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1130102100 = 2232523733937
BaseRepresentation
bin100001101011011…
…1111110101010100
32220202111010122100
41003112333311110
54303301231400
6304050002100
740001465211
oct10326776524
92822433570
101130102100
1152aa05486
12276576330
1315019028a
14aa136b08
1569330100
hex435bfd54

1130102100 has 108 divisors (see below), whose sum is σ = 3638085724. Its totient is φ = 293207040.

The previous prime is 1130102069. The next prime is 1130102119. The reversal of 1130102100 is 12010311.

It can be written as a sum of positive squares in 6 ways, for example, as 195944004 + 934158096 = 13998^2 + 30564^2 .

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16332 + ... + 50268.

Almost surely, 21130102100 is an apocalyptic number.

1130102100 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 1130102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819042862).

1130102100 is an abundant number, since it is smaller than the sum of its proper divisors (2507983624).

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

1130102100 is a wasteful number, since it uses less digits than its factorization.

1130102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33994 (or 33984 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1130102100 is about 33616.9912395503. The cubic root of 1130102100 is about 1041.6118066753.

Adding to 1130102100 its reverse (12010311), we get a palindrome (1142112411).

The spelling of 1130102100 in words is "one billion, one hundred thirty million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 33937 67874 101811 135748 169685 203622 305433 339370 407244 509055 610866 678740 848425 1018110 1221732 1255669 1527165 1696850 2036220 2511338 2545275 3054330 3393700 3767007 5022676 5090550 6108660 6278345 7534014 7635825 10181100 11301021 12556690 15068028 15271650 18835035 22602042 25113380 30543300 31391725 37670070 45204084 56505105 62783450 75340140 94175175 113010210 125566900 188350350 226020420 282525525 376700700 565051050 1130102100