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20020021221072 = 243231391006112967
BaseRepresentation
bin1001000110101010001100…
…10000001101011011010000
32121212220011200220220202010
410203111012100031123100
510111002000413033242
6110325023142222520
74134253534421535
oct443250620153320
977786150826663
1020020021221072
116419497070834
1222b4020724a40
13b22b591ab802
144d2d8d2a8d8c
1524ab778e489c
hex12354640d6d0

20020021221072 has 160 divisors (see below), whose sum is σ = 54364860426240. Its totient is φ = 6336154344960.

The previous prime is 20020021221061. The next prime is 20020021221073. The reversal of 20020021221072 is 27012212002002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020021221073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1543914333 + ... + 1543927299.

It is an arithmetic number, because the mean of its divisors is an integer number (339780377664).

Almost surely, 220020021221072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20020021221072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27182430213120).

20020021221072 is an abundant number, since it is smaller than the sum of its proper divisors (34344839205168).

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

20020021221072 is a wasteful number, since it uses less digits than its factorization.

20020021221072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23201 (or 23195 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

Adding to 20020021221072 its reverse (27012212002002), we get a palindrome (47032233223074).

The spelling of 20020021221072 in words is "twenty trillion, twenty billion, twenty-one million, two hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 139 184 276 278 368 417 552 556 834 1104 1112 1668 2224 3197 3336 6394 6672 9591 10061 12788 12967 19182 20122 25576 25934 30183 38364 38901 40244 51152 51868 60366 76728 77802 80488 103736 120732 153456 155604 160976 207472 231403 241464 298241 311208 462806 482928 596482 622416 694209 894723 925612 1192964 1388418 1398479 1789446 1802413 1851224 2385928 2776836 2796958 3578892 3604826 3702448 4195437 4771856 5407239 5553672 5593916 7157784 7209652 8390874 10814478 11107344 11187832 14315568 14419304 16781748 21628956 22375664 28838608 32165017 33563496 41455499 43257912 64330034 67126992 82910998 86515824 96495051 124366497 128660068 130460987 165821996 192990102 248732994 257320136 260921974 331643992 385980204 391382961 497465988 514640272 521843948 663287984 771960408 782765922 994931976 1043687896 1543920816 1565531844 1989863952 2087375792 3000602701 3131063688 6001205402 6262127376 9001808103 12002410804 18003616206 18134077193 24004821608 36007232412 36268154386 48009643216 54402231579 72014464824 72536308772 108804463158 144028929648 145072617544 217608926316 290145235088 417083775439 435217852632 834167550878 870435705264 1251251326317 1668335101756 2502502652634 3336670203512 5005005305268 6673340407024 10010010610536 20020021221072