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201211140 = 2235131913577
BaseRepresentation
bin10111111111000…
…11110100000100
3112000121120210110
423333203310010
5403002224030
631544353020
74662160254
oct1377436404
9460546713
10201211140
11a363a9a9
1257475770
13328bc660
141ca19964
15129e81b0
hexbfe3d04

201211140 has 96 divisors (see below), whose sum is σ = 638709120. Its totient is φ = 46918656.

The previous prime is 201211139. The next prime is 201211169. The reversal of 201211140 is 41112102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8032 + ... + 21608.

It is an arithmetic number, because the mean of its divisors is an integer number (6653220).

Almost surely, 2201211140 is an apocalyptic number.

201211140 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 201211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319354560).

201211140 is an abundant number, since it is smaller than the sum of its proper divisors (437497980).

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

201211140 is a wasteful number, since it uses less digits than its factorization.

201211140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13621 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 201211140 is about 14184.8912579547. The cubic root of 201211140 is about 585.9816377275.

Adding to 201211140 its reverse (41112102), we get a palindrome (242323242).

The spelling of 201211140 in words is "two hundred one million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 13577 14820 27154 40731 54308 67885 81462 135770 162924 176501 203655 257963 271540 353002 407310 515926 529503 706004 773889 814620 882505 1031852 1059006 1289815 1547778 1765010 2118012 2579630 2647515 3095556 3353519 3530020 3869445 5159260 5295030 6707038 7738890 10060557 10590060 13414076 15477780 16767595 20121114 33535190 40242228 50302785 67070380 100605570 201211140