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1121122100 = 225276612423
BaseRepresentation
bin100001011010010…
…1111011100110100
32220010120220101202
41002310233130310
54244001401400
6303125312032
736532244360
oct10264573464
92803526352
101121122100
1152593169a
12273565618
1314b367a77
14a8c7a2a0
15686594d5
hex42d2f734

1121122100 has 72 divisors (see below), whose sum is σ = 2785738368. Its totient is φ = 383644800.

The previous prime is 1121122073. The next prime is 1121122117. The reversal of 1121122100 is 12211211.

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, 461489 + ... + 463911.

Almost surely, 21121122100 is an apocalyptic number.

1121122100 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 1121122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392869184).

1121122100 is an abundant number, since it is smaller than the sum of its proper divisors (1664616268).

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

1121122100 is a wasteful number, since it uses less digits than its factorization.

1121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3098 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1121122100 is about 33483.1614397446. The cubic root of 1121122100 is about 1038.8455199480.

Adding to 1121122100 its reverse (12211211), we get a palindrome (1133333311).

The spelling of 1121122100 in words is "one billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 661 700 1322 2423 2644 3305 4627 4846 6610 9254 9692 12115 13220 16525 16961 18508 23135 24230 33050 33922 46270 48460 60575 66100 67844 84805 92540 115675 121150 169610 231350 242300 339220 424025 462700 848050 1601603 1696100 3203206 6406412 8008015 11211221 16016030 22422442 32032060 40040075 44844884 56056105 80080150 112112210 160160300 224224420 280280525 560561050 1121122100