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20201222010102 = 23719371574357861
BaseRepresentation
bin1001001011111011101101…
…01010010111010011110110
32122112012212220011201212120
410211331312222113103312
510121434100313310402
6110544151400100410
74153330053624360
oct445756652272366
978465786151776
1020201222010102
1164893211a8541
122323170464706
13b36c758326c3
144dba5c75bd30
152507307423bc
hex125f76a974f6

20201222010102 has 128 divisors (see below), whose sum is σ = 50236038620160. Its totient is φ = 5286328220160.

The previous prime is 20201222010091. The next prime is 20201222010199. The reversal of 20201222010102 is 20101022210202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456652 + ... + 6814512.

It is an arithmetic number, because the mean of its divisors is an integer number (392469051720).

Almost surely, 220201222010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201222010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25118019310080).

20201222010102 is an abundant number, since it is smaller than the sum of its proper divisors (30034816610058).

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

20201222010102 is a wasteful number, since it uses less digits than its factorization.

20201222010102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4358086.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20201222010102 its reverse (20101022210202), we get a palindrome (40302244220304).

The spelling of 20201222010102 in words is "twenty trillion, two hundred one billion, two hundred twenty-two million, ten thousand, one hundred two".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 157 222 259 266 314 399 471 518 703 777 798 942 1099 1406 1554 2109 2198 2983 3297 4218 4921 5809 5966 6594 8949 9842 11618 14763 17427 17898 20881 29526 34854 40663 41762 62643 81326 110371 121989 125286 220742 243978 331113 662226 772597 1545194 2317791 4357861 4635582 8715722 13073583 26147166 30505027 61010054 82799359 91515081 161240857 165598718 183030162 248398077 322481714 483722571 496796154 579595513 684184177 967445142 1128685999 1159191026 1368368354 1738786539 2052552531 2257371998 3063576283 3386057997 3477573078 4105105062 4789289239 6127152566 6772115994 9190728849 9578578478 12999499363 14367867717 18381457698 21445033981 25314814549 25998998726 28735735434 38998498089 42890067962 50629629098 64335101943 75944443647 77996996178 90996495541 128670203886 151888887294 177203701843 181992991082 272989486623 354407403686 480981476431 531611105529 545978973246 961962952862 1063222211058 1442944429293 2885888858586 3366870335017 6733740670034 10100611005051 20201222010102