Search a number
-
+
11402103020 = 22572111576737
BaseRepresentation
bin10101001111001111…
…00100100011101100
31002102122001211212212
422213213210203230
5141322414244040
65123230345552
7552361163600
oct124747444354
932378054785
1011402103020
11492120a840
12226265b2b8
1310c9324229
147a2461500
1546b01ad65
hex2a79e48ec

11402103020 has 144 divisors (see below), whose sum is σ = 30583943712. Its totient is φ = 3530741760.

The previous prime is 11402103019. The next prime is 11402103023. The reversal of 11402103020 is 2030120411.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 11402102986 and 11402103004.

It is not an unprimeable number, because it can be changed into a prime (11402103023) 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, 1689092 + ... + 1695828.

It is an arithmetic number, because the mean of its divisors is an integer number (212388498).

Almost surely, 211402103020 is an apocalyptic number.

11402103020 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 11402103020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15291971856).

11402103020 is an abundant number, since it is smaller than the sum of its proper divisors (19181840692).

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

11402103020 is a wasteful number, since it uses less digits than its factorization.

11402103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 6919 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 11402103020 its reverse (2030120411), we get a palindrome (13432223431).

The spelling of 11402103020 in words is "eleven billion, four hundred two million, one hundred three thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 98 110 140 154 157 196 220 245 308 314 385 490 539 628 770 785 980 1078 1099 1540 1570 1727 2156 2198 2695 3140 3454 4396 5390 5495 6737 6908 7693 8635 10780 10990 12089 13474 15386 17270 21980 24178 26948 30772 33685 34540 38465 47159 48356 60445 67370 74107 76930 84623 94318 120890 134740 148214 153860 169246 188636 235795 241780 296428 330113 338492 370535 423115 471590 518749 660226 741070 846230 943180 1037498 1057709 1320452 1482140 1650565 1692460 2074996 2115418 2593745 3301130 3631243 4230836 5187490 5288545 6602260 7262486 7403963 10374980 10577090 11634799 14524972 14807926 18156215 21154180 23269598 29615852 36312430 37019815 46539196 51827741 58173995 72624860 74039630 81443593 103655482 116347990 148079260 162887186 207310964 232695980 259138705 325774372 407217965 518277410 570105151 814435930 1036554820 1140210302 1628871860 2280420604 2850525755 5701051510 11402103020