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20012221011020 = 22571793472301361
BaseRepresentation
bin1001000110011011101010…
…10100110001010001001100
32121212011001002110012010112
410203031311110301101030
510110340012034323040
6110321253140455152
74133556330632420
oct443156524612114
977764032405115
1020012221011020
116416154052547
1222b26043aa4b8
13b221b517b1c4
144d284d36ab80
1524a86cc11365
hex12337553144c

20012221011020 has 96 divisors (see below), whose sum is σ = 48436858068480. Its totient is φ = 6803335664640.

The previous prime is 20012221011011. The next prime is 20012221011059. The reversal of 20012221011020 is 2011012221002.

It is a super-2 number, since 2×200122210110202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20012221010986 and 20012221011004.

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, 7545140 + ... + 9846500.

It is an arithmetic number, because the mean of its divisors is an integer number (504550604880).

Almost surely, 220012221011020 is an apocalyptic number.

20012221011020 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 20012221011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24218429034240).

20012221011020 is an abundant number, since it is smaller than the sum of its proper divisors (28424637057460).

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

20012221011020 is a wasteful number, since it uses less digits than its factorization.

20012221011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301903 (or 2301901 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20012221011020 its reverse (2011012221002), we get a palindrome (22023233232022).

The spelling of 20012221011020 in words is "twenty trillion, twelve billion, two hundred twenty-one million, eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 347 358 694 716 895 1253 1388 1735 1790 2429 2506 3470 3580 4858 5012 6265 6940 9716 12145 12530 24290 25060 48580 62113 124226 248452 310565 434791 621130 869582 1242260 1739164 2173955 2301361 4347910 4602722 8695820 9205444 11506805 16109527 23013610 32219054 46027220 64438108 80547635 161095270 322190540 411943619 798572267 823887238 1597144534 1647774476 2059718095 2883605333 3194289068 3992861335 4119436190 5590005869 5767210666 7985722670 8238872380 11180011738 11534421332 14418026665 15971445340 22360023476 27950029345 28836053330 55900058690 57672106660 111800117380 142944435793 285888871586 571777743172 714722178965 1000611050551 1429444357930 2001222101102 2858888715860 4002444202204 5003055252755 10006110505510 20012221011020