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20123122003020 = 22325353316700063
BaseRepresentation
bin1001001001101010001111…
…00010011110110001001100
32122020202021222020022011200
410210311013202132301030
510114144123213044040
6110444233513545500
74144563502542621
oct444650742366114
978222258208150
1020123122003020
116459193842243
12230bbb4a15290
13b2c7aa22b16a
144d7d70088348
1524d6ade7e630
hex124d4789ec4c

20123122003020 has 72 divisors (see below), whose sum is σ = 61213055170176. Its totient is φ = 5350964247552.

The previous prime is 20123122003007. The next prime is 20123122003079. The reversal of 20123122003020 is 2030022132102.

20123122003020 is a `hidden beast` number, since 20 + 12 + 312 + 20 + 0 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20123122002984 and 20123122003002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158286492 + ... + 158413571.

It is an arithmetic number, because the mean of its divisors is an integer number (850181321808).

Almost surely, 220123122003020 is an apocalyptic number.

20123122003020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20123122003020 is an abundant number, since it is smaller than the sum of its proper divisors (41089933167156).

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

20123122003020 is a wasteful number, since it uses less digits than its factorization.

20123122003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316700431 (or 316700426 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20123122003020 its reverse (2030022132102), we get a palindrome (22153144135122).

The spelling of 20123122003020 in words is "twenty trillion, one hundred twenty-three billion, one hundred twenty-two million, three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 353 706 1059 1412 1765 2118 3177 3530 4236 5295 6354 7060 10590 12708 15885 21180 31770 63540 316700063 633400126 950100189 1266800252 1583500315 1900200378 2850300567 3167000630 3800400756 4750500945 5700601134 6334001260 9501001890 11401202268 14251502835 19002003780 28503005670 57006011340 111795122239 223590244478 335385366717 447180488956 558975611195 670770733434 1006156100151 1117951222390 1341541466868 1676926833585 2012312200302 2235902444780 3353853667170 4024624400604 5030780500755 6707707334340 10061561001510 20123122003020