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20245045052100 = 223521117873433051
BaseRepresentation
bin1001001101001101010101…
…01110000000001011000100
32122200101222222221221002010
410212212222232000023010
510123143323013131400
6111020240104014220
74156441042423251
oct446465256001304
978611888857063
1020245045052100
1164a596a165620
12232b760761370
13b3b13a95929b
144ddc18978428
15251947b97450
hex1269aab802c4

20245045052100 has 144 divisors (see below), whose sum is σ = 63936501302016. Its totient is φ = 4905141840000.

The previous prime is 20245045052083. The next prime is 20245045052147. The reversal of 20245045052100 is 125054054202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4180575 + ... + 7613625.

It is an arithmetic number, because the mean of its divisors is an integer number (444003481264).

Almost surely, 220245045052100 is an apocalyptic number.

20245045052100 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 20245045052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31968250651008).

20245045052100 is an abundant number, since it is smaller than the sum of its proper divisors (43691456249916).

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

20245045052100 is a wasteful number, since it uses less digits than its factorization.

20245045052100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3434866 (or 3434859 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 20245045052100 in words is "twenty trillion, two hundred forty-five billion, forty-five million, fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 1787 3300 3574 5361 7148 8935 10722 17870 19657 21444 26805 35740 39314 44675 53610 58971 78628 89350 98285 107220 117942 134025 178700 196570 235884 268050 294855 393140 491425 536100 589710 982850 1179420 1474275 1965700 2948550 3433051 5897100 6866102 10299153 13732204 17165255 20598306 34330510 37763561 41196612 51495765 68661020 75527122 85826275 102991530 113290683 151054244 171652550 188817805 205983060 226581366 257478825 343305100 377635610 453162732 514957650 566453415 755271220 944089025 1029915300 1132906830 1888178050 2265813660 2832267075 3776356100 5664534150 6134862137 11329068300 12269724274 18404586411 24539448548 30674310685 36809172822 61348621370 67483483507 73618345644 92022932055 122697242740 134966967014 153371553425 184045864110 202450450521 269933934028 306743106850 337417417535 368091728220 404900901042 460114660275 613486213700 674834835070 809801802084 920229320550 1012252252605 1349669670140 1687087087675 1840458641100 2024504505210 3374174175350 4049009010420 5061261263025 6748348350700 10122522526050 20245045052100