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10201001100220 = 2257312350461083
BaseRepresentation
bin1001010001110001101100…
…0011000000001110111100
31100010012120022021002122201
42110130123003000032330
52314113122240201340
633410135240121244
72101666213453660
oct224343303001674
940105508232581
1010201001100220
1132832471aa677
121189032766224
1358cc479ab598
14273a341668a0
1512a54121479a
hex9471b0c03bc

10201001100220 has 48 divisors (see below), whose sum is σ = 25272157575168. Its totient is φ = 3384663958080.

The previous prime is 10201001100211. The next prime is 10201001100223. The reversal of 10201001100220 is 2200110010201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201001100197 and 10201001100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201001100223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1175226202 + ... + 1175234881.

It is an arithmetic number, because the mean of its divisors is an integer number (526503282816).

Almost surely, 210201001100220 is an apocalyptic number.

10201001100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201001100220 is an abundant number, since it is smaller than the sum of its proper divisors (15071156474948).

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

10201001100220 is a wasteful number, since it uses less digits than its factorization.

10201001100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350461130 (or 2350461128 counting only the distinct ones).

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

Adding to 10201001100220 its reverse (2200110010201), we get a palindrome (12401111110421).

The spelling of 10201001100220 in words is "ten trillion, two hundred one billion, one million, one hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 2350461083 4700922166 9401844332 11752305415 16453227581 23504610830 32906455162 47009221660 65812910324 72864293573 82266137905 145728587146 164532275810 291457174292 329064551620 364321467865 510050055011 728642935730 1020100110022 1457285871460 2040200220044 2550250275055 5100500550110 10201001100220