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202001221000 = 23531018119841
BaseRepresentation
bin1011110000100000110…
…1100000010110001000
3201022101210221020121201
42330020031200112020
511302144303033000
6232444215113544
720410531022365
oct2741015402610
9638353836551
10202001221000
1178739472157
12331959728b4
1316082b03207
149ac3bb746c
1553c3ec896a
hex2f08360588

202001221000 has 64 divisors (see below), whose sum is σ = 472753110960. Its totient is φ = 80788480000.

The previous prime is 202001220997. The next prime is 202001221001. The reversal of 202001221000 is 122100202.

It can be written as a sum of positive squares in 8 ways, for example, as 2830027204 + 199171193796 = 53198^2 + 446286^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (202001221001) 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, 10171080 + ... + 10190920.

Almost surely, 2202001221000 is an apocalyptic number.

202001221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202001221000 is an abundant number, since it is smaller than the sum of its proper divisors (270751889960).

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

202001221000 is a wasteful number, since it uses less digits than its factorization.

202001221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30043 (or 30029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202001221000 its reverse (122100202), we get a palindrome (202123321202).

The spelling of 202001221000 in words is "two hundred two billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 10181 19841 20362 39682 40724 50905 79364 81448 99205 101810 158728 198410 203620 254525 396820 407240 496025 509050 793640 992050 1018100 1272625 1984100 2036200 2480125 2545250 3968200 4960250 5090500 9920500 10181000 19841000 202001221 404002442 808004884 1010006105 1616009768 2020012210 4040024420 5050030525 8080048840 10100061050 20200122100 25250152625 40400244200 50500305250 101000610500 202001221000