Search a number
-
+
3113321010 = 23517311911031
BaseRepresentation
bin1011100110010001…
…1000001000110010
322000222021002112120
42321210120020302
522334002233020
61232533135110
7140102535432
oct27144301062
98028232476
103113321010
111358430178
1272a78a496
133a80103a7
142176a42c2
151334ca740
hexb9918232

3113321010 has 128 divisors (see below), whose sum is σ = 8217427968. Its totient is φ = 751488000.

The previous prime is 3113320997. The next prime is 3113321087. The reversal of 3113321010 is 101233113.

3113321010 = 60102 + 60112 + ... + 60942.

It is a super-2 number, since 2×31133210102 = 19385535422614840200, which contains 22 as substring.

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

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 63 ways as a sum of consecutive naturals, for example, 3019195 + ... + 3020225.

It is an arithmetic number, because the mean of its divisors is an integer number (64198656).

Almost surely, 23113321010 is an apocalyptic number.

3113321010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3113321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108713984).

3113321010 is an abundant number, since it is smaller than the sum of its proper divisors (5104106958).

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

3113321010 is a wasteful number, since it uses less digits than its factorization.

3113321010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 3113321010 is about 55797.1415934544. The cubic root of 3113321010 is about 1460.1852848605.

Adding to 3113321010 its reverse (101233113), we get a palindrome (3214554123).

The spelling of 3113321010 in words is "three billion, one hundred thirteen million, three hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 191 255 310 382 465 510 527 573 930 955 1031 1054 1146 1581 1910 2062 2635 2865 3093 3162 3247 5155 5270 5730 5921 6186 6494 7905 9741 10310 11842 15465 15810 16235 17527 17763 19482 29605 30930 31961 32470 35054 35526 48705 52581 59210 63922 87635 88815 95883 97410 100657 105162 159805 175270 177630 191766 196921 201314 262905 301971 319610 393842 479415 503285 525810 543337 590763 603942 958830 984605 1006570 1086674 1181526 1509855 1630011 1969210 2716685 2953815 3019710 3260022 3347657 5433370 5907630 6104551 6695314 8150055 10042971 12209102 16300110 16738285 18313653 20085942 30522755 33476570 36627306 50214855 61045510 91568265 100429710 103777367 183136530 207554734 311332101 518886835 622664202 1037773670 1556660505 3113321010