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10201203211020 = 2235734111566539
BaseRepresentation
bin1001010001110010011100…
…0101111111101100001100
31100010020002101120101112220
42110130213011333230030
52314114031010223040
633410211300055340
72102004216412203
oct224344705775414
940106071511486
1010201203211020
1132833402a4498
12118908a394550
1358cc7a824583
14273a52d3823a
1512a553d392d0
hex9472717fb0c

10201203211020 has 96 divisors (see below), whose sum is σ = 28961742351360. Its totient is φ = 2682398799360.

The previous prime is 10201203210953. The next prime is 10201203211051. The reversal of 10201203211020 is 2011230210201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17722911 + ... + 18289449.

It is an arithmetic number, because the mean of its divisors is an integer number (301684816160).

Almost surely, 210201203211020 is an apocalyptic number.

10201203211020 is a gapful number since it is divisible by the number (10) 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 10201203211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480871175680).

10201203211020 is an abundant number, since it is smaller than the sum of its proper divisors (18760539140340).

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

10201203211020 is a wasteful number, since it uses less digits than its factorization.

10201203211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570735 (or 570733 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10201203211020 its reverse (2011230210201), we get a palindrome (12212433421221).

The spelling of 10201203211020 in words is "ten trillion, two hundred one billion, two hundred three million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 4111 4380 8222 12333 16444 20555 24666 41110 49332 61665 82220 123330 246660 300103 566539 600206 900309 1133078 1200412 1500515 1699617 1800618 2266156 2832695 3001030 3399234 3601236 4501545 5665390 6002060 6798468 8498085 9003090 11330780 16996170 18006180 33992340 41357347 82714694 124072041 165429388 206786735 248144082 413573470 496288164 620360205 827146940 1240720410 2329041829 2481440820 4658083658 6987125487 9316167316 11645209145 13974250974 23290418290 27948501948 34935627435 46580836580 69871254870 139742509740 170020053517 340040107034 510060160551 680080214068 850100267585 1020120321102 1700200535170 2040240642204 2550300802755 3400401070340 5100601605510 10201203211020