Search a number
-
+
20221011120 = 2435831277993
BaseRepresentation
bin10010110101010001…
…000010010010110000
31221012020101210111210
4102311101002102300
5312403034323440
613142302240120
71314044521122
oct226521022260
957166353453
1020221011120
118637262a42
123b03b86040
131ba340a64b
14d9b7b7212
157d5375a80
hex4b54424b0

20221011120 has 160 divisors (see below), whose sum is σ = 63947907072. Its totient is φ = 5284694016.

The previous prime is 20221011119. The next prime is 20221011143. The reversal of 20221011120 is 2111012202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 20221011096 and 20221011105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2525844 + ... + 2533836.

Almost surely, 220221011120 is an apocalyptic number.

20221011120 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 20221011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31973953536).

20221011120 is an abundant number, since it is smaller than the sum of its proper divisors (43726895952).

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

20221011120 is a wasteful number, since it uses less digits than its factorization.

20221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8219 (or 8213 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 20221011120 its reverse (2111012202), we get a palindrome (22332023322).

The spelling of 20221011120 in words is "twenty billion, two hundred twenty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 127 166 240 249 254 332 381 415 498 508 635 664 762 830 996 1016 1245 1270 1328 1524 1660 1905 1992 2032 2490 2540 3048 3320 3810 3984 4980 5080 6096 6640 7620 7993 9960 10160 10541 15240 15986 19920 21082 23979 30480 31623 31972 39965 42164 47958 52705 63246 63944 79930 84328 95916 105410 119895 126492 127888 158115 159860 168656 191832 210820 239790 252984 316230 319720 383664 421640 479580 505968 632460 639440 663419 843280 959160 1015111 1264920 1326838 1918320 1990257 2030222 2529840 2653676 3045333 3317095 3980514 4060444 5075555 5307352 6090666 6634190 7961028 8120888 9951285 10151110 10614704 12181332 13268380 15226665 15922056 16241776 19902570 20302220 24362664 26536760 30453330 31844112 39805140 40604440 48725328 53073520 60906660 79610280 81208880 84254213 121813320 159220560 168508426 243626640 252762639 337016852 421271065 505525278 674033704 842542130 1011050556 1263813195 1348067408 1685084260 2022101112 2527626390 3370168520 4044202224 5055252780 6740337040 10110505560 20221011120