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20010221001020 = 22523223251777169
BaseRepresentation
bin1001000110010111111100…
…00111010101100100111100
32121211221212201002011012002
410203023332013111210330
510110321413034013040
6110320322453401432
74133455634056445
oct443137607254474
977757781064162
1020010221001020
1164153180a9418
1222b2146639278
13b21c569cc433
144d26dd8ac2cc
1524a7a234aa15
hex1232fe1d593c

20010221001020 has 96 divisors (see below), whose sum is σ = 44220649697280. Its totient is φ = 7591377024000.

The previous prime is 20010221001019. The next prime is 20010221001103. The reversal of 20010221001020 is 2010012201002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20010221000992 and 20010221001010.

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, 25358996 + ... + 26136164.

It is an arithmetic number, because the mean of its divisors is an integer number (460631767680).

Almost surely, 220010221001020 is an apocalyptic number.

20010221001020 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 20010221001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22110324848640).

20010221001020 is an abundant number, since it is smaller than the sum of its proper divisors (24210428696260).

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

20010221001020 is a wasteful number, since it uses less digits than its factorization.

20010221001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777675 (or 777673 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20010221001020 its reverse (2010012201002), we get a palindrome (22020233202022).

The spelling of 20010221001020 in words is "twenty trillion, ten billion, two hundred twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 223 230 251 446 460 502 892 1004 1115 1255 2230 2510 4460 5020 5129 5773 10258 11546 20516 23092 25645 28865 51290 55973 57730 102580 111946 115460 223892 279865 559730 777169 1119460 1287379 1554338 2574758 3108676 3885845 5149516 6436895 7771690 12873790 15543380 17874887 25747580 35749774 71499548 89374435 173308687 178748870 195069419 346617374 357497740 390138838 693234748 780277676 866543435 975347095 1733086870 1950694190 3466173740 3901388380 3986099801 4486596637 7972199602 8973193274 15944399204 17946386548 19930499005 22432983185 39860998010 43500480437 44865966370 79721996020 87000960874 89731932740 174001921748 217502402185 435004804370 870009608740 1000511050051 2001022100102 4002044200204 5002555250255 10005110500510 20010221001020