Search a number
-
+
11342204010 = 2345131139769
BaseRepresentation
bin10101001000000110…
…00100110001101010
31002021110100122220000
422210003010301222
5141212101012020
65113250443430
7551033100114
oct124403046152
932243318800
1011342204010
1148a0418825
122246593576
1310b9ab1227
1479850c3b4
15465b38090
hex2a40c4c6a

11342204010 has 160 divisors (see below), whose sum is σ = 30992068800. Its totient is φ = 2976030720.

The previous prime is 11342203993. The next prime is 11342204023. The reversal of 11342204010 is 1040224311.

11342204010 is a `hidden beast` number, since 11 + 34 + 220 + 401 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 14748906 + ... + 14749674.

It is an arithmetic number, because the mean of its divisors is an integer number (193700430).

Almost surely, 211342204010 is an apocalyptic number.

11342204010 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 11342204010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496034400).

11342204010 is an abundant number, since it is smaller than the sum of its proper divisors (19649864790).

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

11342204010 is a wasteful number, since it uses less digits than its factorization.

11342204010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

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

Adding to 11342204010 its reverse (1040224311), we get a palindrome (12382428321).

The spelling of 11342204010 in words is "eleven billion, three hundred forty-two million, two hundred four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 139 162 262 270 278 393 405 417 655 695 769 786 810 834 1179 1251 1310 1390 1538 1965 2085 2307 2358 2502 3537 3753 3845 3930 4170 4614 5895 6255 6921 7074 7506 7690 10611 11259 11535 11790 12510 13842 17685 18209 18765 20763 21222 22518 23070 34605 35370 36418 37530 41526 53055 54627 56295 62289 69210 91045 100739 103815 106110 106891 109254 112590 124578 163881 182090 201478 207630 213782 273135 302217 311445 320673 327762 491643 503695 534455 546270 604434 622890 641346 819405 906651 962019 983286 1007390 1068910 1474929 1511085 1603365 1638810 1813302 1924038 2458215 2719953 2886057 2949858 3022170 3206730 4533255 4810095 4916430 5439906 5772114 7374645 8159859 8658171 9066510 9620190 13599765 14002721 14430285 14749290 16319718 17316342 27199530 28005442 28860570 40799295 42008163 43290855 70013605 81598590 84016326 86581710 126024489 140027210 210040815 252048978 378073467 420081630 630122445 756146934 1134220401 1260244890 1890367335 2268440802 3780734670 5671102005 11342204010