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211104322040 = 2353147277069
BaseRepresentation
bin1100010010011011001…
…1000101000111111000
3202011220020000200200002
43010212303011013320
511424320201301130
6240551402132132
721152235062513
oct3044663050770
9664806020602
10211104322040
118158a982757
1234ab64b1048
1316ba3a41631
14a308b89d7a
15575826db45
hex3126cc51f8

211104322040 has 96 divisors (see below), whose sum is σ = 500967331200. Its totient is φ = 79978087680.

The previous prime is 211104321959. The next prime is 211104322043. The reversal of 211104322040 is 40223401112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211104322043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2700626 + ... + 2777694.

It is an arithmetic number, because the mean of its divisors is an integer number (5218409700).

Almost surely, 2211104322040 is an apocalyptic number.

211104322040 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 211104322040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250483665600).

211104322040 is an abundant number, since it is smaller than the sum of its proper divisors (289863009160).

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

211104322040 is a wasteful number, since it uses less digits than its factorization.

211104322040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77205 (or 77154 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211104322040 its reverse (40223401112), we get a palindrome (251327723152).

The spelling of 211104322040 in words is "two hundred eleven billion, one hundred four million, three hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1880 2209 2914 4418 5828 7285 8836 11045 11656 14570 17672 22090 29140 44180 58280 68479 77069 88360 136958 154138 273916 308276 342395 385345 547832 616552 684790 770690 1369580 1541380 2389139 2739160 3082760 3622243 4778278 7244486 9556556 11945695 14488972 18111215 19113112 23891390 28977944 36222430 47782780 72444860 95565560 112289533 144889720 170245421 224579066 340490842 449158132 561447665 680981684 851227105 898316264 1122895330 1361963368 1702454210 2245790660 3404908420 4491581320 5277608051 6809816840 10555216102 21110432204 26388040255 42220864408 52776080510 105552161020 211104322040