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201453354102 = 237111337906541
BaseRepresentation
bin1011101110011110001…
…1100011110001110110
3201020222122000201112010
42323213203203301312
511300034024312402
6232314004305050
720361126153660
oct2734743436166
9636878021463
10201453354102
11784881916a0
12330623a2186
1315cc645b910
149a71121530
155390d57a6c
hex2ee78e3c76

201453354102 has 128 divisors (see below), whose sum is σ = 555586956288. Its totient is φ = 46995033600.

The previous prime is 201453354101. The next prime is 201453354127.

201453354102 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 201453354102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201453354101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231049 + ... + 675492.

It is an arithmetic number, because the mean of its divisors is an integer number (4340523096).

Almost surely, 2201453354102 is an apocalyptic number.

201453354102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201453354102 is an abundant number, since it is smaller than the sum of its proper divisors (354133602186).

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

201453354102 is a wasteful number, since it uses less digits than its factorization.

201453354102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906614.

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 201453 and 354102, that added together give a palindrome (555555).

The spelling of 201453354102 in words is "two hundred one billion, four hundred fifty-three million, three hundred fifty-four thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 906541 1813082 2719623 5439246 6345787 9971951 11785033 12691574 19037361 19943902 23570066 29915853 33542017 35355099 38074722 59831706 67084034 69803657 70710198 82495231 100626051 129635363 139607314 164990462 201252102 209410971 234794119 247485693 259270726 368962187 388906089 418821942 436046221 469588238 494971386 704382357 737924374 777812178 872092442 907447541 1106886561 1308138663 1408764714 1814895082 2213773122 2582735309 2616277326 2722342623 3052323547 4796508431 5165470618 5444685246 6104647094 7748205927 9156970641 9593016862 14389525293 15496411854 18313941282 28779050586 33575559017 67151118034 100726677051 201453354102