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1121040100 = 225243534919
BaseRepresentation
bin100001011010001…
…1011011011100100
32220010102201220201
41002310123123210
54243441240400
6303123440244
736531453325
oct10264333344
92803381821
101121040100
11525886024
12273526084
1314b33964b
14a8c5844c
156864006a
hex42d1b6e4

1121040100 has 72 divisors (see below), whose sum is σ = 2536712640. Its totient is φ = 429636480.

The previous prime is 1121040059. The next prime is 1121040121. The reversal of 1121040100 is 10401211.

It is a super-3 number, since 3×11210401003 (a number of 28 digits) contains 333 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, 225441 + ... + 230359.

It is an arithmetic number, because the mean of its divisors is an integer number (35232120).

Almost surely, 21121040100 is an apocalyptic number.

1121040100 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 1121040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268356320).

1121040100 is an abundant number, since it is smaller than the sum of its proper divisors (1415672540).

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

1121040100 is a wasteful number, since it uses less digits than its factorization.

1121040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5022 counting only the distinct ones).

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

The square root of 1121040100 is about 33481.9369212714. The cubic root of 1121040100 is about 1038.8201919278.

Adding to 1121040100 its reverse (10401211), we get a palindrome (1131441311).

The spelling of 1121040100 in words is "one billion, one hundred twenty-one million, forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 43 50 53 86 100 106 172 212 215 265 430 530 860 1060 1075 1325 2150 2279 2650 4300 4558 4919 5300 9116 9838 11395 19676 22790 24595 45580 49190 56975 98380 113950 122975 211517 227900 245950 260707 423034 491900 521414 846068 1042828 1057585 1303535 2115170 2607070 4230340 5214140 5287925 6517675 10575850 11210401 13035350 21151700 22420802 26070700 44841604 56052005 112104010 224208020 280260025 560520050 1121040100