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103217260256 = 2511734016861
BaseRepresentation
bin110000000100000111…
…0100110011011100000
3100212102101111002121222
41200020032212123200
53142342104312011
6115230052034212
710312551144005
oct1401016463340
9325371432558
10103217260256
113a8574a8380
1218007302968
13996c212636
144dd245d8ac
152a418e6ddb
hex18083a66e0

103217260256 has 48 divisors (see below), whose sum is σ = 224719327728. Its totient is φ = 46274227200.

The previous prime is 103217260253. The next prime is 103217260297. The reversal of 103217260256 is 652062712301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103217260253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1982735 + ... + 2034126.

It is an arithmetic number, because the mean of its divisors is an integer number (4681652661).

Almost surely, 2103217260256 is an apocalyptic number.

103217260256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

103217260256 is an abundant number, since it is smaller than the sum of its proper divisors (121502067472).

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

103217260256 is a wasteful number, since it uses less digits than its factorization.

103217260256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016955 (or 4016947 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

Adding to 103217260256 its reverse (652062712301), we get a palindrome (755279972557).

The spelling of 103217260256 in words is "one hundred three billion, two hundred seventeen million, two hundred sixty thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 73 88 146 176 292 352 584 803 1168 1606 2336 3212 6424 12848 25696 4016861 8033722 16067444 32134888 44185471 64269776 88370942 128539552 176741884 293230853 353483768 586461706 706967536 1172923412 1413935072 2345846824 3225539383 4691693648 6451078766 9383387296 12902157532 25804315064 51608630128 103217260256