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1150012020 = 223553421859
BaseRepresentation
bin100010010001011…
…1100101001110100
32222010221122220210
41010202330221310
54323400341040
6310040425420
740332640503
oct10442745164
92863848823
101150012020
11540174063
12281178270
131543416b1
14aca3a83a
156ae64480
hex448bca74

1150012020 has 96 divisors (see below), whose sum is σ = 3292410240. Its totient is φ = 299819520.

The previous prime is 1150012009. The next prime is 1150012033. The reversal of 1150012020 is 202100511.

It is a super-2 number, since 2×11500120202 = 2645055292288960800, which contains 22 as substring.

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 = 1150011987 and 1150012005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338351 + ... + 1339209.

It is an arithmetic number, because the mean of its divisors is an integer number (34295940).

Almost surely, 21150012020 is an apocalyptic number.

1150012020 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 1150012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646205120).

1150012020 is an abundant number, since it is smaller than the sum of its proper divisors (2142398220).

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

1150012020 is a wasteful number, since it uses less digits than its factorization.

1150012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1150012020 is about 33911.8271403945. The cubic root of 1150012020 is about 1047.6932033701.

Adding to 1150012020 its reverse (202100511), we get a palindrome (1352112531).

The spelling of 1150012020 in words is "one billion, one hundred fifty million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 421 530 636 795 842 859 1060 1263 1590 1684 1718 2105 2526 2577 3180 3436 4210 4295 5052 5154 6315 8420 8590 10308 12630 12885 17180 22313 25260 25770 44626 45527 51540 66939 89252 91054 111565 133878 136581 182108 223130 227635 267756 273162 334695 361639 446260 455270 546324 669390 682905 723278 910540 1084917 1338780 1365810 1446556 1808195 2169834 2731620 3616390 4339668 5424585 7232780 10849170 19166867 21698340 38333734 57500601 76667468 95834335 115001202 191668670 230002404 287503005 383337340 575006010 1150012020