Search a number
-
+
201122020120 = 235719197191903
BaseRepresentation
bin1011101101001111001…
…1100111101100011000
3201020010112120012202011
42323103303213230120
511243344214120440
6232221050515304
720346663651460
oct2732363475430
9636115505664
10201122020120
117832815655a
1232b8b435b34
1315c7290c8c8
149a3d112ba0
155371c099ea
hex2ed3ce7b18

201122020120 has 128 divisors (see below), whose sum is σ = 547156684800. Its totient is φ = 64994904576.

The previous prime is 201122020109. The next prime is 201122020123. The reversal of 201122020120 is 21020221102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201122020120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952089 + ... + 1143991.

It is an arithmetic number, because the mean of its divisors is an integer number (4274661600).

Almost surely, 2201122020120 is an apocalyptic number.

201122020120 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 201122020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273578342400).

201122020120 is an abundant number, since it is smaller than the sum of its proper divisors (346034664680).

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

201122020120 is a wasteful number, since it uses less digits than its factorization.

201122020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192137 (or 192133 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201122020120 its reverse (21020221102), we get a palindrome (222142241222).

The spelling of 201122020120 in words is "two hundred one billion, one hundred twenty-two million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 133 140 152 190 197 266 280 380 394 532 665 760 788 985 1064 1330 1379 1576 1970 2660 2758 3743 3940 5320 5516 6895 7486 7880 11032 13790 14972 18715 26201 27580 29944 37430 52402 55160 74860 104804 131005 149720 191903 209608 262010 383806 524020 767612 959515 1048040 1343321 1535224 1919030 2686642 3646157 3838060 5373284 6716605 7292314 7676120 10746568 13433210 14584628 18230785 25523099 26866420 29169256 36461570 37804891 51046198 53732840 72923140 75609782 102092396 127615495 145846280 151219564 189024455 204184792 255230990 264634237 302439128 378048910 510461980 529268474 718292929 756097820 1020923960 1058536948 1323171185 1436585858 1512195640 2117073896 2646342370 2873171716 3591464645 5028050503 5292684740 5746343432 7182929290 10056101006 10585369480 14365858580 20112202012 25140252515 28731717160 40224404024 50280505030 100561010060 201122020120