Search a number
-
+
3112203120 = 2435134991999
BaseRepresentation
bin1011100110000000…
…0111001101110000
322000220011022002020
42321200013031300
522333210444440
61232453151440
7140060201325
oct27140071560
98026138066
103112203120
1113578372a4
1272a32b580
133a7a0b610
14217492b4c
151333593d0
hexb9807370

3112203120 has 160 divisors (see below), whose sum is σ = 10416000000. Its totient is φ = 764163072.

The previous prime is 3112203079. The next prime is 3112203151. The reversal of 3112203120 is 213022113.

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 3112203120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555881 + ... + 1557879.

It is an arithmetic number, because the mean of its divisors is an integer number (65100000).

Almost surely, 23112203120 is an apocalyptic number.

3112203120 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 3112203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208000000).

3112203120 is an abundant number, since it is smaller than the sum of its proper divisors (7303796880).

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

3112203120 is a wasteful number, since it uses less digits than its factorization.

3112203120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2527 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3112203120 is about 55787.1232454229. The cubic root of 3112203120 is about 1460.0104959526.

Adding to 3112203120 its reverse (213022113), we get a palindrome (3325225233).

The spelling of 3112203120 in words is "three billion, one hundred twelve million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 499 520 624 780 998 1040 1497 1560 1996 1999 2495 2994 3120 3992 3998 4990 5988 5997 6487 7485 7984 7996 9980 9995 11976 11994 12974 14970 15992 19461 19960 19990 23952 23988 25948 25987 29940 29985 31984 32435 38922 39920 39980 47976 51896 51974 59880 59970 64870 77844 77961 79960 95952 97305 103792 103948 119760 119940 129740 129935 155688 155922 159920 194610 207896 239880 259480 259870 311376 311844 389220 389805 415792 479760 518960 519740 623688 778440 779610 997501 1039480 1247376 1556880 1559220 1995002 2078960 2992503 3118440 3990004 4987505 5985006 6236880 7980008 9975010 11970012 12967513 14962515 15960016 19950020 23940024 25935026 29925030 38902539 39900040 47880048 51870052 59850060 64837565 77805078 79800080 103740104 119700120 129675130 155610156 194512695 207480208 239400240 259350260 311220312 389025390 518700520 622440624 778050780 1037401040 1556101560 3112203120