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2554253152101 = 3272312773971699
BaseRepresentation
bin100101001010110101010…
…110100000111101100101
3100001011222021221020200100
4211022311112200331211
5313322102301331401
65233224021334313
7352352526364500
oct45126526407545
910034867836610
102554253152101
118a5286351472
12353046267399
13156b3264a8c1
148b8ab214137
1546696a83b86
hex252b55a0f65

2554253152101 has 144 divisors (see below), whose sum is σ = 4460103897600. Its totient is φ = 1403019636480.

The previous prime is 2554253152097. The next prime is 2554253152103. The reversal of 2554253152101 is 1012513524552.

2554253152101 is a `hidden beast` number, since 2 + 5 + 5 + 425 + 3 + 15 + 210 + 1 = 666.

2554253152101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2554253152101 - 22 = 2554253152097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2554253152103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1503385350 + ... + 1503387048.

Almost surely, 22554253152101 is an apocalyptic number.

2554253152101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2554253152101 is a deficient number, since it is larger than the sum of its proper divisors (1905850745499).

2554253152101 is a wasteful number, since it uses less digits than its factorization.

2554253152101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 2554253152101 its reverse (1012513524552), we get a palindrome (3566766676653).

The spelling of 2554253152101 in words is "two trillion, five hundred fifty-four billion, two hundred fifty-three million, one hundred fifty-two thousand, one hundred one".

Divisors: 1 3 7 9 21 31 49 63 93 147 217 277 279 397 441 651 831 1191 1519 1699 1939 1953 2493 2779 3573 4557 5097 5817 8337 8587 11893 12307 13573 13671 15291 17451 19453 25011 25761 35679 36921 40719 52669 58359 60109 77283 83251 86149 107037 109969 110763 122157 158007 175077 180327 249753 258447 329907 368683 420763 470623 474021 540981 603043 674503 749259 769783 775341 989721 1106049 1262289 1411869 1809129 2023509 2309349 2580781 3294361 3318147 3409039 3786867 4235607 4721521 5388481 5427387 6070527 6928047 7742343 9883083 10227117 14164563 14589313 16165443 20909593 23060527 23227029 23863273 29649249 30681351 33050647 42493689 43767939 48496329 62728779 69181581 71589819 99151941 102125191 131303817 146367151 167042911 186837331 188186337 207544743 214769457 297455823 306375573 439101453 501128733 560511993 714876337 919126719 1024570057 1307861317 1317304359 1503386199 1681535979 2144629011 3073710171 3923583951 5791957261 6433887033 9155029219 9221130513 11770751853 17375871783 27465087657 40543700827 52127615349 82395262971 121631102481 283805905789 364893307443 851417717367 2554253152101