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10023436332 = 22327134616637
BaseRepresentation
bin10010101010111000…
…11000000000101100
3221212112212022201200
421111130120000230
5131011444430312
64334341005500
7503250542310
oct112534300054
927775768650
1010023436332
114283a72088
121b389b3890
13c39804a20
146b1303b40
153d9e8c0dc
hex25571802c

10023436332 has 144 divisors (see below), whose sum is σ = 31256377152. Its totient is φ = 2637411840.

The previous prime is 10023436327. The next prime is 10023436333. The reversal of 10023436332 is 23363432001.

It is a happy number.

10023436332 is a `hidden beast` number, since 1 + 0 + 0 + 23 + 4 + 3 + 633 + 2 = 666.

It is a super-2 number, since 2×100234363322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10023436296 and 10023436305.

It is not an unprimeable number, because it can be changed into a prime (10023436333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1506918 + ... + 1513554.

Almost surely, 210023436332 is an apocalyptic number.

10023436332 is a gapful number since it is divisible by the number (12) 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 10023436332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628188576).

10023436332 is an abundant number, since it is smaller than the sum of its proper divisors (21232940820).

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

10023436332 is a wasteful number, since it uses less digits than its factorization.

10023436332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10023436332 its reverse (23363432001), we get a palindrome (33386868333).

The spelling of 10023436332 in words is "ten billion, twenty-three million, four hundred thirty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 461 468 546 819 922 1092 1383 1638 1844 2766 3227 3276 4149 5532 5993 6454 6637 8298 9681 11986 12908 13274 16596 17979 19362 19911 23972 26548 29043 35958 38724 39822 41951 46459 53937 58086 59733 71916 79644 83902 86281 92918 107874 116172 119466 125853 139377 167804 172562 185836 215748 238932 251706 258843 278754 345124 377559 418131 503412 517686 557508 603967 755118 776529 836262 1035372 1207934 1510236 1553058 1672524 1811901 2415868 3059657 3106116 3623802 5435703 6119314 7247604 9178971 10871406 12238628 18357942 21417599 21742812 27536913 36715884 39775541 42835198 55073826 64252797 79551082 85670396 110147652 119326623 128505594 159102164 192758391 238653246 257011188 278428787 357979869 385516782 477306492 556857574 715959738 771033564 835286361 1113715148 1431919476 1670572722 2505859083 3341145444 5011718166 10023436332