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20221141431120 = 2435724419492911
BaseRepresentation
bin1001001100100000110011…
…11100111011001101010000
32122121010022010002011112120
410212100121330323031100
510122300344201243440
6111001244130254240
74154633510124210
oct446203174731520
978533263064476
1020221141431120
1164968131a0363
122326bab427380
13b38acb606566
144dc9cc06a240
15250ee9392dd0
hex126419f3b350

20221141431120 has 160 divisors (see below), whose sum is σ = 71643694510080. Its totient is φ = 4621776529920.

The previous prime is 20221141431091. The next prime is 20221141431157. The reversal of 20221141431120 is 2113414112202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40777465 + ... + 41270375.

It is an arithmetic number, because the mean of its divisors is an integer number (447773090688).

Almost surely, 220221141431120 is an apocalyptic number.

20221141431120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221141431120 is an abundant number, since it is smaller than the sum of its proper divisors (51422553078960).

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

20221141431120 is a wasteful number, since it uses less digits than its factorization.

20221141431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517353 (or 517347 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20221141431120 its reverse (2113414112202), we get a palindrome (22334555543322).

The spelling of 20221141431120 in words is "twenty trillion, two hundred twenty-one billion, one hundred forty-one million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 24419 48838 73257 97676 122095 146514 170933 195352 244190 293028 341866 366285 390704 488380 492911 512799 586056 683732 732570 854665 976760 985822 1025598 1172112 1367464 1465140 1478733 1709330 1953520 1971644 2051196 2464555 2563995 2734928 2930280 2957466 3418660 3450377 3943288 4102392 4929110 5127990 5860560 5914932 6837320 6900754 7393665 7886576 8204784 9858220 10255980 10351131 11829864 13674640 13801508 14787330 17251885 19716440 20511960 20702262 23659728 27603016 29574660 34503770 39432880 41023920 41404524 51755655 55206032 59149320 69007540 82809048 103511310 118298640 138015080 165618096 207022620 276030160 414045240 828090480 12036393709 24072787418 36109181127 48145574836 60181968545 72218362254 84254755963 96291149672 120363937090 144436724508 168509511926 180545905635 192582299344 240727874180 252764267889 288873449016 337019023852 361091811270 421273779815 481455748360 505528535778 577746898032 674038047704 722183622540 842547559630 962911496720 1011057071556 1263821339445 1348076095408 1444367245080 1685095119260 2022114143112 2527642678890 2888734490160 3370190238520 4044228286224 5055285357780 6740380477040 10110570715560 20221141431120