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1141300020 = 2235723118147
BaseRepresentation
bin100010000000110…
…1101101100110100
32221112120001022010
41010001231230310
54314133100040
6305130004220
740165614210
oct10401555464
92845501263
101141300020
11536263663
1227a276670
131525b1173
14ab80d940
156a2e2e80
hex4406db34

1141300020 has 96 divisors (see below), whose sum is σ = 3810981888. Its totient is φ = 249524352.

The previous prime is 1141300007. The next prime is 1141300021. The reversal of 1141300020 is 200031411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1141299969 and 1141300005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141300021) 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 31 ways as a sum of consecutive naturals, for example, 49414 + ... + 68733.

It is an arithmetic number, because the mean of its divisors is an integer number (39697728).

Almost surely, 21141300020 is an apocalyptic number.

1141300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141300020 is an abundant number, since it is smaller than the sum of its proper divisors (2669681868).

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

1141300020 is a wasteful number, since it uses less digits than its factorization.

1141300020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118189 (or 118187 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1141300020 is about 33783.1321816080. The cubic root of 1141300020 is about 1045.0408689556.

Adding to 1141300020 its reverse (200031411), we get a palindrome (1341331431).

The spelling of 1141300020 in words is "one billion, one hundred forty-one million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 60 69 70 84 92 105 115 138 140 161 210 230 276 322 345 420 460 483 644 690 805 966 1380 1610 1932 2415 3220 4830 9660 118147 236294 354441 472588 590735 708882 827029 1181470 1417764 1654058 1772205 2362940 2481087 2717381 3308116 3544410 4135145 4962174 5434762 7088820 8152143 8270290 9924348 10869524 12405435 13586905 16304286 16540580 19021667 24810870 27173810 32608572 38043334 40760715 49621740 54347620 57065001 76086668 81521430 95108335 114130002 163042860 190216670 228260004 285325005 380433340 570650010 1141300020