Search a number
-
+
201032130123 = 331121721491429
BaseRepresentation
bin1011101100111001110…
…0101101111001001011
3201012220021102022212000
42323032130231321023
511243203211130443
6232204120122043
720344522624506
oct2731634557113
9635807368760
10201032130123
117829143a900
1232b65306323
1315c5a0c8a66
149a311d413d
155368da08d3
hex2ece72de4b

201032130123 has 144 divisors (see below), whose sum is σ = 350329980000. Its totient is φ = 113821424640.

The previous prime is 201032130097. The next prime is 201032130137. The reversal of 201032130123 is 321031230102.

201032130123 is a `hidden beast` number, since 20 + 1 + 0 + 321 + 301 + 23 = 666.

It is not a de Polignac number, because 201032130123 - 28 = 201032129867 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 201032130096 and 201032130105.

It is not an unprimeable number, because it can be changed into a prime (201032130023) 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 143 ways as a sum of consecutive naturals, for example, 140679573 + ... + 140681001.

Almost surely, 2201032130123 is an apocalyptic number.

201032130123 is a deficient number, since it is larger than the sum of its proper divisors (149297849877).

201032130123 is a wasteful number, since it uses less digits than its factorization.

201032130123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 201032130123 its reverse (321031230102), we get a palindrome (522063360225).

The spelling of 201032130123 in words is "two hundred one billion, thirty-two million, one hundred thirty thousand, one hundred twenty-three".

Divisors: 1 3 9 11 17 27 33 51 99 121 149 153 187 289 297 363 447 459 561 867 1089 1341 1429 1639 1683 2057 2533 2601 3179 3267 4023 4287 4917 5049 6171 7599 7803 9537 12861 14751 15719 18029 18513 22797 24293 27863 28611 34969 38583 43061 44253 47157 54087 55539 68391 72879 83589 85833 104907 129183 141471 162261 172909 212921 218637 250767 267223 306493 314721 387549 412981 424413 473671 486783 518727 638763 655911 752301 801669 919479 944163 1162647 1238943 1421013 1556181 1916289 2342131 2405007 2758437 2939453 3619657 3716829 4263039 4542791 4668543 5210381 5748867 7026393 7215021 8275311 8818359 10858971 11150487 12789117 13628373 15631143 21079179 25763441 26455077 32576913 39816227 40885119 46893429 49970701 61534169 63237537 77290323 79365231 97730739 119448681 122655357 140680287 149912103 184602507 231870969 358346043 437978497 449736309 553807521 676875859 695612907 1075038129 1313935491 1349208927 1661422563 2030627577 3941806473 6091882731 7445634449 11825419419 18275648193 22336903347 67010710041 201032130123