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1025050051120 = 24559727298723
BaseRepresentation
bin11101110101010011011…
…11101000001000110000
310121222211111111212112011
432322221233220020300
5113243300303113440
62102522420012304
7134025460450024
oct16725157501060
93558744455464
101025050051120
113657a3038087
121467b3231094
137587aca77b4
14378812dc384
151b9e5a239ea
hexeea9be8230

1025050051120 has 80 divisors (see below), whose sum is σ = 2426977163520. Its totient is φ = 402514751232.

The previous prime is 1025050051099. The next prime is 1025050051147. The reversal of 1025050051120 is 211500505201.

It is a happy number.

1025050051120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10250500511202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1025050051091 and 1025050051100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3282079 + ... + 3580801.

It is an arithmetic number, because the mean of its divisors is an integer number (30337214544).

Almost surely, 21025050051120 is an apocalyptic number.

1025050051120 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 1025050051120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213488581760).

1025050051120 is an abundant number, since it is smaller than the sum of its proper divisors (1401927112400).

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

1025050051120 is a wasteful number, since it uses less digits than its factorization.

1025050051120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299522 (or 299516 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

Adding to 1025050051120 its reverse (211500505201), we get a palindrome (1236550556321).

The spelling of 1025050051120 in words is "one trillion, twenty-five billion, fifty million, fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 727 944 1180 1454 2360 2908 3635 4720 5816 7270 11632 14540 29080 42893 58160 85786 171572 214465 298723 343144 428930 597446 686288 857860 1194892 1493615 1715720 2389784 2987230 3431440 4779568 5974460 11948920 17624657 23897840 35249314 70498628 88123285 140997256 176246570 217171621 281994512 352493140 434343242 704986280 868686484 1085858105 1409972560 1737372968 2171716210 3474745936 4343432420 8686864840 12813125639 17373729680 25626251278 51252502556 64065628195 102505005112 128131256390 205010010224 256262512780 512525025560 1025050051120