Search a number
-
+
101110320010 = 25719234317669
BaseRepresentation
bin101111000101010100…
…1010000101110001010
3100122222112220102222001
41132022221100232022
53124033220220020
6114241025021214
710206415353040
oct1361251205612
9318875812861
10101110320010
1139976159a47
121771978480a
1396c486482b
144c726c8390
15296b95d50a
hex178aa50b8a

101110320010 has 128 divisors (see below), whose sum is σ = 229024972800. Its totient is φ = 31336968960.

The previous prime is 101110319993. The next prime is 101110320137. The reversal of 101110320010 is 10023011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13180456 + ... + 13188124.

It is an arithmetic number, because the mean of its divisors is an integer number (1789257600).

Almost surely, 2101110320010 is an apocalyptic number.

101110320010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101110320010 is an abundant number, since it is smaller than the sum of its proper divisors (127914652790).

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

101110320010 is a wasteful number, since it uses less digits than its factorization.

101110320010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8156.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 101110320010 its reverse (10023011101), we get a palindrome (111133331111).

The spelling of 101110320010 in words is "one hundred one billion, one hundred ten million, three hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 14 19 23 35 38 46 70 95 115 133 161 190 230 266 322 431 437 665 805 862 874 1330 1610 2155 2185 3017 3059 4310 4370 6034 6118 7669 8189 9913 15085 15295 15338 16378 19826 30170 30590 38345 40945 49565 53683 57323 69391 76690 81890 99130 107366 114646 138782 145711 176387 188347 268415 286615 291422 346955 352774 376694 536830 573230 693910 728555 881935 941735 1019977 1234709 1318429 1457110 1763870 1883470 2039954 2469418 2636858 3305339 3351353 5099885 6173545 6592145 6610678 6702706 10199770 12347090 13184290 16526695 16756765 23137373 23459471 33053390 33513530 46274746 46918942 62801441 76022797 115686865 117297355 125602882 152045594 231373730 234594710 314007205 380113985 439610087 532159579 628014410 760227970 879220174 1064319158 1444433143 2198050435 2660797895 2888866286 4396100870 5321595790 7222165715 10111032001 14444331430 20222064002 50555160005 101110320010