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100303342144 = 2629151463773
BaseRepresentation
bin101110101101010001…
…0111000101001000000
3100120220022102201102221
41131122202320221000
53120410123422034
6114025000420424
710150416224635
oct1353242705100
9316808381387
10100303342144
11395a1692595
1217533477714
1395c660a835
144bd746418c
152920ba8bb4
hex175a8b8a40

100303342144 has 112 divisors (see below), whose sum is σ = 207982840320. Its totient is φ = 47935641600.

The previous prime is 100303342141. The next prime is 100303342189. The reversal of 100303342144 is 441243303001.

It is not an unprimeable number, because it can be changed into a prime (100303342141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129758142 + ... + 129758914.

Almost surely, 2100303342144 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 100303342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103991420160).

100303342144 is an abundant number, since it is smaller than the sum of its proper divisors (107679498176).

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

100303342144 is a wasteful number, since it uses less digits than its factorization.

100303342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 100303342144 its reverse (441243303001), we get a palindrome (541546645145).

The spelling of 100303342144 in words is "one hundred billion, three hundred three million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 151 232 302 463 464 604 773 926 928 1208 1546 1852 1856 2416 3092 3704 4379 4832 6184 7408 8758 9664 12368 13427 14816 17516 22417 24736 26854 29632 35032 44834 49472 53708 69913 70064 89668 107416 116723 139826 140128 179336 214832 233446 279652 280256 357899 358672 429664 466892 559304 715798 717344 859328 933784 1118608 1431596 1434688 1867568 2027477 2237216 2863192 3384967 3735136 4054954 4474432 5726384 6769934 7470272 8109908 10379071 11452768 13539868 16219816 20758142 22905536 27079736 32439632 41516284 54042749 54159472 64879264 83032568 108085498 108318944 129758528 166065136 216170996 216637888 332130272 432341992 664260544 864683984 1567239721 1729367968 3134479442 3458735936 6268958884 12537917768 25075835536 50151671072 100303342144