Search a number
-
+
211012010331320 = 235111761462461669
BaseRepresentation
bin101111111110101000001111…
…111010110100110010111000
31000200010112212210211210010202
4233332220033322310302320
5210124210044121100240
62024441325044101332
762306054216604302
oct5776501772646270
91020115783753122
10211012010331320
116126476683aa10
121b7bb65b394848
139098468a24053
143a17070306972
15195dd8ed5a315
hexbfea0feb4cb8

211012010331320 has 128 divisors (see below), whose sum is σ = 557395801617600. Its totient is φ = 71034112204800.

The previous prime is 211012010331319. The next prime is 211012010331379. The reversal of 211012010331320 is 23133010210112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211012010331292 and 211012010331301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230774555 + ... + 231687114.

Almost surely, 2211012010331320 is an apocalyptic number.

211012010331320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211012010331320 is an abundant number, since it is smaller than the sum of its proper divisors (346383791286280).

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

211012010331320 is a wasteful number, since it uses less digits than its factorization.

211012010331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462461769 (or 462461765 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 211012010331320 its reverse (23133010210112), we get a palindrome (234145020541432).

The spelling of 211012010331320 in words is "two hundred eleven trillion, twelve billion, ten million, three hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 61 68 85 88 110 122 136 170 187 220 244 305 340 374 440 488 610 671 680 748 935 1037 1220 1342 1496 1870 2074 2440 2684 3355 3740 4148 5185 5368 6710 7480 8296 10370 11407 13420 20740 22814 26840 41480 45628 57035 91256 114070 228140 456280 462461669 924923338 1849846676 2312308345 3699693352 4624616690 5087078359 7861848373 9249233380 10174156718 15723696746 18498466760 20348313436 25435391795 28210161809 31447393492 39309241865 40696626872 50870783590 56420323618 62894786984 78618483730 86480332103 101741567180 112840647236 141050809045 157236967460 172960664206 203483134360 225681294472 282101618090 310311779899 314473934920 345921328412 432401660515 479572750753 564203236180 620623559798 691842656824 864803321030 959145501506 1128406472360 1241247119596 1551558899495 1729606642060 1918291003012 2397863753765 2482494239192 3103117798990 3459213284120 3836582006024 4795727507530 5275300258283 6206235597980 9591455015060 10550600516566 12412471195960 19182910030120 21101201033132 26376501291415 42202402066264 52753002582830 105506005165660 211012010331320