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3141131100 = 22352131257311
BaseRepresentation
bin1011101100111001…
…1101101101011100
322002220120222210220
42323032131231130
522413112143400
61235405201340
7140561113422
oct27316355534
98086528726
103141131100
1113720a5318
12737b60250
133b09c9673
1421b263112
15135b707a0
hexbb39db5c

3141131100 has 144 divisors (see below), whose sum is σ = 9222909696. Its totient is φ = 825344000.

The previous prime is 3141131083. The next prime is 3141131101. The reversal of 3141131100 is 11311413.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3141131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3141131101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10099945 + ... + 10100255.

It is an arithmetic number, because the mean of its divisors is an integer number (64047984).

Almost surely, 23141131100 is an apocalyptic number.

3141131100 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 3141131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4611454848).

3141131100 is an abundant number, since it is smaller than the sum of its proper divisors (6081778596).

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

3141131100 is a wasteful number, since it uses less digits than its factorization.

3141131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 3141131100 is about 56045.7946682889. The cubic root of 3141131100 is about 1464.5201595321.

Adding to 3141131100 its reverse (11311413), we get a palindrome (3152442513).

The spelling of 3141131100 in words is "three billion, one hundred forty-one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 257 262 300 311 393 514 524 622 655 771 786 933 1028 1244 1285 1310 1542 1555 1572 1866 1965 2570 2620 3084 3110 3275 3732 3855 3930 4665 5140 6220 6425 6550 7710 7775 7860 9330 9825 12850 13100 15420 15550 18660 19275 19650 23325 25700 31100 33667 38550 39300 40741 46650 67334 77100 79927 81482 93300 101001 122223 134668 159854 162964 168335 202002 203705 239781 244446 319708 336670 399635 404004 407410 479562 488892 505005 611115 673340 799270 814820 841675 959124 1010010 1018525 1198905 1222230 1598540 1683350 1998175 2020020 2037050 2397810 2444460 2525025 3055575 3366700 3996350 4074100 4795620 5050050 5994525 6111150 7992700 10100100 10470437 11989050 12222300 20940874 23978100 31411311 41881748 52352185 62822622 104704370 125645244 157056555 209408740 261760925 314113110 523521850 628226220 785282775 1047043700 1570565550 3141131100