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20022021011100 = 22352277293822317
BaseRepresentation
bin1001000110101101111010…
…11100110011011010011100
32121220002100001212202221110
410203112331130303122130
510111020044334323400
6110325553420502020
74134354226360263
oct443267534633234
977802301782843
1020022021011100
11641a322984669
1222b449a3aa910
13b230b75b1414
144d30dcb0b5da
1524ac43264e50
hex1235bd73369c

20022021011100 has 144 divisors (see below), whose sum is σ = 58338015065568. Its totient is φ = 5301767285760.

The previous prime is 20022021011099. The next prime is 20022021011107. The reversal of 20022021011100 is 111012022002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022021011107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23937142 + ... + 24759458.

It is an arithmetic number, because the mean of its divisors is an integer number (405125104622).

Almost surely, 220022021011100 is an apocalyptic number.

20022021011100 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 20022021011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29169007532784).

20022021011100 is an abundant number, since it is smaller than the sum of its proper divisors (38315994054468).

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

20022021011100 is a wasteful number, since it uses less digits than its factorization.

20022021011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822904 (or 822897 counting only the distinct ones).

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

Adding to 20022021011100 its reverse (111012022002), we get a palindrome (20133033033102).

The spelling of 20022021011100 in words is "twenty trillion, twenty-two billion, twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 277 293 300 554 586 831 879 1108 1172 1385 1465 1662 1758 2770 2930 3324 3516 4155 4395 5540 5860 6925 7325 8310 8790 13850 14650 16620 17580 20775 21975 27700 29300 41550 43950 81161 83100 87900 162322 243483 324644 405805 486966 811610 822317 973932 1217415 1623220 1644634 2029025 2434830 2466951 3289268 4058050 4111585 4869660 4933902 6087075 8116100 8223170 9867804 12174150 12334755 16446340 20557925 24348300 24669510 41115850 49339020 61673775 82231700 123347550 227781809 240938881 246695100 455563618 481877762 683345427 722816643 911127236 963755524 1138909045 1204694405 1366690854 1445633286 2277818090 2409388810 2733381708 2891266572 3416727135 3614083215 4555636180 4818777620 5694545225 6023472025 6833454270 7228166430 11389090450 12046944050 13666908540 14456332860 17083635675 18070416075 22778180900 24093888100 34167271350 36140832150 66740070037 68334542700 72281664300 133480140074 200220210111 266960280148 333700350185 400440420222 667400700370 800880840444 1001101050555 1334801400740 1668501750925 2002202101110 3337003501850 4004404202220 5005505252775 6674007003700 10011010505550 20022021011100