Search a number
-
+
101330300122010 = 251734945717892089
BaseRepresentation
bin10111000010100011001100…
…100010110011001110011010
3111021210002012211200122212222
4113002203030202303032122
5101240143423312401020
6555302255223104042
730225605204461031
oct2702431442631632
9437702184618788
10101330300122010
112a317a3681a513
12b4465a85a2022
13447053884695b
141b045ac60b718
15baac78853b25
hex5c28cc8b339a

101330300122010 has 128 divisors (see below), whose sum is σ = 194302258920000. Its totient is φ = 37915961131008.

The previous prime is 101330300121997. The next prime is 101330300122033. The reversal of 101330300122010 is 10221003033101.

It can be written as a sum of positive squares in 32 ways, for example, as 61580541044929 + 39749759077081 = 7847327^2 + 6304741^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101330300122010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48506605046 + ... + 48506607134.

Almost surely, 2101330300122010 is an apocalyptic number.

101330300122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101330300122010 is a deficient number, since it is larger than the sum of its proper divisors (92971958797990).

101330300122010 is a wasteful number, since it uses less digits than its factorization.

101330300122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4708.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101330300122010 its reverse (10221003033101), we get a palindrome (111551303155111).

The spelling of 101330300122010 in words is "one hundred one trillion, three hundred thirty billion, three hundred million, one hundred twenty-two thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 349 457 698 914 1745 1789 2089 2285 3490 3578 4178 4570 5933 7769 8945 10445 11866 15538 17890 20890 29665 30413 35513 38845 59330 60826 71026 77690 152065 159493 177565 304130 318986 355130 624361 729061 797465 817573 954673 1248722 1458122 1594930 1635146 1909346 2711381 3121805 3645305 3737221 4087865 4773365 5422762 6243610 7290610 7474442 8175730 9546730 10614137 12394037 13556905 13898741 16229441 18686105 21228274 24788074 27113810 27797482 32458882 37372210 53070685 61970185 63532757 69493705 81147205 106141370 123940370 127065514 138987410 162294410 285332977 317663785 333180877 570665954 635327570 666361754 1304290129 1426664885 1665904385 1707909997 2608580258 2853329770 3331808770 3415819994 4850660609 5664074909 6521450645 8539549985 9701321218 11328149818 13042901290 17079099970 22172932193 24253303045 28320374545 29034469949 44345864386 48506606090 56640749090 58068939898 110864660965 145172349745 221729321930 290344699490 596060588953 1192121177906 2980302944765 5960605889530 10133030012201 20266060024402 50665150061005 101330300122010