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211023213120 = 2633524423983
BaseRepresentation
bin1100010010000111110…
…1101011001001000000
3202011200120101221011000
43010201331223021000
511424133420304440
6240535343452000
721150231500406
oct3044175531100
9664616357130
10211023213120
1181549114395
1234a932b7000
1316b8ccb35a5
14a2dc0b5476
15575109b730
hex3121f6b240

211023213120 has 112 divisors (see below), whose sum is σ = 744443032320. Its totient is φ = 56272854528.

The previous prime is 211023213091. The next prime is 211023213139. The reversal of 211023213120 is 21312320112.

211023213120 is a `hidden beast` number, since 21 + 10 + 2 + 321 + 312 + 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 = 211023213093 and 211023213102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12203352 + ... + 12220631.

Almost surely, 2211023213120 is an apocalyptic number.

211023213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211023213120 is an abundant number, since it is smaller than the sum of its proper divisors (533419819200).

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

211023213120 is a wasteful number, since it uses less digits than its factorization.

211023213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24424009 (or 24423993 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211023213120 its reverse (21312320112), we get a palindrome (232335533232).

The spelling of 211023213120 in words is "two hundred eleven billion, twenty-three million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 24423983 48847966 73271949 97695932 122119915 146543898 195391864 219815847 244239830 293087796 366359745 390783728 439631694 488479660 586175592 659447541 732719490 781567456 879263388 976959320 1099079235 1172351184 1318895082 1465438980 1563134912 1758526776 1953918640 2198158470 2344702368 2637790164 2930877960 3297237705 3517053552 3907837280 4396316940 4689404736 5275580328 5861755920 6594475410 7034107104 7815674560 8792633880 10551160656 11723511840 13188950820 14068214208 17585267760 21102321312 23447023680 26377901640 35170535520 42204642624 52755803280 70341071040 105511606560 211023213120