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211311143420 = 225131768369997
BaseRepresentation
bin1100010011001100100…
…0000010100111111100
3202012102122012022021012
43010303020002213330
511430231123042140
6241024111054352
721160326040346
oct3046310024774
9665378168235
10211311143420
11816866a4713
1234b538113b8
1316c07846750
14a328426296
15576b4c4265
hex31332029fc

211311143420 has 96 divisors (see below), whose sum is σ = 506747441088. Its totient is φ = 73324449792.

The previous prime is 211311143411. The next prime is 211311143441. The reversal of 211311143420 is 24341113112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2983862 + ... + 3053858.

It is an arithmetic number, because the mean of its divisors is an integer number (5278619178).

Almost surely, 2211311143420 is an apocalyptic number.

211311143420 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 211311143420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253373720544).

211311143420 is an abundant number, since it is smaller than the sum of its proper divisors (295436297668).

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

211311143420 is a wasteful number, since it uses less digits than its factorization.

211311143420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70719 (or 70717 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211311143420 its reverse (24341113112), we get a palindrome (235652256532).

The spelling of 211311143420 in words is "two hundred eleven billion, three hundred eleven million, one hundred forty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 683 884 1105 1366 2210 2732 3415 4420 6830 8879 11611 13660 17758 23222 35516 44395 46444 58055 69997 88790 116110 139994 150943 177580 232220 279988 301886 349985 603772 699970 754715 909961 1189949 1399940 1509430 1819922 2379898 3018860 3639844 4549805 4759796 5949745 9099610 11899490 15469337 18199220 23798980 30938674 47807951 61877348 77346685 95615902 154693370 191231804 239039755 309386740 478079510 621503363 812735167 956159020 1243006726 1625470334 2486013452 3107516815 3250940668 4063675835 6215033630 8127351670 10565557171 12430067260 16254703340 21131114342 42262228684 52827785855 105655571710 211311143420