Search a number
-
+
13214214020 = 22571031735297
BaseRepresentation
bin11000100111010000…
…01110011110000100
31021002220212121212002
430103220032132010
5204030314322040
610023122244432
7645313652210
oct142350163604
937086777762
1013214214020
115671096637
1226894b6718
131327894967
148d4dab940
15525167a15
hex313a0e784

13214214020 has 96 divisors (see below), whose sum is σ = 32213196288. Its totient is φ = 4459825152.

The previous prime is 13214214017. The next prime is 13214214089. The reversal of 13214214020 is 2041241231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 13214213983 and 13214214001.

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, 2492012 + ... + 2497308.

It is an arithmetic number, because the mean of its divisors is an integer number (335554128).

Almost surely, 213214214020 is an apocalyptic number.

13214214020 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 13214214020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16106598144).

13214214020 is an abundant number, since it is smaller than the sum of its proper divisors (18998982268).

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

13214214020 is a wasteful number, since it uses less digits than its factorization.

13214214020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5589 (or 5587 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13214214020 its reverse (2041241231), we get a palindrome (15255455251).

The spelling of 13214214020 in words is "thirteen billion, two hundred fourteen million, two hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 173 206 346 412 515 692 721 865 1030 1211 1442 1730 2060 2422 2884 3460 3605 4844 5297 6055 7210 10594 12110 14420 17819 21188 24220 26485 35638 37079 52970 71276 74158 89095 105940 124733 148316 178190 185395 249466 356380 370790 498932 545591 623665 741580 916381 1091182 1247330 1832762 2182364 2494660 2727955 3665524 3819137 4581905 5455910 6414667 7638274 9163810 10911820 12829334 15276548 18327620 19095685 25658668 32073335 38191370 64146670 76382740 94387243 128293340 188774486 377548972 471936215 660710701 943872430 1321421402 1887744860 2642842804 3303553505 6607107010 13214214020