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103364101464 = 233132376918731
BaseRepresentation
bin110000001000011111…
…0110000010101011000
3100212210121210101220020
41200100332300111120
53143142202221324
6115252415230440
710316313236331
oct1402076602530
9325717711806
10103364101464
113a922382348
1218048518420
139993776820
145007b65288
152a4e750679
hex1810fb0558

103364101464 has 128 divisors (see below), whose sum is σ = 290780582400. Its totient is φ = 30380359680.

The previous prime is 103364101453. The next prime is 103364101513. The reversal of 103364101464 is 464101463301.

103364101464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 5508979 + ... + 5527709.

It is an arithmetic number, because the mean of its divisors is an integer number (2271723300).

Almost surely, 2103364101464 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 103364101464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145390291200).

103364101464 is an abundant number, since it is smaller than the sum of its proper divisors (187416480936).

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

103364101464 is a wasteful number, since it uses less digits than its factorization.

103364101464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19545 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 103364101464 its reverse (464101463301), we get a palindrome (567465564765).

The spelling of 103364101464 in words is "one hundred three billion, three hundred sixty-four million, one hundred one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 769 897 1196 1538 1794 2307 2392 3076 3588 4614 6152 7176 9228 9997 17687 18456 18731 19994 29991 35374 37462 39988 53061 56193 59982 70748 74924 79976 106122 112386 119964 141496 149848 212244 224772 229931 239928 243503 424488 430813 449544 459862 487006 689793 730509 861626 919724 974012 1292439 1379586 1461018 1723252 1839448 1948024 2584878 2759172 2922036 3446504 5169756 5518344 5600569 5844072 10339512 11201138 14404139 16801707 22402276 28808278 33603414 43212417 44804552 57616556 67206828 86424834 115233112 134413656 172849668 187253807 331295197 345699336 374507614 561761421 662590394 749015228 993885591 1123522842 1325180788 1498030456 1987771182 2247045684 2650361576 3975542364 4306837561 4494091368 7951084728 8613675122 12920512683 17227350244 25841025366 34454700488 51682050732 103364101464