Search a number
-
+
23351052135105 = 3251737824979761
BaseRepresentation
bin1010100111100110101110…
…01010101110101011000001
310001200100010222020222111200
411103303113022232223001
511030040423321310410
6121355154131131413
74630025561134362
oct523632712565301
9101610128228450
1023351052135105
117493142195802
122751710143b69
131004cc16745b6
145aa2a8625b69
152a7633bac3c0
hex153cd72aeac1

23351052135105 has 48 divisors (see below), whose sum is σ = 44014320262224. Its totient is φ = 11404520202240.

The previous prime is 23351052135097. The next prime is 23351052135121. The reversal of 23351052135105 is 50153125015332.

23351052135105 is a `hidden beast` number, since 2 + 3 + 3 + 510 + 5 + 2 + 1 + 35 + 105 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2815227602496 + 20535824532609 = 1677864^2 + 4531647^2 .

It is not a de Polignac number, because 23351052135105 - 23 = 23351052135097 is a prime.

It is a super-2 number, since 2×233510521351052 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23351052135105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412461576 + ... + 412518185.

It is an arithmetic number, because the mean of its divisors is an integer number (916965005463).

Almost surely, 223351052135105 is an apocalyptic number.

It is an amenable number.

23351052135105 is a deficient number, since it is larger than the sum of its proper divisors (20663268127119).

23351052135105 is a wasteful number, since it uses less digits than its factorization.

23351052135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824979826 (or 824979823 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 23351052135105 in words is "twenty-three trillion, three hundred fifty-one billion, fifty-two million, one hundred thirty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 555 629 765 1665 1887 3145 5661 9435 28305 824979761 2474939283 4124898805 7424817849 12374696415 14024655937 30524251157 37124089245 42073967811 70123279685 91572753471 126221903433 152621255785 210369839055 274718260413 457863767355 518912269669 631109517165 1373591302065 1556736809007 2594561348345 4670210427021 7783684045035 23351052135105