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1113120100 = 2252311312741
BaseRepresentation
bin100001001011000…
…1101110101100100
32212120112100201101
41002112031311210
54234424320400
6302242005444
736404236051
oct10226156544
92776470641
101113120100
11521366674
12270946884
131497c5761
14a7b96028
1567ac856a
hex4258dd64

1113120100 has 72 divisors (see below), whose sum is σ = 2513339136. Its totient is φ = 427440000.

The previous prime is 1113120053. The next prime is 1113120103. The reversal of 1113120100 is 10213111.

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

It is not an unprimeable number, because it can be changed into a prime (1113120103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404730 + ... + 407470.

It is an arithmetic number, because the mean of its divisors is an integer number (34907488).

Almost surely, 21113120100 is an apocalyptic number.

1113120100 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 1113120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256669568).

1113120100 is an abundant number, since it is smaller than the sum of its proper divisors (1400219036).

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

1113120100 is a wasteful number, since it uses less digits than its factorization.

1113120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1113120100 is about 33363.4545573446. The cubic root of 1113120100 is about 1036.3680323596.

Adding to 1113120100 its reverse (10213111), we get a palindrome (1123333211).

The spelling of 1113120100 in words is "one billion, one hundred thirteen million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 131 155 262 310 524 620 655 775 1310 1550 2620 2741 3100 3275 4061 5482 6550 8122 10964 13100 13705 16244 20305 27410 40610 54820 68525 81220 84971 101525 137050 169942 203050 274100 339884 359071 406100 424855 718142 849710 1436284 1699420 1795355 2124275 3590710 4248550 7181420 8497100 8976775 11131201 17953550 22262402 35907100 44524804 55656005 111312010 222624020 278280025 556560050 1113120100