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1143013032 = 23347673761
BaseRepresentation
bin100010000100000…
…1111111010101000
32221122210002010000
41010020033322220
54320102404112
6305230423000
740216310340
oct10410177250
92848702100
101143013032
11537223677
1227a961a60
13152a60a95
14abb37d20
156a5307dc
hex4420fea8

1143013032 has 160 divisors (see below), whose sum is σ = 3714448320. Its totient is φ = 321615360.

The previous prime is 1143013031. The next prime is 1143013033. The reversal of 1143013032 is 2303103411.

It is an interprime number because it is at equal distance from previous prime (1143013031) and next prime (1143013033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1143012996 and 1143013014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143013031) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 302032 + ... + 305792.

It is an arithmetic number, because the mean of its divisors is an integer number (23215302).

Almost surely, 21143013032 is an apocalyptic number.

1143013032 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 1143013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857224160).

1143013032 is an abundant number, since it is smaller than the sum of its proper divisors (2571435288).

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

1143013032 is a wasteful number, since it uses less digits than its factorization.

1143013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1143013032 is about 33808.4757420384. The cubic root of 1143013032 is about 1045.5634521574.

Adding to 1143013032 its reverse (2303103411), we get a palindrome (3446116443).

The spelling of 1143013032 in words is "one billion, one hundred forty-three million, thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 81 84 108 126 134 162 168 189 201 216 252 268 324 378 402 469 504 536 567 603 648 756 804 938 1134 1206 1407 1512 1608 1809 1876 2268 2412 2814 3618 3752 3761 4221 4536 4824 5427 5628 7236 7522 8442 10854 11256 11283 12663 14472 15044 16884 21708 22566 25326 26327 30088 33768 33849 37989 43416 45132 50652 52654 67698 75978 78981 90264 101304 101547 105308 135396 151956 157962 203094 210616 236943 251987 270792 303912 304641 315924 406188 473886 503974 609282 631848 710829 755961 812376 947772 1007948 1218564 1421658 1511922 1763909 1895544 2015896 2132487 2267883 2437128 2843316 3023844 3527818 4264974 4535766 5291727 5686632 6047688 6803649 7055636 8529948 9071532 10583454 13607298 14111272 15875181 17059896 18143064 20410947 21166908 27214596 31750362 40821894 42333816 47625543 54429192 63500724 81643788 95251086 127001448 142876629 163287576 190502172 285753258 381004344 571506516 1143013032