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201001101220020 = 223573443711034249
BaseRepresentation
bin101101101100111100110111…
…001111001101100010110100
3222100200111222100012020221010
4231230330313033031202310
5202321200223403020040
61551254344154552220
760223564444300533
oct5554746717154264
9870614870166833
10201001101220020
11590550a7607132
121a66343a138670
1388204267447aa
14378c71040631a
15183877732ce80
hexb6cf373cd8b4

201001101220020 has 96 divisors (see below), whose sum is σ = 570526124112000. Its totient is φ = 52864800491520.

The previous prime is 201001101219991. The next prime is 201001101220033. The reversal of 201001101220020 is 20022101100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201001101219978 and 201001101220005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193827856 + ... + 194862104.

It is an arithmetic number, because the mean of its divisors is an integer number (5942980459500).

Almost surely, 2201001101220020 is an apocalyptic number.

201001101220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001101220020 is an abundant number, since it is smaller than the sum of its proper divisors (369525022891980).

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

201001101220020 is a wasteful number, since it uses less digits than its factorization.

201001101220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078705 (or 1078703 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001101220020 its reverse (20022101100102), we get a palindrome (221023202320122).

The spelling of 201001101220020 in words is "two hundred one trillion, one billion, one hundred one million, two hundred twenty 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 4380 44371 88742 133113 177484 221855 266226 443710 532452 665565 887420 1034249 1331130 2068498 2662260 3102747 3239083 4136996 5171245 6205494 6478166 9717249 10342490 12410988 12956332 15513735 16195415 19434498 20684980 31027470 32390830 38868996 48586245 62054940 64781660 75500177 97172490 151000354 194344980 226500531 302000708 377500885 453001062 755001770 906002124 1132502655 1510003540 2265005310 4530010620 45890662379 91781324758 137671987137 183562649516 229453311895 275343974274 458906623790 550687948548 688359935685 917813247580 1376719871370 2753439742740 3350018353667 6700036707334 10050055061001 13400073414668 16750091768335 20100110122002 33500183536670 40200220244004 50250275305005 67000367073340 100500550610010 201001101220020