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11122020100 = 2252674213943
BaseRepresentation
bin10100101101110110…
…01000111100000100
31001201010001011100101
422112323020330010
5140234214120400
65035343253444
7542420416402
oct122673107404
931633034311
1011122020100
1147980aa354
1221a48aa284
1310832aaba9
14777194472
1545164356a
hex296ec8f04

11122020100 has 72 divisors (see below), whose sum is σ = 24559414208. Its totient is φ = 4370889600.

The previous prime is 11122020089. The next prime is 11122020113. The reversal of 11122020100 is 102022111.

It is a super-2 number, since 2×111220201002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 2818729 + ... + 2822671.

Almost surely, 211122020100 is an apocalyptic number.

11122020100 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 11122020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12279707104).

11122020100 is an abundant number, since it is smaller than the sum of its proper divisors (13437394108).

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

11122020100 is a wasteful number, since it uses less digits than its factorization.

11122020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4445 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11122020100 its reverse (102022111), we get a palindrome (11224042211).

The spelling of 11122020100 in words is "eleven billion, one hundred twenty-two million, twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 421 670 842 1340 1675 1684 2105 3350 3943 4210 6700 7886 8420 10525 15772 19715 21050 28207 39430 42100 56414 78860 98575 112828 141035 197150 264181 282070 394300 528362 564140 705175 1056724 1320905 1410350 1660003 2641810 2820700 3320006 5283620 6604525 6640012 8300015 13209050 16600030 26418100 33200060 41500075 83000150 111220201 166000300 222440402 444880804 556101005 1112202010 2224404020 2780505025 5561010050 11122020100