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10201221234 = 2322337241439
BaseRepresentation
bin10011000000000101…
…00100100001110010
3222022221101201202200
421200002210201302
5131343003034414
64404131324030
7510536643531
oct114002444162
928287351680
1010201221234
114365361556
121b88450616
13c675b15a9
146cab82318
153ea8a9109
hex2600a4872

10201221234 has 144 divisors (see below), whose sum is σ = 24337272960. Its totient is φ = 3080436480.

The previous prime is 10201221223. The next prime is 10201221241. The reversal of 10201221234 is 43212210201.

It is a happy number.

10201221234 is a `hidden beast` number, since 10 + 201 + 221 + 234 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23237187 + ... + 23237625.

It is an arithmetic number, because the mean of its divisors is an integer number (169008840).

Almost surely, 210201221234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201221234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12168636480).

10201221234 is an abundant number, since it is smaller than the sum of its proper divisors (14136051726).

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

10201221234 is a wasteful number, since it uses less digits than its factorization.

10201221234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 545 counting only the distinct ones).

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

Adding to 10201221234 its reverse (43212210201), we get a palindrome (53413431435).

The spelling of 10201221234 in words is "ten billion, two hundred one million, two hundred twenty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 37 41 46 69 74 82 111 123 138 207 222 246 333 369 414 439 666 738 851 878 943 1317 1369 1517 1702 1886 2553 2634 2738 2829 3034 3951 4107 4551 5106 5658 7659 7902 8214 8487 9102 10097 12321 13653 15318 16243 16974 17999 20194 24642 27306 30291 31487 32486 34891 35998 48729 53997 56129 60582 62974 69782 90873 94461 97458 104673 107994 112258 146187 161991 168387 181746 188922 209346 283383 292374 314019 323982 336774 373589 413977 505161 566766 600991 628038 665963 747178 827954 1010322 1120767 1201982 1241931 1290967 1331926 1802973 1997889 2241534 2483862 2581934 3362301 3605946 3725793 3872901 3995778 5408919 5993667 6724602 7451586 7745802 10817838 11618703 11987334 13822793 15317149 23237406 24640631 27645586 30634298 41468379 45951447 49281262 73921893 82936758 91902894 124405137 137854341 147843786 221765679 248810274 275708682 443531358 566734513 1133469026 1700203539 3400407078 5100610617 10201221234