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143251020 = 2232511711019
BaseRepresentation
bin10001000100111…
…01011001001100
3100222112220110100
420202131121030
5243133013040
622114211100
73356420313
oct1042353114
9328486410
10143251020
1173952680
123bb83a90
13238a8023
141504d27a
15c899b30
hex889d64c

143251020 has 144 divisors (see below), whose sum is σ = 481178880. Its totient is φ = 34204800.

The previous prime is 143251019. The next prime is 143251021. The reversal of 143251020 is 20152341.

143251020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (143251019) and next prime (143251021).

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 = 143250984 and 143251002.

It is not an unprimeable number, because it can be changed into a prime (143251021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140071 + ... + 141089.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2143251020 is an apocalyptic number.

143251020 is a gapful number since it is divisible by the number (10) 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 143251020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240589440).

143251020 is an abundant number, since it is smaller than the sum of its proper divisors (337927860).

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

143251020 is a wasteful number, since it uses less digits than its factorization.

143251020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 143251020 is about 11968.7518146213. The cubic root of 143251020 is about 523.2379566633.

The spelling of 143251020 in words is "one hundred forty-three million, two hundred fifty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 71 90 99 110 132 142 165 180 198 213 220 284 330 355 396 426 495 639 660 710 781 852 990 1019 1065 1278 1420 1562 1980 2038 2130 2343 2556 3057 3124 3195 3905 4076 4260 4686 5095 6114 6390 7029 7810 9171 9372 10190 11209 11715 12228 12780 14058 15285 15620 18342 20380 22418 23430 28116 30570 33627 35145 36684 44836 45855 46860 56045 61140 67254 70290 72349 91710 100881 112090 134508 140580 144698 168135 183420 201762 217047 224180 289396 336270 361745 403524 434094 504405 651141 672540 723490 795839 868188 1008810 1085235 1302282 1446980 1591678 2017620 2170470 2387517 2604564 3183356 3255705 3979195 4340940 4775034 6511410 7162551 7958390 9550068 11937585 13022820 14325102 15916780 23875170 28650204 35812755 47750340 71625510 143251020