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103031030311144 = 231317233626969859
BaseRepresentation
bin10111011011010011000111…
…111101100110100011101000
3111111210200002122120221021221
4113123103013331212203220
5102001030022224424034
61003043445113311424
730462513656531635
oct2733230775464350
9444720078527257
10103031030311144
112a91323a6629a1
12b68012b705574
134564a2762b8b0
141b62a2ad1118c
15bda118309bb4
hex5db4c7f668e8

103031030311144 has 128 divisors (see below), whose sum is σ = 229868349984000. Its totient is φ = 42807873613824.

The previous prime is 103031030311103. The next prime is 103031030311151. The reversal of 103031030311144 is 441113030130301.

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, 1474807687 + ... + 1474877545.

It is an arithmetic number, because the mean of its divisors is an integer number (1795846484250).

Almost surely, 2103031030311144 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 103031030311144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114934174992000).

103031030311144 is an abundant number, since it is smaller than the sum of its proper divisors (126837319672856).

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

103031030311144 is a wasteful number, since it uses less digits than its factorization.

103031030311144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106187 (or 106183 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 103031030311144 its reverse (441113030130301), we get a palindrome (544144060441445).

The spelling of 103031030311144 in words is "one hundred three trillion, thirty-one billion, thirty million, three hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1564 1768 2392 3128 5083 10166 20332 36269 40664 69859 72538 139718 145076 279436 290152 471497 558872 616573 834187 908167 942994 1187603 1233146 1606757 1668374 1816334 1885988 2375206 2466292 3213514 3336748 3632668 3771976 4750412 4932584 6427028 6673496 7265336 8015449 9500824 10844431 12854056 14181179 15438839 16030898 20887841 21688862 27314869 28362358 30877678 32061796 41775682 43377724 54629738 56724716 61755356 64123592 83551364 86755448 109259476 113449432 123510712 167102728 184355327 218518952 355093297 368710654 710186594 737421308 1420373188 1474842616 2533716071 2840746376 5067432142 10134864284 20269728568 32938308923 43073173207 58275469633 65876617846 86146346414 116550939266 131753235692 172292692828 233101878532 263506471384 344585385656 466203757064 559951251691 757581105229 990682983761 1119902503382 1515162210458 1981365967522 2239805006764 3030324420916 3962731935044 4479610013528 6060648841832 7925463870088 12878878788893 25757757577786 51515515155572 103031030311144