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10201001221000 = 235357117865151
BaseRepresentation
bin1001010001110001101100…
…0011011101101110001000
31100010012120022111020100001
42110130123003131232020
52314113122303033000
633410135242452344
72101666214466052
oct224343303355610
940105508436301
1010201001221000
113283247282397
1211890328040b4
1358cc47a21555
14273a341988d2
1512a54123a46a
hex9471b0ddb88

10201001221000 has 64 divisors (see below), whose sum is σ = 23912148648960. Its totient is φ = 4073254200000.

The previous prime is 10201001220973. The next prime is 10201001221013. The reversal of 10201001221000 is 12210010201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8361576 + ... + 9503575.

It is an arithmetic number, because the mean of its divisors is an integer number (373627322640).

Almost surely, 210201001221000 is an apocalyptic number.

10201001221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201001221000 is an abundant number, since it is smaller than the sum of its proper divisors (13711147427960).

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

10201001221000 is a wasteful number, since it uses less digits than its factorization.

10201001221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17865743 (or 17865729 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201001221000 its reverse (12210010201), we get a palindrome (10213211231201).

The spelling of 10201001221000 in words is "ten trillion, two hundred one billion, one million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 571 1000 1142 2284 2855 4568 5710 11420 14275 22840 28550 57100 71375 114200 142750 285500 571000 17865151 35730302 71460604 89325755 142921208 178651510 357303020 446628775 714606040 893257550 1786515100 2233143875 3573030200 4466287750 8932575500 10201001221 17865151000 20402002442 40804004884 51005006105 81608009768 102010012210 204020024420 255025030525 408040048840 510050061050 1020100122100 1275125152625 2040200244200 2550250305250 5100500610500 10201001221000