Search a number
-
+
103212403054544 = 2478319158130279
BaseRepresentation
bin10111011101111100000010…
…100111101101011111010000
3111112110000020211101221110202
4113131330002213231133100
5102012013000140221134
61003303042352514332
730511564364443250
oct2735740247553720
9445400224357422
10103212403054544
112a983152867553
12b6ab308b4b9a8
134578b7079a534
141b6b715165960
15bdebd12c1d7e
hex5ddf029ed7d0

103212403054544 has 80 divisors (see below), whose sum is σ = 232506238648320. Its totient is φ = 43472147099520.

The previous prime is 103212403054477. The next prime is 103212403054561. The reversal of 103212403054544 is 445450304212301.

It is a junction number, because it is equal to n+sod(n) for n = 103212403054498 and 103212403054507.

It is a congruent number.

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, 27289604 + ... + 30840675.

It is an arithmetic number, because the mean of its divisors is an integer number (2906327983104).

Almost surely, 2103212403054544 is an apocalyptic number.

103212403054544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

103212403054544 is an abundant number, since it is smaller than the sum of its proper divisors (129293835593776).

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

103212403054544 is a wasteful number, since it uses less digits than its factorization.

103212403054544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58130568 (or 58130562 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

Adding to 103212403054544 its reverse (445450304212301), we get a palindrome (548662707266845).

The spelling of 103212403054544 in words is "one hundred three trillion, two hundred twelve billion, four hundred three million, fifty-four thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 191 332 382 581 664 764 1162 1328 1337 1528 2324 2674 3056 4648 5348 9296 10696 15853 21392 31706 63412 110971 126824 221942 253648 443884 887768 1775536 58130279 116260558 232521116 406911953 465042232 813823906 930084464 1627647812 3255295624 4824813157 6510591248 9649626314 11102883289 19299252628 22205766578 33773692099 38598505256 44411533156 67547384198 77197010512 77720183023 88823066312 135094768396 155440366046 177646132624 270189536792 310880732092 540379073584 621761464184 921539312987 1243522928368 1843078625974 3686157251948 6450775190909 7372314503896 12901550381818 14744629007792 25803100763636 51606201527272 103212403054544