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10343103144 = 233111719311941
BaseRepresentation
bin10011010000111111…
…10011101010101000
3222200211101002011020
421220133303222220
5132140313300034
64430200332440
7514211632443
oct115037635250
928624332136
1010343103144
114428459530
122007a74120
13c8aaca39a
1470195665a
15408083249
hex2687f3aa8

10343103144 has 128 divisors (see below), whose sum is σ = 30025054080. Its totient is φ = 2934374400.

The previous prime is 10343103143. The next prime is 10343103149. The reversal of 10343103144 is 44130134301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10343103143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 860214 + ... + 872154.

It is an arithmetic number, because the mean of its divisors is an integer number (234570735).

Almost surely, 210343103144 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 10343103144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15012527040).

10343103144 is an abundant number, since it is smaller than the sum of its proper divisors (19681950936).

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

10343103144 is a wasteful number, since it uses less digits than its factorization.

10343103144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12171 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10343103144 its reverse (44130134301), we get a palindrome (54473237445).

The spelling of 10343103144 in words is "ten billion, three hundred forty-three million, one hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 193 204 264 374 386 408 561 579 748 772 1122 1158 1496 1544 2123 2244 2316 3281 4246 4488 4632 6369 6562 8492 9843 11941 12738 13124 16984 19686 23882 25476 26248 35823 36091 39372 47764 50952 71646 72182 78744 95528 108273 131351 143292 144364 202997 216546 262702 286584 288728 394053 405994 433092 525404 608991 788106 811988 866184 1050808 1217982 1576212 1623976 2232967 2304613 2435964 3152424 4465934 4609226 4871928 6698901 6913839 8931868 9218452 13397802 13827678 17863736 18436904 25350743 26795604 27655356 39178421 50701486 53591208 55310712 76052229 78356842 101402972 117535263 152104458 156713684 202805944 235070526 304208916 313427368 430962631 470141052 608417832 861925262 940282104 1292887893 1723850524 2585775786 3447701048 5171551572 10343103144