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211202413020 = 223257372722109
BaseRepresentation
bin1100010010110010100…
…1010001000111011100
3202012011001121020012100
43010230221101013130
511430020304204040
6241005224405100
721154535614164
oct3045451210734
9665131536170
10211202413020
118163028a985
1234b23316790
1316bbb167231
14a317c015a4
155761b97b30
hex312ca511dc

211202413020 has 144 divisors (see below), whose sum is σ = 650346016320. Its totient is φ = 55470210048.

The previous prime is 211202413003. The next prime is 211202413021. The reversal of 211202413020 is 20314202112.

It is a happy number.

211202413020 is a `hidden beast` number, since 2 + 1 + 120 + 241 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211202412984 and 211202413002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211202413021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9541726 + ... + 9563834.

It is an arithmetic number, because the mean of its divisors is an integer number (4516291780).

Almost surely, 2211202413020 is an apocalyptic number.

211202413020 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 211202413020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325173008160).

211202413020 is an abundant number, since it is smaller than the sum of its proper divisors (439143603300).

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

211202413020 is a wasteful number, since it uses less digits than its factorization.

211202413020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22924 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 211202413020 its reverse (20314202112), we get a palindrome (231516615132).

The spelling of 211202413020 in words is "two hundred eleven billion, two hundred two million, four hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 727 730 876 1095 1314 1454 1460 2181 2190 2628 2908 3285 3635 4362 4380 6543 6570 7270 8724 10905 13086 13140 14540 21810 22109 26172 32715 43620 44218 53071 65430 66327 88436 106142 110545 130860 132654 159213 198981 212284 221090 265308 265355 318426 331635 397962 442180 477639 530710 636852 663270 795924 796065 955278 994905 1061420 1326540 1592130 1613957 1910556 1989810 2388195 3184260 3227914 3979620 4776390 4841871 6455828 8069785 9552780 9683742 14525613 16073243 16139570 19367484 24209355 29051226 32146486 32279140 48219729 48418710 58102452 64292972 72628065 80366215 96439458 96837420 144659187 145256130 160732430 192878916 241098645 289318374 290512260 321464860 482197290 578636748 723295935 964394580 1173346739 1446591870 2346693478 2893183740 3520040217 4693386956 5866733695 7040080434 10560120651 11733467390 14080160868 17600201085 21120241302 23466934780 35200402170 42240482604 52800603255 70400804340 105601206510 211202413020