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3113003100 = 22352113229401
BaseRepresentation
bin1011100110001100…
…1010100001011100
322000221122221110010
42321203022201130
522333412044400
61232522243220
7140100042534
oct27143124134
98027587403
103113003100
111358233339
1272a656510
133a7c2b78c
142176204c4
15133466450
hexb98ca85c

3113003100 has 144 divisors (see below), whose sum is σ = 9149101920. Its totient is φ = 817152000.

The previous prime is 3113003099. The next prime is 3113003129. The reversal of 3113003100 is 13003113.

It is a super-2 number, since 2×31130031002 = 19381576601219220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7762900 + ... + 7763300.

It is an arithmetic number, because the mean of its divisors is an integer number (63535430).

Almost surely, 23113003100 is an apocalyptic number.

3113003100 is a gapful number since it is divisible by the number (30) 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 3113003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574550960).

3113003100 is an abundant number, since it is smaller than the sum of its proper divisors (6036098820).

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

3113003100 is a wasteful number, since it uses less digits than its factorization.

3113003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 3113003100 is about 55794.2927188794. The cubic root of 3113003100 is about 1460.1355819544.

Adding to 3113003100 its reverse (13003113), we get a palindrome (3126006213).

The spelling of 3113003100 in words is "three billion, one hundred thirteen million, three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 229 300 339 401 452 458 565 678 687 802 916 1130 1145 1203 1356 1374 1604 1695 2005 2260 2290 2406 2748 2825 3390 3435 4010 4580 4812 5650 5725 6015 6780 6870 8020 8475 10025 11300 11450 12030 13740 16950 17175 20050 22900 24060 25877 30075 33900 34350 40100 45313 51754 60150 68700 77631 90626 91829 103508 120300 129385 135939 155262 181252 183658 226565 258770 271878 275487 310524 367316 388155 453130 459145 517540 543756 550974 646925 679695 776310 906260 918290 1101948 1132825 1293850 1359390 1377435 1552620 1836580 1940775 2265650 2295725 2587700 2718780 2754870 3398475 3881550 4531300 4591450 5509740 6796950 6887175 7763100 9182900 10376677 13593900 13774350 20753354 27548700 31130031 41506708 51883385 62260062 103766770 124520124 155650155 207533540 259416925 311300310 518833850 622600620 778250775 1037667700 1556501550 3113003100