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5201105144235 = 3571121331490359
BaseRepresentation
bin100101110101111101000…
…0001100100100110101011
3200102012221221220221210120
41023223322001210212223
51140203330404103420
615021204341414323
71044524143166040
oct113537201444653
920365857827716
105201105144235
11172585a296a00
1270001370a3a3
132b9601345730
1413da405451c7
159045cbe5d40
hex4bafa0649ab

5201105144235 has 96 divisors (see below), whose sum is σ = 11257929661440. Its totient is φ = 1995229082880.

The previous prime is 5201105144203. The next prime is 5201105144239. The reversal of 5201105144235 is 5324415011025.

It is not a de Polignac number, because 5201105144235 - 25 = 5201105144203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5201105144196 and 5201105144205.

It is not an unprimeable number, because it can be changed into a prime (5201105144239) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15580015 + ... + 15910344.

It is an arithmetic number, because the mean of its divisors is an integer number (117270100640).

Almost surely, 25201105144235 is an apocalyptic number.

5201105144235 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5201105144235 is an abundant number, since it is smaller than the sum of its proper divisors (6056824517205).

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

5201105144235 is a wasteful number, since it uses less digits than its factorization.

5201105144235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31490409 (or 31490398 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 5201105144235 in words is "five trillion, two hundred one billion, one hundred five million, one hundred forty-four thousand, two hundred thirty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 121 143 165 195 231 273 363 385 429 455 605 715 847 1001 1155 1365 1573 1815 2145 2541 3003 4235 4719 5005 7865 11011 12705 15015 23595 33033 55055 165165 31490359 94471077 157451795 220432513 346393949 409374667 472355385 661297539 1039181847 1102162565 1228124001 1731969745 2046873335 2424757643 2865622669 3306487695 3810333439 4503121337 5195909235 6140620005 7274272929 8596868007 11431000317 12123788215 13509364011 14328113345 19051667195 22515606685 26672334073 31521849359 36371364645 42984340035 49534334707 57155001585 67546820055 80017002219 94565548077 133361670365 148603004121 157609246795 247671673535 346740342949 400085011095 472827740385 743015020605 1040221028847 1733701714745 5201105144235