Search a number
-
+
101263243653 = 321113473175281
BaseRepresentation
bin101111001001111000…
…0100111100110000101
3100200101012122202202200
41132103300213212011
53124341342244103
6114304130425113
710213253240415
oct1362360474605
9320335582680
10101263243653
1139a44508820
1217760a32199
13971a4483b0
144c88b34645
15297a0b90a3
hex1793c27985

101263243653 has 96 divisors (see below), whose sum is σ = 176083794432. Its totient is φ = 55260057600.

The previous prime is 101263243637. The next prime is 101263243663. The reversal of 101263243653 is 356342362101.

101263243653 is a `hidden beast` number, since 1 + 0 + 12 + 632 + 4 + 3 + 6 + 5 + 3 = 666.

It is not a de Polignac number, because 101263243653 - 24 = 101263243637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101263243603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19172373 + ... + 19177653.

It is an arithmetic number, because the mean of its divisors is an integer number (1834206192).

Almost surely, 2101263243653 is an apocalyptic number.

101263243653 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101263243653 is a deficient number, since it is larger than the sum of its proper divisors (74820550779).

101263243653 is a wasteful number, since it uses less digits than its factorization.

101263243653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5675 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 101263243653 in words is "one hundred one billion, two hundred sixty-three million, two hundred forty-three thousand, six hundred fifty-three".

Divisors: 1 3 9 11 13 33 39 47 99 117 141 143 317 423 429 517 611 951 1287 1551 1833 2853 3487 4121 4653 5281 5499 6721 10461 12363 14899 15843 20163 31383 37089 44697 45331 47529 58091 60489 68653 134091 135993 163889 174273 193687 205959 248207 407979 491667 522819 581061 617877 744621 755183 1475001 1674077 1743183 2130557 2233863 2265549 2730277 3226691 5022231 6391671 6796647 8190831 9680073 15066693 18414847 19175013 21763001 24572493 29040219 35493601 55244541 65289003 78681619 106480803 165733623 195867009 236044857 239393011 319442409 708134571 718179033 865497809 1022861047 2154537099 2596493427 3068583141 7789480281 9205749423 11251471517 33754414551 101263243653