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221020121210020 = 225113727152349043
BaseRepresentation
bin110010010000010001000001…
…110100000001110010100100
31001222120022120021010100211221
4302100101001310001302210
5212432143202012210040
62102023124133310124
764361114433503356
oct6220210164016244
91058508507110757
10221020121210020
116447311a493170
122095721b495344
139643153374982
143c816067230d6
151a84391d9b74a
hexc90441d01ca4

221020121210020 has 48 divisors (see below), whose sum is σ = 520021788890688. Its totient is φ = 78198765240960.

The previous prime is 221020121209967. The next prime is 221020121210023. The reversal of 221020121210020 is 20012121020122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221020121209976 and 221020121210003.

It is not an unprimeable number, because it can be changed into a prime (221020121210023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13576166382 + ... + 13576182661.

It is an arithmetic number, because the mean of its divisors is an integer number (10833787268556).

Almost surely, 2221020121210020 is an apocalyptic number.

221020121210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221020121210020 is an abundant number, since it is smaller than the sum of its proper divisors (299001667680668).

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

221020121210020 is a wasteful number, since it uses less digits than its factorization.

221020121210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27152349100 (or 27152349098 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221020121210020 its reverse (20012121020122), we get a palindrome (241032242230142).

The spelling of 221020121210020 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-one million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 27152349043 54304698086 108609396172 135761745215 271523490430 298675839473 543046980860 597351678946 1004636914591 1194703357892 1493379197365 2009273829182 2986758394730 4018547658364 5023184572955 5973516789460 10046369145910 11051006060501 20092738291820 22102012121002 44204024242004 55255030302505 110510060605010 221020121210020