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20123123020 = 225721113143593
BaseRepresentation
bin10010101111011011…
…100111110101001100
31220221102012120021121
4102233123213311030
5312203004414040
613124444210324
71311445503100
oct225733476514
956842176247
1020123123020
118596a84190
123a972399a4
131b890561b0
14d8c7b5900
157cb98bc4a
hex4af6e7d4c

20123123020 has 144 divisors (see below), whose sum is σ = 57752358048. Its totient is φ = 5789629440.

The previous prime is 20123123017. The next prime is 20123123047. The reversal of 20123123020 is 2032132102.

It is a junction number, because it is equal to n+sod(n) for n = 20123122985 and 20123123003.

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, 68344 + ... + 211936.

It is an arithmetic number, because the mean of its divisors is an integer number (401058042).

Almost surely, 220123123020 is an apocalyptic number.

20123123020 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 20123123020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28876179024).

20123123020 is an abundant number, since it is smaller than the sum of its proper divisors (37629235028).

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

20123123020 is a wasteful number, since it uses less digits than its factorization.

20123123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143640 (or 143631 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20123123020 its reverse (2032132102), we get a palindrome (22155255122).

The spelling of 20123123020 in words is "twenty billion, one hundred twenty-three million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 49 52 55 65 70 77 91 98 110 130 140 143 154 182 196 220 245 260 286 308 364 385 455 490 539 572 637 715 770 910 980 1001 1078 1274 1430 1540 1820 2002 2156 2548 2695 2860 3185 4004 5005 5390 6370 7007 10010 10780 12740 14014 20020 28028 35035 70070 140140 143593 287186 574372 717965 1005151 1435930 1579523 1866709 2010302 2871860 3159046 3733418 4020604 5025755 6318092 7036057 7466836 7897615 9333545 10051510 11056661 13066963 14072114 15795230 18667090 20103020 20533799 22113322 26133926 28144228 31590460 35180285 37334180 41067598 44226644 52267852 55283305 65334815 70360570 77396627 82135196 91468741 102668995 110566610 130669630 140721140 143736593 154793254 182937482 205337990 221133220 261339260 287473186 309586508 365874964 386983135 410675980 457343705 574946372 718682965 773966270 914687410 1006156151 1437365930 1547932540 1829374820 2012312302 2874731860 4024624604 5030780755 10061561510 20123123020