Search a number
-
+
10111455024 = 24311217102409
BaseRepresentation
bin10010110101011000…
…01000111100110000
3222002200111010200020
421122230020330300
5131202013030044
64351203323440
7505366643466
oct113254107460
928080433606
1010111455024
11431971a900
121b62380580
13c51b11ba8
146bcc96836
153e2a76a19
hex25ab08f30

10111455024 has 120 divisors (see below), whose sum is σ = 30401022960. Its totient is φ = 2883809280.

The previous prime is 10111455023. The next prime is 10111455047. The reversal of 10111455024 is 42055411101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10111454985 and 10111455003.

It is not an unprimeable number, because it can be changed into a prime (10111455023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47532 + ... + 149940.

It is an arithmetic number, because the mean of its divisors is an integer number (253341858).

Almost surely, 210111455024 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 10111455024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200511480).

10111455024 is an abundant number, since it is smaller than the sum of its proper divisors (20289567936).

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

10111455024 is a wasteful number, since it uses less digits than its factorization.

10111455024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102459 (or 102442 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

Adding to 10111455024 its reverse (42055411101), we get a palindrome (52166866125).

The spelling of 10111455024 in words is "ten billion, one hundred eleven million, four hundred fifty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 121 132 136 176 187 204 242 264 272 363 374 408 484 528 561 726 748 816 968 1122 1452 1496 1936 2057 2244 2904 2992 4114 4488 5808 6171 8228 8976 12342 16456 24684 32912 49368 98736 102409 204818 307227 409636 614454 819272 1126499 1228908 1638544 1740953 2252998 2457816 3379497 3481906 4505996 4915632 5222859 6758994 6963812 9011992 10445718 12391489 13517988 13927624 18023984 19150483 20891436 24782978 27035976 27855248 37174467 38300966 41782872 49565956 54071952 57451449 74348934 76601932 83565744 99131912 114902898 148697868 153203864 198263824 210655313 229805796 297395736 306407728 421310626 459611592 594791472 631965939 842621252 919223184 1263931878 1685242504 2527863756 3370485008 5055727512 10111455024