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103244110024 = 231137471634139
BaseRepresentation
bin110000000100111010…
…1000001100011001000
3100212111021000012120211
41200021311001203020
53142420443010044
6115232451330504
710313325312136
oct1401165014310
9325437005524
10103244110024
113a870676a70
12180142b0a34
139974953783
144dd5c4c756
152a43e4c634
hex1809d418c8

103244110024 has 128 divisors (see below), whose sum is σ = 222916147200. Its totient is φ = 44404381440.

The previous prime is 103244110003. The next prime is 103244110037. The reversal of 103244110024 is 420011442301.

It is a happy number.

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 = 103244109977 and 103244110004.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 24942147 + ... + 24946285.

It is an arithmetic number, because the mean of its divisors is an integer number (1741532400).

Almost surely, 2103244110024 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 103244110024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111458073600).

103244110024 is an abundant number, since it is smaller than the sum of its proper divisors (119672037176).

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

103244110024 is a wasteful number, since it uses less digits than its factorization.

103244110024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 103244110024 its reverse (420011442301), we get a palindrome (523255552325).

The spelling of 103244110024 in words is "one hundred three billion, two hundred forty-four million, one hundred ten thousand, twenty-four".

Divisors: 1 2 4 8 11 22 37 44 47 74 88 94 148 163 188 296 326 376 407 517 652 814 1034 1304 1628 1739 1793 2068 3256 3478 3586 4136 4139 6031 6956 7172 7661 8278 12062 13912 14344 15322 16556 19129 24124 30644 33112 38258 45529 48248 61288 66341 76516 84271 91058 132682 153032 153143 168542 182116 194533 265364 283457 306286 337084 364232 389066 530728 566914 612572 674168 674657 778132 1133828 1225144 1349314 1556264 1684573 2139863 2267656 2698628 3118027 3369146 4279726 5397256 6236054 6738292 7197721 7421227 8559452 12472108 13476584 14395442 14842454 17118904 24944216 24962309 28790884 29684908 31708879 49924618 57581768 59369816 63417758 79174931 99849236 126835516 158349862 199698472 253671032 274585399 316699724 348797669 549170798 633399448 697595338 1098341596 1173228523 1395190676 2196683192 2346457046 2790381352 4692914092 9385828184 12905513753 25811027506 51622055012 103244110024