bin10100101111000100…
…00000111110011100
31001201211012220202211
422113202000332130
5140244321223400
65040345530204
7542603142643
oct122742007634
931654186684
1011132211100
1147a292aa6a
1221a81a3964
13108543867a
1477868835a
154524a7dba
hex297880f9c

11132211100 has 72 divisors (see below), whose sum is σ = 24312225168. Its totient is φ = 4424371200.

The previous prime is 11132211089. The next prime is 11132211113. The reversal of 11132211100 is 111223111.

It is a happy number.

It is a super-2 number, since 2×111322111002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18772404 + ... + 18772996.

It is an arithmetic number, because the mean of its divisors is an integer number (337669794).

Almost surely, 211132211100 is an apocalyptic number.

11132211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132211100 is an abundant number, since it is smaller than the sum of its proper divisors (13180014068).

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

11132211100 is a wasteful number, since it uses less digits than its factorization.

11132211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 11132211100 its reverse (111223111), we get a palindrome (11243434211).

The spelling of 11132211100 in words is "eleven billion, one hundred thirty-two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 347 541 593 694 1082 1186 1388 1735 2164 2372 2705 2965 3470 5410 5930 6940 8675 10820 11860 13525 14825 17350 27050 29650 34700 54100 59300 187727 205771 320813 375454 411542 641626 750908 823084 938635 1028855 1283252 1604065 1877270 2057710 3208130 3754540 4115420 4693175 5144275 6416260 8020325 9386350 10288550 16040650 18772700 20577100 32081300 111322111 222644222 445288444 556610555 1113221110 2226442220 2783052775 5566105550 11132211100