Search a number
-
+
10101111103050 = 23521121972825051
BaseRepresentation
bin1001001011111101100100…
…1000111001111001001010
31022202122201210121110220220
42102333121020321321022
52310444033420244200
633252215242530510
72061531643501302
oct222773110717112
938678653543826
1010101111103050
113244947978300
1211717b5806a36
135836b8c05596
1426cc7997c602
15127b469a84a0
hex92fd9239e4a

10101111103050 has 144 divisors (see below), whose sum is σ = 27674910004896. Its totient is φ = 2436323120000.

The previous prime is 10101111103001. The next prime is 10101111103051. The reversal of 10101111103050 is 5030111110101.

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

It is not an unprimeable number, because it can be changed into a prime (10101111103051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2163025 + ... + 4988075.

It is an arithmetic number, because the mean of its divisors is an integer number (192186875034).

Almost surely, 210101111103050 is an apocalyptic number.

10101111103050 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 10101111103050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13837455002448).

10101111103050 is an abundant number, since it is smaller than the sum of its proper divisors (17573798901846).

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

10101111103050 is a wasteful number, since it uses less digits than its factorization.

10101111103050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825285 (or 2825269 counting only the distinct ones).

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

Adding to 10101111103050 its reverse (5030111110101), we get a palindrome (15131222213151).

The spelling of 10101111103050 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred three thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 197 242 275 330 363 394 550 591 605 726 825 985 1182 1210 1650 1815 1970 2167 2955 3025 3630 4334 4925 5910 6050 6501 9075 9850 10835 13002 14775 18150 21670 23837 29550 32505 47674 54175 65010 71511 108350 119185 143022 162525 238370 325050 357555 595925 715110 1191850 1787775 2825051 3575550 5650102 8475153 14125255 16950306 28250510 31075561 42375765 62151122 70626275 84751530 93226683 141252550 155377805 186453366 211878825 310755610 341831171 423757650 466133415 556535047 683662342 776889025 932266830 1025493513 1113070094 1553778050 1669605141 1709155855 2050987026 2330667075 2782675235 3339210282 3418311710 4661334150 5127467565 5565350470 6121885517 8348025705 8545779275 10254935130 12243771034 13913376175 16696051410 17091558550 18365656551 25637337825 27826752350 30609427585 36731313102 41740128525 51274675650 61218855170 67340740687 83480257050 91828282755 134681481374 153047137925 183656565510 202022222061 306094275850 336703703435 404044444122 459141413775 673407406870 918282827550 1010111110305 1683518517175 2020222220610 3367037034350 5050555551525 10101111103050