Search a number
-
+
20000122112020 = 22531661112343457
BaseRepresentation
bin1001000110000101001000…
…01011001000100000010100
32121210222210220020102212011
410203002210023020200110
510110140222230041040
6110311532415234004
74132650445660411
oct443024413104024
977728726212764
1020000122112020
116411005591666
1222b01a8518904
13b2100769a07b
144d2022567108
1524a3b09573ea
hex1230a42c8814

20000122112020 has 96 divisors (see below), whose sum is σ = 43460358552576. Its totient is φ = 7723208908800.

The previous prime is 20000122111997. The next prime is 20000122112021. The reversal of 20000122112020 is 2021122100002.

It is a happy number.

It is a super-2 number, since 2×200001221120202 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20000122112021) 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, 460206132 + ... + 460249588.

It is an arithmetic number, because the mean of its divisors is an integer number (452712068256).

Almost surely, 220000122112020 is an apocalyptic number.

20000122112020 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 20000122112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21730179276288).

20000122112020 is an abundant number, since it is smaller than the sum of its proper divisors (23460236440556).

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

20000122112020 is a wasteful number, since it uses less digits than its factorization.

20000122112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45281 (or 45279 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20000122112020 its reverse (2021122100002), we get a palindrome (22021244212022).

The spelling of 20000122112020 in words is "twenty trillion, one hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 661 1123 1322 2246 2644 3305 4492 5615 6610 11230 13220 20491 22460 34813 40982 43457 69626 81964 86914 102455 139252 173828 174065 204910 217285 348130 409820 434570 696260 742303 869140 1347167 1484606 2694334 2969212 3711515 5388668 6735835 7423030 13471670 14846060 23011393 26943340 28725077 46022786 48802211 57450154 92045572 97604422 114900308 115056965 143625385 195208844 230113930 244011055 287250770 460227860 488022110 574501540 890477387 976044220 1512868541 1780954774 3025737082 3561909548 4452386935 6051474164 7564342705 8904773870 15128685410 17809547740 30257370820 32258261471 64516522942 129033045884 161291307355 322582614710 645165229420 1000006105601 2000012211202 4000024422404 5000030528005 10000061056010 20000122112020