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211020010124 = 2271117242316633
BaseRepresentation
bin1100010010000111000…
…1011101001010001100
3202011200100101012110112
43010201301131022030
511424132110310444
6240535151055152
721150162330260
oct3044161351214
9664610335415
10211020010124
1181547326990
1234a922114b8
1316b8c431721
14a2db8c00a0
155750b6769e
hex3121c5d28c

211020010124 has 96 divisors (see below), whose sum is σ = 487720590336. Its totient is φ = 77342791680.

The previous prime is 211020010121. The next prime is 211020010181. The reversal of 211020010124 is 421010020112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211020010099 and 211020010108.

It is not an unprimeable number, because it can be changed into a prime (211020010121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12678512 + ... + 12695144.

It is an arithmetic number, because the mean of its divisors is an integer number (5080422816).

Almost surely, 2211020010124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211020010124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243860295168).

211020010124 is an abundant number, since it is smaller than the sum of its proper divisors (276700580212).

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

211020010124 is a wasteful number, since it uses less digits than its factorization.

211020010124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19095 (or 19093 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211020010124 its reverse (421010020112), we get a palindrome (632030030236).

The spelling of 211020010124 in words is "two hundred eleven billion, twenty million, ten thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 748 1309 2423 2618 4846 5236 9692 16633 16961 26653 33266 33922 41191 53306 66532 67844 82382 106612 116431 164764 182963 186571 232862 282761 288337 365926 373142 453101 465724 565522 576674 731852 746284 906202 1131044 1153348 1280741 1812404 1979327 2561482 3110371 3171707 3958654 5122964 6220742 6343414 7917308 12441484 12686828 21772597 40301759 43545194 80603518 87090388 161207036 282112313 443319349 564224626 685129903 886638698 1128449252 1370259806 1773277396 2740519612 3103235443 4795909321 6206470886 7536428933 9591818642 12412941772 15072857866 19183637284 30145715732 52755002531 105510005062 211020010124