Search a number
-
+
103416250344 = 233114723335771
BaseRepresentation
bin110000001010000010…
…1101011111111101000
3100212221020220211201020
41200110011223333220
53143244030002334
6115301521052440
710320515424021
oct1402405537750
9325836824636
10103416250344
113a9498605a0
1218061a87120
1399a1505054
145010a5bc48
152a54101e49
hex181416bfe8

103416250344 has 128 divisors (see below), whose sum is σ = 289289594880. Its totient is φ = 30538995200.

The previous prime is 103416250337. The next prime is 103416250369. The reversal of 103416250344 is 443052614301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2873179 + ... + 2908949.

It is an arithmetic number, because the mean of its divisors is an integer number (2260074960).

Almost surely, 2103416250344 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 103416250344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144644797440).

103416250344 is an abundant number, since it is smaller than the sum of its proper divisors (185873344536).

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

103416250344 is a wasteful number, since it uses less digits than its factorization.

103416250344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36071 (or 36067 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 103416250344 its reverse (443052614301), we get a palindrome (546468864645).

The spelling of 103416250344 in words is "one hundred three billion, four hundred sixteen million, two hundred fifty thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 233 264 282 376 466 517 564 699 932 1034 1128 1398 1551 1864 2068 2563 2796 3102 4136 5126 5592 6204 7689 10252 10951 12408 15378 20504 21902 30756 32853 35771 43804 61512 65706 71542 87608 107313 120461 131412 143084 214626 240922 262824 286168 361383 393481 429252 481844 722766 786962 858504 963688 1180443 1445532 1573924 1681237 2360886 2891064 3147848 3362474 4721772 5043711 6724948 8334643 9443544 10087422 13449896 16669286 18493607 20174844 25003929 33338572 36987214 40349688 50007858 55480821 66677144 73974428 91681073 100015716 110961642 147948856 183362146 200031432 221923284 275043219 366724292 391728221 443846568 550086438 733448584 783456442 1100172876 1175184663 1566912884 2200345752 2350369326 3133825768 4309010431 4700738652 8618020862 9401477304 12927031293 17236041724 25854062586 34472083448 51708125172 103416250344