Search a number
-
+
103020212220 = 223537109342457
BaseRepresentation
bin101111111110001111…
…0111010111111111100
3100211220122201000112120
41133330132322333330
53141441133242340
6115154332402540
710304636232642
oct1377436727774
9324818630476
10103020212220
113a766251262
1217b71316450
13993a44cb73
144db4209192
152a2e4724d0
hex17fc7baffc

103020212220 has 96 divisors (see below), whose sum is σ = 296530747968. Its totient is φ = 26704484352.

The previous prime is 103020212213. The next prime is 103020212221. The reversal of 103020212220 is 22212020301.

It is a happy number.

103020212220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030202122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103020212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103020212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2405232 + ... + 2447688.

It is an arithmetic number, because the mean of its divisors is an integer number (3088861958).

Almost surely, 2103020212220 is an apocalyptic number.

103020212220 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 103020212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148265373984).

103020212220 is an abundant number, since it is smaller than the sum of its proper divisors (193510535748).

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

103020212220 is a wasteful number, since it uses less digits than its factorization.

103020212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43599 (or 43597 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103020212220 its reverse (22212020301), we get a palindrome (125232232521).

The spelling of 103020212220 in words is "one hundred three billion, twenty million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1093 1110 2186 2220 3279 4372 5465 6558 10930 13116 16395 21860 32790 40441 42457 65580 80882 84914 121323 127371 161764 169828 202205 212285 242646 254742 404410 424570 485292 509484 606615 636855 808820 849140 1213230 1273710 1570909 2426460 2547420 3141818 4712727 6283636 7854545 9425454 15709090 18850908 23563635 31418180 46405501 47127270 92811002 94254540 139216503 185622004 232027505 278433006 464055010 556866012 696082515 928110020 1392165030 1717003537 2784330060 3434007074 5151010611 6868014148 8585017685 10302021222 17170035370 20604042444 25755053055 34340070740 51510106110 103020212220