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1012111022020 = 225723136834831
BaseRepresentation
bin11101011101001101000…
…01001001011111000100
310120202102202110002102011
432232212201021133010
5113040300410201040
62052542443424004
7133060024512100
oct16564641113704
93522382402364
101012111022020
11360263316aaa
121441a1b25004
1374598432967
1436db4ac4900
151b4d9b173ea
hexeba68497c4

1012111022020 has 144 divisors (see below), whose sum is σ = 2484487531008. Its totient is φ = 345322897920.

The previous prime is 1012111021993. The next prime is 1012111022063. The reversal of 1012111022020 is 202201112101.

1012111022020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 209501005 + ... + 209505835.

It is an arithmetic number, because the mean of its divisors is an integer number (17253385632).

Almost surely, 21012111022020 is an apocalyptic number.

1012111022020 is a gapful number since it is divisible by the number (10) 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 1012111022020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242243765504).

1012111022020 is an abundant number, since it is smaller than the sum of its proper divisors (1472376508988).

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

1012111022020 is a wasteful number, since it uses less digits than its factorization.

1012111022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5850 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012111022020 its reverse (202201112101), we get a palindrome (1214312134121).

The spelling of 1012111022020 in words is "one trillion, twelve billion, one hundred eleven million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 313 490 626 683 980 1252 1366 1565 2191 2732 3130 3415 4382 4781 4831 6260 6830 8764 9562 9662 10955 13660 15337 19124 19324 21910 23905 24155 30674 33467 33817 43820 47810 48310 61348 66934 67634 76685 95620 96620 133868 135268 153370 167335 169085 213779 236719 306740 334670 338170 427558 473438 669340 676340 855116 946876 1068895 1183595 1496453 1512103 2137790 2367190 2992906 3024206 3299573 4275580 4734380 5985812 6048412 6599146 7482265 7560515 10475171 10584721 13198292 14964530 15121030 16497865 20950342 21169442 23097011 29929060 30242060 32995730 41900684 42338884 46194022 52375855 52923605 65991460 74093047 92388044 104751710 105847210 115485055 148186094 161679077 209503420 211694420 230970110 296372188 323358154 370465235 461940220 646716308 740930470 808395385 1032766349 1481860940 1616790770 2065532698 3233581540 4131065396 5163831745 7229364443 10327663490 14458728886 20655326980 28917457772 36146822215 50605551101 72293644430 101211102202 144587288860 202422204404 253027755505 506055511010 1012111022020