Search a number
-
+
201000100211020 = 225114338954620483
BaseRepresentation
bin101101101100111011111011…
…100100101010100101001100
3222100200102101120121201201201
4231230323323210222211030
5202321141201123223040
61551254100555515244
760223530600665125
oct5554737344524514
9870612346551651
10201000100211020
1159054733564270
121a6631baa58b24
1388202c7243286
14378c6574b504c
1518387194eca9a
hexb6cefb92a94c

201000100211020 has 96 divisors (see below), whose sum is σ = 472392902741760. Its totient is φ = 71207629973760.

The previous prime is 201000100210997. The next prime is 201000100211059. The reversal of 201000100211020 is 20112001000102.

201000100211020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 201000100210988 and 201000100211006.

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, 23630302 + ... + 30990181.

It is an arithmetic number, because the mean of its divisors is an integer number (4920759403560).

Almost surely, 2201000100211020 is an apocalyptic number.

201000100211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000100211020 is an abundant number, since it is smaller than the sum of its proper divisors (271392802530740).

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

201000100211020 is a wasteful number, since it uses less digits than its factorization.

201000100211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54620935 (or 54620933 counting only the distinct ones).

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

Adding to 201000100211020 its reverse (20112001000102), we get a palindrome (221112101211122).

The spelling of 201000100211020 in words is "two hundred one trillion, one hundred million, two hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 110 172 215 220 389 430 473 778 860 946 1556 1892 1945 2365 3890 4279 4730 7780 8558 9460 16727 17116 21395 33454 42790 66908 83635 85580 167270 183997 334540 367994 735988 919985 1839970 3679940 54620483 109240966 218481932 273102415 546204830 600825313 1092409660 1201650626 2348680769 2403301252 3004126565 4697361538 6008253130 9394723076 11743403845 12016506260 21247367887 23486807690 25835488459 42494735774 46973615380 51670976918 84989471548 103341953836 106236839435 129177442295 212473678870 233721046757 258354884590 424947357740 467442093514 516709769180 913636819141 934884187028 1168605233785 1827273638282 2337210467570 3654547276564 4568184095705 4674420935140 9136368191410 10050005010551 18272736382820 20100010021102 40200020042204 50250025052755 100500050105510 201000100211020