Search a number
-
+
1023244423201 = 721121326116741
BaseRepresentation
bin11101110001111100001…
…11101101000000100001
310121211011122220110200001
432320332013231000201
5113231101033020301
62102023315100001
7133632644042500
oct16707607550041
93554148813601
101023244423201
11364a5688a100
1214638a5a1601
1375650b96c00
143774d59c837
151b93c257c01
hexee3e1ed021

1023244423201 has 108 divisors (see below), whose sum is σ = 1440046823292. Its totient is φ = 723891168000.

The previous prime is 1023244423199. The next prime is 1023244423213.

1023244423201 is nontrivially palindromic in base 10.

1023244423201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 138890382400 + 884354040801 = 372680^2 + 940401^2 .

It is not a de Polignac number, because 1023244423201 - 21 = 1023244423199 is a prime.

It is a super-2 number, since 2×10232444232012 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1023244423201.

It is not an unprimeable number, because it can be changed into a prime (1023244423231) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 61113691 + ... + 61130431.

Almost surely, 21023244423201 is an apocalyptic number.

1023244423201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1023244423201 is a deficient number, since it is larger than the sum of its proper divisors (416802400091).

1023244423201 is a wasteful number, since it uses less digits than its factorization.

1023244423201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16864 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 1023244423201 in words is "one trillion, twenty-three billion, two hundred forty-four million, four hundred twenty-three thousand, two hundred one".

Divisors: 1 7 11 13 49 61 77 91 121 143 169 427 539 637 671 793 847 1001 1183 1573 1859 2989 4697 5551 5929 7007 7381 8281 8723 10309 11011 13013 16741 20449 32879 38857 51667 61061 72163 77077 91091 95953 113399 117187 143143 184151 217633 361669 427427 505141 671671 793793 820309 1002001 1021201 1247389 1289057 1523431 2025661 2393963 2829229 4701697 5556551 7148407 8731723 9023399 10664017 11233211 13275613 14179627 16757741 19804603 26333593 31121519 50038849 61122061 78632477 92929291 99257389 117304187 123565321 138632221 146031743 172582969 184335151 217850633 342336709 550427339 650505037 864957247 1022222201 1208080783 1290346057 1524954431 1606349173 1898412659 2396356963 6054700729 7155555407 8456565481 11244444211 13288888613 16774498741 20882539249 78711109477 93022220291 146177774743 1023244423201