Search a number
-
+
201022110020 = 225231274018581
BaseRepresentation
bin1011101100110111011…
…0011111100101000100
3201012212120120020212002
42323031312133211010
511243143130010040
6232203121244432
720344341512414
oct2731566374504
9635776506762
10201022110020
1178286816626
1232b61a93718
1315c57ccacc4
149a2db46644
155368071a15
hex2ecdd9f944

201022110020 has 96 divisors (see below), whose sum is σ = 445128155136. Its totient is φ = 76108032000.

The previous prime is 201022110011. The next prime is 201022110031. The reversal of 201022110020 is 20011220102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201022109983 and 201022110010.

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, 23422130 + ... + 23430710.

It is an arithmetic number, because the mean of its divisors is an integer number (4636751616).

Almost surely, 2201022110020 is an apocalyptic number.

201022110020 is a gapful number since it is divisible by the number (20) 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 201022110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222564077568).

201022110020 is an abundant number, since it is smaller than the sum of its proper divisors (244106045116).

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

201022110020 is a wasteful number, since it uses less digits than its factorization.

201022110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9141 (or 9139 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201022110020 its reverse (20011220102), we get a palindrome (221033330122).

The spelling of 201022110020 in words is "two hundred one billion, twenty-two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 127 230 254 401 460 508 635 802 1270 1604 2005 2540 2921 4010 5842 8020 8581 9223 11684 14605 17162 18446 29210 34324 36892 42905 46115 50927 58420 85810 92230 101854 171620 184460 197363 203708 254635 394726 509270 789452 986815 1018540 1089787 1171321 1973630 2179574 2342642 3440981 3947260 4359148 4685284 5448935 5856605 6881962 10897870 11713210 13763924 17204905 21795740 23426420 25065101 34409810 50130202 68819620 79142563 100260404 125325505 158285126 250651010 316570252 395712815 437004587 501302020 791425630 874009174 1582851260 1748018348 2185022935 4370045870 8740091740 10051105501 20102211002 40204422004 50255527505 100511055010 201022110020