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101202220101213 = 33721149921139301
BaseRepresentation
bin10111000000101011111010…
…011000010010111001011101
3111021022211121201112110121000
4113000223322120102321131
5101231044121321214323
6555123354051500513
730213422233324500
oct2700537230227135
9437284551473530
10101202220101213
112a278690a02160
12b4258028b7739
13446143667c7ba
141adc2dc12b137
15ba777e347e43
hex5c0afa612e5d

101202220101213 has 96 divisors (see below), whose sum is σ = 190267854387840. Its totient is φ = 52571151360000.

The previous prime is 101202220101173. The next prime is 101202220101221. The reversal of 101202220101213 is 312101022202101.

101202220101213 is a `hidden beast` number, since 10 + 120 + 2 + 220 + 101 + 213 = 666.

It is not a de Polignac number, because 101202220101213 - 26 = 101202220101149 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202220105213) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726430663 + ... + 726569963.

It is an arithmetic number, because the mean of its divisors is an integer number (1981956816540).

Almost surely, 2101202220101213 is an apocalyptic number.

It is an amenable number.

101202220101213 is a deficient number, since it is larger than the sum of its proper divisors (89065634286627).

101202220101213 is a wasteful number, since it uses less digits than its factorization.

101202220101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189256 (or 189243 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101202220101213 its reverse (312101022202101), we get a palindrome (413303242303314).

The spelling of 101202220101213 in words is "one hundred one trillion, two hundred two billion, two hundred twenty million, one hundred one thousand, two hundred thirteen".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 147 189 231 297 441 539 693 1323 1617 2079 4851 14553 49921 139301 149763 349447 417903 449289 549131 975107 1048341 1253709 1347867 1532311 1647393 2446129 2925321 3145023 3761127 3843917 4596933 4942179 6825749 7338387 8775963 9435069 10726177 11531751 13790799 14826537 20477247 22015161 26327889 26907419 32178531 34595253 41372397 61431741 66045483 75083239 80722257 96535593 103785759 184295223 225249717 242166771 289606779 675749151 726500313 2027247453 6954045221 20862135663 48678316547 62586406989 76494497431 146034949641 187759220967 229483492293 340748215829 438104848923 535461482017 688450476879 1022244647487 1314314546769 1606384446051 2065351430637 3066733942461 3748230374119 4819153338153 9200201827383 11244691122357 14457460014459 33734073367071 101202220101213