Search a number
-
+
21032312102032 = 2471125936583757
BaseRepresentation
bin1001100100000111101110…
…11111011101110010010000
32202110200001222210210020111
410302003313133131302100
510224043133344231112
6112422035533051104
74300351205064010
oct462036737356220
982420058723214
1021032312102032
116779831963490
122438252926a94
13b9745296607a
14529d7dc0bc40
152671731d85a7
hex1320f77ddc90

21032312102032 has 80 divisors (see below), whose sum is σ = 50824926317952. Its totient is φ = 8191245864960.

The previous prime is 21032312101973. The next prime is 21032312102033. The reversal of 21032312102032 is 23020121323012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21032312101994 and 21032312102012.

It is not an unprimeable number, because it can be changed into a prime (21032312102033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97303 + ... + 6486454.

Almost surely, 221032312102032 is an apocalyptic number.

21032312102032 is a gapful number since it is divisible by the number (22) 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 21032312102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25412463158976).

21032312102032 is an abundant number, since it is smaller than the sum of its proper divisors (29792614215920).

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

21032312102032 is a wasteful number, since it uses less digits than its factorization.

21032312102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6586376 (or 6586370 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21032312102032 its reverse (23020121323012), we get a palindrome (44052433425044).

The spelling of 21032312102032 in words is "twenty-one trillion, thirty-two billion, three hundred twelve million, one hundred two thousand, thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 2593 5186 10372 18151 20744 28523 36302 41488 57046 72604 114092 145208 199661 228184 290416 399322 456368 798644 1597288 3194576 6583757 13167514 26335028 46086299 52670056 72421327 92172598 105340112 144842654 184345196 289685308 368690392 506949289 579370616 737380784 1013898578 1158741232 2027797156 4055594312 8111188624 17071681901 34143363802 68286727604 119501773307 136573455208 187788500911 239003546614 273146910416 375577001822 478007093228 751154003644 956014186456 1314519506377 1502308007288 1912028372912 2629039012754 3004616014576 5258078025508 10516156051016 21032312102032