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103354351104 = 2931710936313
BaseRepresentation
bin110000001000001100…
…1100011111000000000
3100212202221110000220210
41200100121203320000
53143132203213404
6115251430234120
710316134326534
oct1402031437000
9325687400823
10103354351104
113a9179227a4
12180451b5940
139991741794
145006747bc4
152a4d976689
hex1810663e00

103354351104 has 160 divisors (see below), whose sum is σ = 294221838240. Its totient is φ = 32126533632.

The previous prime is 103354351021. The next prime is 103354351151. The reversal of 103354351104 is 401153453301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2828052 + ... + 2864364.

It is an arithmetic number, because the mean of its divisors is an integer number (1838886489).

Almost surely, 2103354351104 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 103354351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147110919120).

103354351104 is an abundant number, since it is smaller than the sum of its proper divisors (190867487136).

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

103354351104 is a wasteful number, since it uses less digits than its factorization.

103354351104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36460 (or 36444 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 103354351104 in words is "one hundred three billion, three hundred fifty-four million, three hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 109 128 136 192 204 218 256 272 327 384 408 436 512 544 654 768 816 872 1088 1308 1536 1632 1744 1853 2176 2616 3264 3488 3706 4352 5232 5559 6528 6976 7412 8704 10464 11118 13056 13952 14824 20928 22236 26112 27904 29648 36313 41856 44472 55808 59296 72626 83712 88944 108939 118592 145252 167424 177888 217878 237184 290504 355776 435756 474368 581008 617321 711552 871512 948736 1162016 1234642 1423104 1743024 1851963 2324032 2469284 2846208 3486048 3703926 3958117 4648064 4938568 6972096 7407852 7916234 9296128 9877136 11874351 13944192 14815704 15832468 18592256 19754272 23748702 27888384 29631408 31664936 39508544 47497404 55776768 59262816 63329872 67287989 79017088 94994808 118525632 126659744 134575978 158034176 189989616 201863967 237051264 253319488 269151956 316068352 379979232 403727934 474102528 506638976 538303912 759958464 807455868 948205056 1013277952 1076607824 1519916928 1614911736 2026555904 2153215648 3039833856 3229823472 4306431296 6079667712 6459646944 8612862592 12919293888 17225725184 25838587776 34451450368 51677175552 103354351104