Search a number
-
+
202055131110 = 235783110910453
BaseRepresentation
bin1011110000101101101…
…1001001111111100110
3201022112120101011101110
42330023123021333212
511302302103143420
6232453422405450
720412054163620
oct2741333117746
9638476334343
10202055131110
1178766943668
12331aba30886
131609102a2a1
149acb00bc10
1553c8ac6ee0
hex2f0b6c9fe6

202055131110 has 128 divisors (see below), whose sum is σ = 561445032960. Its totient is φ = 45582091776.

The previous prime is 202055131097. The next prime is 202055131127. The reversal of 202055131110 is 11131550202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19324644 + ... + 19335096.

It is an arithmetic number, because the mean of its divisors is an integer number (4386289320).

Almost surely, 2202055131110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202055131110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280722516480).

202055131110 is an abundant number, since it is smaller than the sum of its proper divisors (359389901850).

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

202055131110 is a wasteful number, since it uses less digits than its factorization.

202055131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11662.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 202055131110 its reverse (11131550202), we get a palindrome (213186681312).

The spelling of 202055131110 in words is "two hundred two billion, fifty-five million, one hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1109 1162 1245 1743 2218 2490 2905 3327 3486 5545 5810 6654 7763 8715 10453 11090 15526 16635 17430 20906 23289 31359 33270 38815 46578 52265 62718 73171 77630 92047 104530 116445 146342 156795 184094 219513 232890 276141 313590 365855 439026 460235 552282 644329 731710 867599 920470 1097565 1288658 1380705 1735198 1932987 2195130 2602797 2761410 3221645 3865974 4337995 5205594 6073193 6443290 8675990 9664935 11592377 12146386 13013985 18219579 19329870 23184754 26027970 30365965 34777131 36439158 57961885 60731930 69554262 81146639 91097895 115923770 162293278 173885655 182195790 243439917 347771310 405733195 486879834 811466390 962167291 1217199585 1924334582 2434399170 2886501873 4810836455 5773003746 6735171037 9621672910 13470342074 14432509365 20205513111 28865018730 33675855185 40411026222 67351710370 101027565555 202055131110