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201101122092 = 223132353280913
BaseRepresentation
bin1011101101001010001…
…1111001101000101100
3201020002002020111001010
42323102203321220230
511243323341401332
6232215022545220
720346321222333
oct2732243715054
9636062214033
10201101122092
1178317382562
1232b84438210
1315c6b4a3800
149a3a432d1a
15536ee7c9cc
hex2ed28f9a2c

201101122092 has 72 divisors (see below), whose sum is σ = 509548780944. Its totient is φ = 61701758976.

The previous prime is 201101122091. The next prime is 201101122093. The reversal of 201101122092 is 290221101102.

It is an interprime number because it is at equal distance from previous prime (201101122091) and next prime (201101122093).

It is a super-2 number, since 2×2011011220922 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201101122091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575428 + ... + 856340.

It is an arithmetic number, because the mean of its divisors is an integer number (7077066402).

Almost surely, 2201101122092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201101122092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254774390472).

201101122092 is an abundant number, since it is smaller than the sum of its proper divisors (308447658852).

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

201101122092 is a wasteful number, since it uses less digits than its factorization.

201101122092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281299 (or 281284 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 201101122092 its reverse (290221101102), we get a palindrome (491322223194).

The spelling of 201101122092 in words is "two hundred one billion, one hundred one million, one hundred twenty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 353 507 676 706 1014 1059 1412 2028 2118 4236 4589 9178 13767 18356 27534 55068 59657 119314 178971 238628 280913 357942 561826 715884 842739 1123652 1685478 3370956 3651869 7303738 10955607 14607476 21911214 43822428 47474297 94948594 99162289 142422891 189897188 198324578 284845782 297486867 396649156 569691564 594973734 1189947468 1289109757 2578219514 3867329271 5156439028 7734658542 15469317084 16758426841 33516853682 50275280523 67033707364 100550561046 201101122092