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202021121020 = 2251979107109577
BaseRepresentation
bin1011110000100101100…
…1011010101111111100
3201022110012101021022111
42330021121122233330
511302214401333040
6232450205423404
720411162124055
oct2741131325774
9638405337274
10202021121020
1178749724354
12331a056ab64
1316086c7cc84
149ac66b772c
1553c5b09dea
hex2f0965abfc

202021121020 has 192 divisors, whose sum is σ = 461438208000. Its totient is φ = 74064347136.

The previous prime is 202021120969. The next prime is 202021121047. The reversal of 202021121020 is 20121120202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 350122972 + ... + 350123548.

It is an arithmetic number, because the mean of its divisors is an integer number (2403324000).

Almost surely, 2202021121020 is an apocalyptic number.

202021121020 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 202021121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230719104000).

202021121020 is an abundant number, since it is smaller than the sum of its proper divisors (259417086980).

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

202021121020 is a wasteful number, since it uses less digits than its factorization.

202021121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

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

Adding to 202021121020 its reverse (20121120202), we get a palindrome (222142241222).

The spelling of 202021121020 in words is "two hundred two billion, twenty-one million, one hundred twenty-one thousand, twenty".