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20231475221140 = 22531732691661731
BaseRepresentation
bin1001001100110100000011…
…11001001101001010010100
32122122002222021221002111021
410212122001321031022110
510122433030124034030
6111010113355250524
74155450546651001
oct446320171151224
978562867832437
1020231475221140
1164a0136368797
122328bb4149a44
13b39a874c2901
144dd2cc67a8a8
152514016d697a
hex126681e4d294

20231475221140 has 96 divisors (see below), whose sum is σ = 44622688803840. Its totient is φ = 7695538099200.

The previous prime is 20231475221131. The next prime is 20231475221141. The reversal of 20231475221140 is 4112257413202.

It is a junction number, because it is equal to n+sod(n) for n = 20231475221096 and 20231475221105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231475221141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11344075 + ... + 13005805.

It is an arithmetic number, because the mean of its divisors is an integer number (464819675040).

Almost surely, 220231475221140 is an apocalyptic number.

20231475221140 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 20231475221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311344401920).

20231475221140 is an abundant number, since it is smaller than the sum of its proper divisors (24391213582700).

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

20231475221140 is a wasteful number, since it uses less digits than its factorization.

20231475221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662113 (or 1662111 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 20231475221140 in words is "twenty trillion, two hundred thirty-one billion, four hundred seventy-five million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 269 292 310 365 538 620 730 1076 1345 1460 2263 2690 4526 5380 8339 9052 11315 16678 19637 22630 33356 39274 41695 45260 78548 83390 98185 166780 196370 392740 608747 1217494 1661731 2434988 3043735 3323462 6087470 6646924 8308655 12174940 16617310 33234620 51513661 103027322 121306363 206054644 242612726 257568305 447005639 485225452 515136610 606531815 894011278 1030273220 1213063630 1788022556 2235028195 2426127260 3760497253 4470056390 7520994506 8940112780 13857174809 15041989012 18802486265 27714349618 32631411647 37604972530 55428699236 65262823294 69285874045 75209945060 130525646588 138571748090 163157058235 277143496180 326314116470 652628232940 1011573761057 2023147522114 4046295044228 5057868805285 10115737610570 20231475221140