Search a number
-
+
10034154312 = 23371317925667
BaseRepresentation
bin10010101100001010…
…10000101101001000
3221220022000212000220
421112011100231020
5131022220414222
64335402430040
7503440622130
oct112605205510
927808025026
1010034154312
11428a022716
121b40502320
13c3bab8320
146b28d3ac0
153dada7b5c
hex256150b48

10034154312 has 128 divisors (see below), whose sum is σ = 31048012800. Its totient is φ = 2631483648.

The previous prime is 10034154293. The next prime is 10034154329. The reversal of 10034154312 is 21345143001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378103 + ... + 403769.

It is an arithmetic number, because the mean of its divisors is an integer number (242562600).

Almost surely, 210034154312 is an apocalyptic number.

10034154312 is a gapful number since it is divisible by the number (12) 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 10034154312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524006400).

10034154312 is an abundant number, since it is smaller than the sum of its proper divisors (21013858488).

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

10034154312 is a wasteful number, since it uses less digits than its factorization.

10034154312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25875 (or 25871 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 10034154312 its reverse (21345143001), we get a palindrome (31379297313).

The spelling of 10034154312 in words is "ten billion, thirty-four million, one hundred fifty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 179 182 273 312 358 364 537 546 716 728 1074 1092 1253 1432 2148 2184 2327 2506 3759 4296 4654 5012 6981 7518 9308 10024 13962 15036 16289 18616 25667 27924 30072 32578 48867 51334 55848 65156 77001 97734 102668 130312 154002 179669 195468 205336 308004 333671 359338 390936 539007 616008 667342 718676 1001013 1078014 1334684 1437352 2002026 2156028 2335697 2669368 4004052 4312056 4594393 4671394 7007091 8008104 9188786 9342788 13783179 14014182 18377572 18685576 27566358 28028364 32160751 36755144 55132716 56056728 59727109 64321502 96482253 110265432 119454218 128643004 179181327 192964506 238908436 257286008 358362654 385929012 418089763 477816872 716725308 771858024 836179526 1254269289 1433450616 1672359052 2508538578 3344718104 5017077156 10034154312