Search a number
-
+
1020210100 = 2252713112111
BaseRepresentation
bin111100110011110…
…010101110110100
32122002201001011021
4330303302232310
54042133210400
6245122350524
734165433320
oct7463625664
92562631137
101020210100
11483977a48
122457bb444
13133495120
14996cc980
155e87471a
hex3ccf2bb4

1020210100 has 72 divisors (see below), whose sum is σ = 2724770048. Its totient is φ = 322876800.

The previous prime is 1020210089. The next prime is 1020210101. The reversal of 1020210100 is 10120201.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020210101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46956 + ... + 65155.

Almost surely, 21020210100 is an apocalyptic number.

1020210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020210100 is an abundant number, since it is smaller than the sum of its proper divisors (1704559948).

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

1020210100 is a wasteful number, since it uses less digits than its factorization.

1020210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112145 (or 112138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1020210100 is about 31940.7279190691. The cubic root of 1020210100 is about 1006.6918196620.

Adding to 1020210100 its reverse (10120201), we get a palindrome (1030330301).

It can be divided in two parts, 10202 and 10100, that added together give a palindrome (20302).

The spelling of 1020210100 in words is "one billion, twenty million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 112111 224222 448444 560555 784777 1121110 1457443 1569554 2242220 2802775 2914886 3139108 3923885 5605550 5829772 7287215 7847770 10202101 11211100 14574430 15695540 19619425 20404202 29148860 36436075 39238850 40808404 51010505 72872150 78477700 102021010 145744300 204042020 255052525 510105050 1020210100