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101334220 = 225131973281
BaseRepresentation
bin1100000101000…
…11110011001100
321001200022102021
412002203303030
5201420143340
614015535524
72340220021
oct602436314
9231608367
10101334220
1152222999
1229b2a5a4
1317cbcba0
14d65b548
158d69e4a
hex60a3ccc

101334220 has 96 divisors (see below), whose sum is σ = 245407680. Its totient is φ = 34836480.

The previous prime is 101334199. The next prime is 101334221. The reversal of 101334220 is 22433101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101334194 and 101334203.

It is not an unprimeable number, because it can be changed into a prime (101334221) 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, 360480 + ... + 360760.

It is an arithmetic number, because the mean of its divisors is an integer number (2556330).

Almost surely, 2101334220 is an apocalyptic number.

101334220 is a gapful number since it is divisible by the number (10) 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 101334220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122703840).

101334220 is an abundant number, since it is smaller than the sum of its proper divisors (144073460).

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

101334220 is a wasteful number, since it uses less digits than its factorization.

101334220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 101334220 is about 10066.4899542989. The cubic root of 101334220 is about 466.2140702618.

Adding to 101334220 its reverse (22433101), we get a palindrome (123767321).

The spelling of 101334220 in words is "one hundred one million, three hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 73 76 95 130 146 190 247 260 281 292 365 380 494 562 730 949 988 1124 1235 1387 1405 1460 1898 2470 2774 2810 3653 3796 4745 4940 5339 5548 5620 6935 7306 9490 10678 13870 14612 18031 18265 18980 20513 21356 26695 27740 36062 36530 41026 53390 69407 72124 73060 82052 90155 102565 106780 138814 180310 205130 266669 277628 347035 360620 389747 410260 533338 694070 779494 1066676 1333345 1388140 1558988 1948735 2666690 3897470 5066711 5333380 7794940 10133422 20266844 25333555 50667110 101334220