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3121103100 = 22352175631087
BaseRepresentation
bin1011101000001000…
…0100000011111100
322001111220110120010
42322002010003330
522343000244400
61233412023220
7140225636643
oct27202040374
98044813503
103121103100
111361865a55
12731301b10
133a980658b
1421872c35a
15134016450
hexba0840fc

3121103100 has 144 divisors (see below), whose sum is σ = 9587386368. Its totient is φ = 781224960.

The previous prime is 3121103087. The next prime is 3121103113. The reversal of 3121103100 is 13011213.

It is an interprime number because it is at equal distance from previous prime (3121103087) and next prime (3121103113).

It is a super-2 number, since 2×31211031002 = 19482569121659220000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2870757 + ... + 2871843.

It is an arithmetic number, because the mean of its divisors is an integer number (66579072).

Almost surely, 23121103100 is an apocalyptic number.

3121103100 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 3121103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793693184).

3121103100 is an abundant number, since it is smaller than the sum of its proper divisors (6466283268).

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

3121103100 is a wasteful number, since it uses less digits than its factorization.

3121103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 3121103100 is about 55866.8336314132. The cubic root of 3121103100 is about 1461.4009040720.

Adding to 3121103100 its reverse (13011213), we get a palindrome (3134114313).

The spelling of 3121103100 in words is "three billion, one hundred twenty-one million, one hundred three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 563 850 1020 1087 1126 1275 1689 1700 2174 2252 2550 2815 3261 3378 4348 5100 5435 5630 6522 6756 8445 9571 10870 11260 13044 14075 16305 16890 18479 19142 21740 27175 28150 28713 32610 33780 36958 38284 42225 47855 54350 55437 56300 57426 65220 73916 81525 84450 92395 95710 108700 110874 114852 143565 163050 168900 184790 191420 221748 239275 277185 287130 326100 369580 461975 478550 554370 574260 611981 717825 923950 957100 1108740 1223962 1385925 1435650 1835943 1847900 2447924 2771850 2871300 3059905 3671886 5543700 6119810 7343772 9179715 10403677 12239620 15299525 18359430 20807354 30599050 31211031 36718860 41614708 45898575 52018385 61198100 62422062 91797150 104036770 124844124 156055155 183594300 208073540 260091925 312110310 520183850 624220620 780275775 1040367700 1560551550 3121103100