Search a number
-
+
102000000111000 = 23353199317059709
BaseRepresentation
bin10111001100010010111001…
…110001100001000110011000
3111101011002211101101000111220
4113030102321301201012120
5101332132000012023000
61000534053030052040
730325154042452035
oct2714227161410630
9441132741330456
10102000000111000
112a555a58a233a2
12b5343497aa020
1344bb7357189a4
141b28b7d6d038c
15bbd3c27c01a0
hex5cc4b9c61198

102000000111000 has 128 divisors (see below), whose sum is σ = 318399697886400. Its totient is φ = 27186350668800.

The previous prime is 102000000110963. The next prime is 102000000111001. The reversal of 102000000111000 is 111000000201.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

102000000111000 is a modest number, since divided by 111000 gives 102000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 102000000111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000000111001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2550855 + ... + 14508854.

Almost surely, 2102000000111000 is an apocalyptic number.

102000000111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102000000111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159199848943200).

102000000111000 is an abundant number, since it is smaller than the sum of its proper divisors (216399697775400).

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

102000000111000 is a wasteful number, since it uses less digits than its factorization.

102000000111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17061726 (or 17061712 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 102000000111000 its reverse (111000000201), we get a palindrome (102111000111201).

The spelling of 102000000111000 in words is "one hundred two trillion, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1993 3000 3986 5979 7972 9965 11958 15944 19930 23916 29895 39860 47832 49825 59790 79720 99650 119580 149475 199300 239160 249125 298950 398600 498250 597900 747375 996500 1195800 1494750 1993000 2989500 5979000 17059709 34119418 51179127 68238836 85298545 102358254 136477672 170597090 204716508 255895635 341194180 409433016 426492725 511791270 682388360 852985450 1023582540 1279478175 1705970900 2047165080 2132463625 2558956350 3411941800 4264927250 5117912700 6397390875 8529854500 10235825400 12794781750 17059709000 25589563500 34000000037 51179127000 68000000074 102000000111 136000000148 170000000185 204000000222 272000000296 340000000370 408000000444 510000000555 680000000740 816000000888 850000000925 1020000001110 1360000001480 1700000001850 2040000002220 2550000002775 3400000003700 4080000004440 4250000004625 5100000005550 6800000007400 8500000009250 10200000011100 12750000013875 17000000018500 20400000022200 25500000027750 34000000037000 51000000055500 102000000111000