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11032313100 = 2235279746141
BaseRepresentation
bin10100100011001001…
…11011110100001100
31001110212020120110220
422101210323310030
5140043233004400
65022420431340
7540251054064
oct122144736414
931425216426
1011032313100
1147514a9136
12217a848550
13106a82c423
147692c23a4
154488237a0
hex29193bd0c

11032313100 has 72 divisors (see below), whose sum is σ = 31960902288. Its totient is φ = 2938195200.

The previous prime is 11032313099. The next prime is 11032313111. The reversal of 11032313100 is 131323011.

It is a super-2 number, since 2×110323131002 (a number of 21 digits) contains 22 as substring.

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 11032313100.

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, 216030 + ... + 262170.

Almost surely, 211032313100 is an apocalyptic number.

11032313100 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 11032313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980451144).

11032313100 is an abundant number, since it is smaller than the sum of its proper divisors (20928589188).

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

11032313100 is a wasteful number, since it uses less digits than its factorization.

11032313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46955 (or 46948 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 11032313100 its reverse (131323011), we get a palindrome (11163636111).

The spelling of 11032313100 in words is "eleven billion, thirty-two million, three hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 797 1594 2391 3188 3985 4782 7970 9564 11955 15940 19925 23910 39850 46141 47820 59775 79700 92282 119550 138423 184564 230705 239100 276846 461410 553692 692115 922820 1153525 1384230 2307050 2768460 3460575 4614100 6921150 13842300 36774377 73548754 110323131 147097508 183871885 220646262 367743770 441292524 551615655 735487540 919359425 1103231310 1838718850 2206462620 2758078275 3677437700 5516156550 11032313100