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101202202002221 = 172343731031575099
BaseRepresentation
bin10111000000101011111001…
…010011010000001100101101
3111021022211120110110221102222
4113000223321103100030231
5101231044102203032341
6555123352203525125
730213421623433655
oct2700537123201455
9437284513427388
10101202202002221
112a278681770111
12b4257b88297a5
1344614329b3738
141adc2d9979365
15ba777c97044b
hex5c0af94d032d

101202202002221 has 128 divisors (see below), whose sum is σ = 117876910694400. Its totient is φ = 86347357544448.

The previous prime is 101202202002133. The next prime is 101202202002247. The reversal of 101202202002221 is 122200202202101.

It is a happy number.

It is not a de Polignac number, because 101202202002221 - 238 = 100927324095277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 101202202002221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202202002271) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19847458130 + ... + 19847463228.

It is an arithmetic number, because the mean of its divisors is an integer number (920913364800).

Almost surely, 2101202202002221 is an apocalyptic number.

It is an amenable number.

101202202002221 is a deficient number, since it is larger than the sum of its proper divisors (16674708692179).

101202202002221 is a wasteful number, since it uses less digits than its factorization.

101202202002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5515.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 101202202002221 its reverse (122200202202101), we get a palindrome (223402404204322).

The spelling of 101202202002221 in words is "one hundred one trillion, two hundred two billion, two hundred two million, two thousand, two hundred twenty-one".

Divisors: 1 17 23 43 73 103 157 391 731 989 1241 1679 1751 2369 2669 3139 3611 4429 5099 6751 7519 11461 16171 16813 28543 40273 53363 61387 72197 75293 86683 101867 114767 117277 127823 155273 172937 194837 219257 263603 274907 323317 371933 372227 492823 525197 695353 800543 1180483 1227349 1731739 1993709 2639641 2939929 3727369 4481251 5042911 5496389 6322861 6327859 7436291 8377991 8561221 8928349 11334929 11821001 12079531 13609231 15993119 16005761 18412489 20068211 22583471 27151109 34423349 38339381 50760769 58439639 82455929 85729487 126416947 145540757 192693793 205352027 271883023 272097937 313012313 368132503 383919007 461568853 519419833 585196933 651769477 791737027 862933073 881805763 993473863 1167497687 1344111697 1401750793 1648593383 1896486367 2512904477 3545604947 6019282817 6258252551 8830137161 13459529459 14990697971 19847460679 22849898849 28026087511 32240268239 37917647809 42719376109 57796802971 60275284099 81548913781 102327807889 138443504791 258829161131 644600012753 982545650507 1386331534277 2353539581447 4400095739227 5953070706013 101202202002221