Search a number
-
+
100100231231202 = 23423433001208189
BaseRepresentation
bin10110110000101001100110…
…101110010111011011100010
3111010102111012020001122010000
4112300221212232113123202
5101110020233143344302
6552521224505520430
730041001021432216
oct2660514656273342
9433374166048100
10100100231231202
11299932a6a16744
12b288118aa3116
1343b1546826187
141aa0c3c864946
15b88c83e8231c
hex5b0a66b976e2

100100231231202 has 160 divisors (see below), whose sum is σ = 239574779072640. Its totient is φ = 31163245344000.

The previous prime is 100100231231191. The next prime is 100100231231219. The reversal of 100100231231202 is 202132132001001.

100100231231202 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 0 + 231 + 231 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 480710124 + ... + 480918312.

It is an arithmetic number, because the mean of its divisors is an integer number (1497342369204).

Almost surely, 2100100231231202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100231231202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119787389536320).

100100231231202 is an abundant number, since it is smaller than the sum of its proper divisors (139474547841438).

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

100100231231202 is a wasteful number, since it uses less digits than its factorization.

100100231231202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211270 (or 211261 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100100231231202 its reverse (202132132001001), we get a palindrome (302232363232203).

The spelling of 100100231231202 in words is "one hundred trillion, one hundred billion, two hundred thirty-one million, two hundred thirty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 23 27 43 46 54 69 81 86 129 138 162 207 258 387 414 621 774 989 1161 1242 1863 1978 2322 2967 3001 3483 3726 5934 6002 6966 8901 9003 17802 18006 26703 27009 53406 54018 69023 80109 81027 129043 138046 160218 162054 207069 208189 243081 258086 387129 414138 416378 486162 621207 624567 774258 1161387 1242414 1249134 1863621 1873701 2322774 2967989 3484161 3727242 3747402 4788347 5590863 5621103 5935978 6968322 8903967 8952127 9576694 10452483 11181726 11242206 14365041 16863309 17807934 17904254 20904966 26711901 26856381 28730082 33726618 43095123 53423802 53712762 80135703 80569143 86190246 129285369 160271406 161138286 205898921 240407109 241707429 258570738 387856107 411797842 480814218 483414858 617696763 624775189 725122287 775712214 1235393526 1249550378 1450244574 1853090289 1874325567 3706180578 3748651134 5559270867 5622976701 11118541734 11245953402 14369829347 16677812601 16868930103 26865333127 28739658694 33355625202 33737860206 43109488041 50606790309 53730666254 80595999381 86218976082 101213580618 129328464123 161191998762 241787998143 258656928246 387985392369 483575996286 617902661921 725363994429 775970784738 1163956177107 1235805323842 1450727988858 1853707985763 2176091983287 2327912354214 3707415971526 4352183966574 5561123957289 11122247914578 16683371871867 33366743743734 50050115615601 100100231231202