Search a number
-
+
21103230012312 = 2337433229904697
BaseRepresentation
bin1001100110001011110101…
…00001110100101110011000
32202201110010101100220022010
410303011322201310232120
510231223403340343222
6112514405014025520
74305441466265640
oct463057241645630
982643111326263
1021103230012312
1167a6914200098
122449b450482a0
13ba10453082a6
1452d58a6c3520
15268e241b280c
hex13317a874b98

21103230012312 has 128 divisors (see below), whose sum is σ = 61716326284800. Its totient is φ = 5887443115008.

The previous prime is 21103230012311. The next prime is 21103230012329. The reversal of 21103230012312 is 21321003230112.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21103230012311) 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, 22873948 + ... + 23778644.

It is an arithmetic number, because the mean of its divisors is an integer number (482158799100).

Almost surely, 221103230012312 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 21103230012312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30858163142400).

21103230012312 is an abundant number, since it is smaller than the sum of its proper divisors (40613096272488).

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

21103230012312 is a wasteful number, since it uses less digits than its factorization.

21103230012312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907985 (or 907981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21103230012312 its reverse (21321003230112), we get a palindrome (42424233242424).

The spelling of 21103230012312 in words is "twenty-one trillion, one hundred three billion, two hundred thirty million, twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3229 3612 6458 7224 9687 12916 19374 22603 25832 38748 45206 67809 77496 90412 135618 138847 180824 271236 277694 416541 542472 555388 833082 904697 971929 1110776 1666164 1809394 1943858 2714091 2915787 3332328 3618788 3887716 5428182 5831574 6332879 7237576 7775432 10856364 11663148 12665758 18998637 21712728 23326296 25331516 37997274 38901971 50663032 75994548 77803942 116705913 151989096 155607884 233411826 272313797 311215768 466823652 544627594 816941391 933647304 1089255188 1633882782 2178510376 2921266613 3267765564 5842533226 6535531128 8763799839 11685066452 17527599678 20448866291 23370132904 35055199356 40897732582 61346598873 70110398712 81795465164 122693197746 125614464359 163590930328 245386395492 251228928718 376843393077 490772790984 502457857436 753686786154 879301250513 1004915714872 1507373572308 1758602501026 2637903751539 3014747144616 3517205002052 5275807503078 7034410004104 10551615006156 21103230012312