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20211111122010 = 2351797607673069
BaseRepresentation
bin1001001100001110001000…
…00110010101010001011010
32122120011102002021200010120
410212013010012111101122
510122114323421401020
6110552504542054110
74154130113655414
oct446070406252132
978504362250116
1020211111122010
1164925363646a6
12232507027a336
13b37b90566503
144dc319c979b4
15250b0d9e9740
hex1261c419545a

20211111122010 has 128 divisors (see below), whose sum is σ = 51975046932480. Its totient is φ = 5012019707904.

The previous prime is 20211111122003. The next prime is 20211111122011. The reversal of 20211111122010 is 1022111111202.

It is a happy number.

It is a super-2 number, since 2×202111111220102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20211111122011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29691756 + ... + 30364824.

It is an arithmetic number, because the mean of its divisors is an integer number (406055054160).

Almost surely, 220211111122010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20211111122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25987523466240).

20211111122010 is an abundant number, since it is smaller than the sum of its proper divisors (31763935810470).

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

20211111122010 is a wasteful number, since it uses less digits than its factorization.

20211111122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673800.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 20211111122010 its reverse (1022111111202), we get a palindrome (21233222233212).

The spelling of 20211111122010 in words is "twenty trillion, two hundred eleven billion, one hundred eleven million, one hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 194 255 291 485 510 582 607 970 1214 1455 1649 1821 2910 3035 3298 3642 4947 6070 8245 9105 9894 10319 16490 18210 20638 24735 30957 49470 51595 58879 61914 103190 117758 154785 176637 294395 309570 353274 588790 673069 883185 1000943 1346138 1766370 2001886 2019207 3002829 3365345 4038414 5004715 6005658 6730690 10009430 10096035 11442173 15014145 20192070 22884346 30028290 34326519 57210865 65287693 68653038 114421730 130575386 171632595 195863079 326438465 343265190 391726158 408552883 652876930 817105766 979315395 1109890781 1225658649 1958630790 2042764415 2219781562 2451317298 3329672343 4085528830 5549453905 6128293245 6659344686 6945399011 11098907810 12256586490 13890798022 16648361715 20836197033 33296723430 34726995055 39629629651 41672394066 69453990110 79259259302 104180985165 118888888953 198148148255 208361970330 237777777906 396296296510 594444444765 673703704067 1188888889530 1347407408134 2021111112201 3368518520335 4042222224402 6737037040670 10105555561005 20211111122010