Search a number
-
+
1013223420 = 2232511618389
BaseRepresentation
bin111100011001001…
…000111111111100
32121121120002020100
4330121020333330
54033341122140
6244312521100
734052154066
oct7431107774
92547502210
101013223420
1147aa35830
122433b0190
13131bb9cb1
14987d0736
155de44530
hex3c648ffc

1013223420 has 144 divisors (see below), whose sum is σ = 3408219360. Its totient is φ = 241574400.

The previous prime is 1013223397. The next prime is 1013223451. The reversal of 1013223420 is 243223101.

1013223420 is a `hidden beast` number, since 1 + 0 + 1 + 322 + 342 + 0 = 666.

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 = 1013223393 and 1013223402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116586 + ... + 124974.

It is an arithmetic number, because the mean of its divisors is an integer number (23668190).

Almost surely, 21013223420 is an apocalyptic number.

1013223420 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 1013223420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704109680).

1013223420 is an abundant number, since it is smaller than the sum of its proper divisors (2394995940).

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

1013223420 is a wasteful number, since it uses less digits than its factorization.

1013223420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8476 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1013223420 is about 31831.1705722551. The cubic root of 1013223420 is about 1004.3885193912.

Adding to 1013223420 its reverse (243223101), we get a palindrome (1256446521).

The spelling of 1013223420 in words is "one billion, thirteen million, two hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 61 66 90 99 110 122 132 165 180 183 198 220 244 305 330 366 396 495 549 610 660 671 732 915 990 1098 1220 1342 1830 1980 2013 2196 2684 2745 3355 3660 4026 5490 6039 6710 8052 8389 10065 10980 12078 13420 16778 20130 24156 25167 30195 33556 40260 41945 50334 60390 75501 83890 92279 100668 120780 125835 151002 167780 184558 251670 276837 302004 369116 377505 461395 503340 511729 553674 755010 830511 922790 1023458 1107348 1384185 1510020 1535187 1661022 1845580 2046916 2558645 2768370 3070374 3322044 4152555 4605561 5117290 5536740 5629019 6140748 7675935 8305110 9211122 10234580 11258038 15351870 16610220 16887057 18422244 22516076 23027805 28145095 30703740 33774114 46055610 50661171 56290190 67548228 84435285 92111220 101322342 112580380 168870570 202644684 253305855 337741140 506611710 1013223420