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2103117744 = 243713835801
BaseRepresentation
bin111110101011011…
…0000011110110000
312102120101110011210
41331112300132300
513301344231434
6544405040120
7103055130420
oct17526603660
95376343153
102103117744
1198a178542
124a83b6040
1327693cc90
1415d45c480
15c4980ee9
hex7d5b07b0

2103117744 has 160 divisors (see below), whose sum is σ = 6768566784. Its totient is φ = 547891200.

The previous prime is 2103117721. The next prime is 2103117749. The reversal of 2103117744 is 4477113012.

It is not an unprimeable number, because it can be changed into a prime (2103117749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359644 + ... + 365444.

Almost surely, 22103117744 is an apocalyptic number.

2103117744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2103117744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384283392).

2103117744 is an abundant number, since it is smaller than the sum of its proper divisors (4665449040).

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

2103117744 is a wasteful number, since it uses less digits than its factorization.

2103117744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2103117744 is about 45859.7617089317. The cubic root of 2103117744 is about 1281.2125846413.

The spelling of 2103117744 in words is "two billion, one hundred three million, one hundred seventeen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 83 84 91 104 112 156 166 168 182 208 249 273 312 332 336 364 498 546 581 624 664 728 996 1079 1092 1162 1328 1456 1743 1992 2158 2184 2324 3237 3486 3984 4316 4368 4648 5801 6474 6972 7553 8632 9296 11602 12948 13944 15106 17264 17403 22659 23204 25896 27888 30212 34806 40607 45318 46408 51792 60424 69612 75413 81214 90636 92816 120848 121821 139224 150826 162428 181272 226239 243642 278448 301652 324856 362544 452478 481483 487284 527891 603304 649712 904956 962966 974568 1055782 1206608 1444449 1583673 1809912 1925932 1949136 2111564 2888898 3167346 3370381 3619824 3851864 4223128 5777796 6259279 6334692 6740762 7703728 8446256 10111143 11555592 12518558 12669384 13481524 18777837 20222286 23111184 25037116 25338768 26963048 37555674 40444572 43814953 50074232 53926096 75111348 80889144 87629906 100148464 131444859 150222696 161778288 175259812 262889718 300445392 350519624 525779436 701039248 1051558872 2103117744