Search a number
-
+
10550110050 = 23252195712161
BaseRepresentation
bin10011101001101010…
…11110011101100010
31000020020220010020200
421310311132131202
5133101312010200
64502513250030
7522304312224
oct116465363542
930206803220
1010550110050
114524297917
122065263916
13cc1968a8c
14721240414
1541b323800
hex274d5e762

10550110050 has 144 divisors (see below), whose sum is σ = 29902535520. Its totient is φ = 2659392000.

The previous prime is 10550110027. The next prime is 10550110057. The reversal of 10550110050 is 5001105501.

10550110050 is a `hidden beast` number, since 1 + 0 + 550 + 110 + 0 + 5 + 0 = 666.

It is a super-2 number, since 2×105501100502 (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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10550110057) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 4880970 + ... + 4883130.

Almost surely, 210550110050 is an apocalyptic number.

10550110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10550110050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951267760).

10550110050 is an abundant number, since it is smaller than the sum of its proper divisors (19352425470).

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

10550110050 is a wasteful number, since it uses less digits than its factorization.

10550110050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 10550110050 its reverse (5001105501), we get a palindrome (15551215551).

The spelling of 10550110050 in words is "ten billion, five hundred fifty million, one hundred ten thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 571 855 950 1142 1425 1710 1713 2161 2850 2855 3426 4275 4322 5139 5710 6483 8550 8565 10278 10805 10849 12966 14275 17130 19449 21610 21698 25695 28550 32415 32547 38898 41059 42825 51390 54025 54245 64830 65094 82118 85650 97245 97641 108050 108490 123177 128475 162075 162735 194490 195282 205295 246354 256950 271225 324150 325470 369531 410590 486225 488205 542450 615885 739062 813675 972450 976410 1026475 1231770 1233931 1627350 1847655 2052950 2441025 2467862 3079425 3695310 3701793 4882050 6158850 6169655 7403586 9238275 11105379 12339310 18476550 18508965 22210758 23444689 30848275 37017930 46889378 55526895 61696550 70334067 92544825 111053790 117223445 140668134 185089650 211002201 234446890 277634475 351670335 422004402 555268950 586117225 703340670 1055011005 1172234450 1758351675 2110022010 3516703350 5275055025 10550110050