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20113220103100 = 225217291014039367
BaseRepresentation
bin1001001001010111110010…
…10101101110101110111100
32122012210201220001200001121
410210223321111232232330
510114013333321244400
6110435515153520324
74144063226021005
oct444537125565674
978183656050047
1020113220103100
116454a72441283
12230a0b08730a4
13b2b88c96a797
144d76b0d801ac
1524d2ce9ed21a
hex124af956ebbc

20113220103100 has 144 divisors (see below), whose sum is σ = 48279980508480. Its totient is φ = 7238543872000.

The previous prime is 20113220103091. The next prime is 20113220103101. The reversal of 20113220103100 is 130102231102.

It is a super-2 number, since 2×201132201031002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20113220103101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2959617 + ... + 6998983.

It is an arithmetic number, because the mean of its divisors is an integer number (335277642420).

Almost surely, 220113220103100 is an apocalyptic number.

20113220103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20113220103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24139990254240).

20113220103100 is an abundant number, since it is smaller than the sum of its proper divisors (28166760405380).

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

20113220103100 is a wasteful number, since it uses less digits than its factorization.

20113220103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4039528 (or 4039521 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20113220103100 its reverse (130102231102), we get a palindrome (20243322334202).

The spelling of 20113220103100 in words is "twenty trillion, one hundred thirteen billion, two hundred twenty million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 101 116 145 170 202 290 340 404 425 493 505 580 725 850 986 1010 1450 1700 1717 1972 2020 2465 2525 2900 2929 3434 4930 5050 5858 6868 8585 9860 10100 11716 12325 14645 17170 24650 29290 34340 42925 49300 49793 58580 73225 85850 99586 146450 171700 199172 248965 292900 497930 995860 1244825 2489650 4039367 4979300 8078734 16157468 20196835 40393670 68669239 80787340 100984175 117141643 137338478 201968350 234283286 274676956 343346195 403936700 407976067 468566572 585708215 686692390 815952134 1171416430 1373384780 1631904268 1716730975 1991407931 2039880335 2342832860 2928541075 3433461950 3982815862 4079760670 5857082150 6866923900 6935593139 7965631724 8159521340 9957039655 10199401675 11714164300 11831305943 13871186278 19914079310 20398803350 23662611886 27742372556 34677965695 39828158620 40797606700 47325223772 49785198275 59156529715 69355931390 99570396550 118313059430 138711862780 173389828475 199140793100 201132201031 236626118860 295782648575 346779656950 402264402062 591565297150 693559313900 804528804124 1005661005155 1183130594300 2011322010310 4022644020620 5028305025775 10056610051550 20113220103100