Search a number
-
+
11004142320 = 2432571215261
BaseRepresentation
bin10100011111110010…
…11110001011110000
31001101220020100102200
422033321132023300
5140014030023240
65015532543200
7536456444403
oct121771361360
931356210380
1011004142320
114737607aa6
122171321b00
131064a47c22
1476566bd3a
1544610b930
hex28fe5e2f0

11004142320 has 120 divisors (see below), whose sum is σ = 37476253152. Its totient is φ = 2893094400.

The previous prime is 11004142319. The next prime is 11004142337. The reversal of 11004142320 is 2324140011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×110041423202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11004142293 and 11004142302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56511 + ... + 158750.

Almost surely, 211004142320 is an apocalyptic number.

11004142320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11004142320 is an abundant number, since it is smaller than the sum of its proper divisors (26472110832).

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

11004142320 is a wasteful number, since it uses less digits than its factorization.

11004142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215351 (or 215342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 11004142320 its reverse (2324140011), we get a palindrome (13328282331).

The spelling of 11004142320 in words is "eleven billion, four million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 71 72 80 90 120 142 144 180 213 240 284 355 360 426 568 639 710 720 852 1065 1136 1278 1420 1704 2130 2556 2840 3195 3408 4260 5112 5680 6390 8520 10224 12780 17040 25560 51120 215261 430522 645783 861044 1076305 1291566 1722088 1937349 2152610 2583132 3228915 3444176 3874698 4305220 5166264 6457830 7749396 8610440 9686745 10332528 12915660 15283531 15498792 17220880 19373490 25831320 30567062 30997584 38746980 45850593 51662640 61134124 76417655 77493960 91701186 122268248 137551779 152835310 154987920 183402372 229252965 244536496 275103558 305670620 366804744 458505930 550207116 611341240 687758895 733609488 917011860 1100414232 1222682480 1375517790 1834023720 2200828464 2751035580 3668047440 5502071160 11004142320