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1130030100 = 2232521637703
BaseRepresentation
bin100001101011010…
…1110010000010100
32220202100110212200
41003112232100110
54303241430400
6304044244500
740001045253
oct10326562024
92822313780
101130030100
1152a966381
12276540730
13150166584
14aa11879a
1569318b00
hex435ae414

1130030100 has 108 divisors (see below), whose sum is σ = 3564209376. Its totient is φ = 299453760.

The previous prime is 1130030081. The next prime is 1130030131. The reversal of 1130030100 is 10300311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 142849 + ... + 150551.

Almost surely, 21130030100 is an apocalyptic number.

1130030100 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 1130030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782104688).

1130030100 is an abundant number, since it is smaller than the sum of its proper divisors (2434179276).

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

1130030100 is a wasteful number, since it uses less digits than its factorization.

1130030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7886 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1130030100 is about 33615.9203354601. The cubic root of 1130030100 is about 1041.5896854755.

Adding to 1130030100 its reverse (10300311), we get a palindrome (1140330411).

The spelling of 1130030100 in words is "one billion, one hundred thirty million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 163 180 225 300 326 450 489 652 815 900 978 1467 1630 1956 2445 2934 3260 4075 4890 5868 7335 7703 8150 9780 12225 14670 15406 16300 23109 24450 29340 30812 36675 38515 46218 48900 69327 73350 77030 92436 115545 138654 146700 154060 192575 231090 277308 346635 385150 462180 577725 693270 770300 1155450 1255589 1386540 1733175 2310900 2511178 3466350 3766767 5022356 6277945 6932700 7533534 11300301 12555890 15067068 18833835 22600602 25111780 31389725 37667670 45201204 56501505 62779450 75335340 94169175 113003010 125558900 188338350 226006020 282507525 376676700 565015050 1130030100