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103544161445300 = 225229103013466157
BaseRepresentation
bin10111100010110001000000…
…111101100010010110110100
3111120121201120122100101020112
4113202301000331202112310
5102032431420312222200
61004115310414322152
730544550563312262
oct2742610075422664
9446551518311215
10103544161445300
112aaa0917821884
12b7436761b9358
1345a1232073124
141b7d7c8077432
15be864bb44535
hex5e2c40f625b4

103544161445300 has 72 divisors (see below), whose sum is σ = 232461421751160. Its totient is φ = 39985575616000.

The previous prime is 103544161445267. The next prime is 103544161445323. The reversal of 103544161445300 is 3544161445301.

It can be written as a sum of positive squares in 12 ways, for example, as 406447051024 + 103137714394276 = 637532^2 + 10155674^2 .

It is a super-3 number, since 3×1035441614453003 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28139822 + ... + 31605978.

It is an arithmetic number, because the mean of its divisors is an integer number (3228630857655).

Almost surely, 2103544161445300 is an apocalyptic number.

103544161445300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103544161445300 is an abundant number, since it is smaller than the sum of its proper divisors (128917260305860).

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

103544161445300 is a wasteful number, since it uses less digits than its factorization.

103544161445300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3476501 (or 3476494 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 41.

Subtracting from 103544161445300 its reverse (3544161445301), we obtain a palindrome (99999999999999).

The spelling of 103544161445300 in words is "one hundred three trillion, five hundred forty-four billion, one hundred sixty-one million, four hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 10301 20602 41204 51505 103010 206020 257525 298729 515050 597458 1030100 1194916 1493645 2987290 3466157 5974580 6932314 7468225 13864628 14936450 17330785 29872900 34661570 69323140 86653925 100518553 173307850 201037106 346615700 402074212 502592765 1005185530 2010371060 2512963825 5025927650 10051855300 35704883257 71409766514 142819533028 178524416285 357048832570 714097665140 892622081425 1035441614453 1785244162850 2070883228906 3570488325700 4141766457812 5177208072265 10354416144530 20708832289060 25886040361325 51772080722650 103544161445300