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100331223220 = 225177111233701
BaseRepresentation
bin101110101110000110…
…1001111100010110100
3100120222020220020002101
41131130031033202310
53120434243120340
6114031434151444
710151205216604
oct1353415174264
9316866806071
10100331223220
11396063a5aa8
1217540882584
1395cc320207
144bdb040c04
152923364c9a
hex175c34f8b4

100331223220 has 96 divisors (see below), whose sum is σ = 226494164736. Its totient is φ = 37196544000.

The previous prime is 100331223163. The next prime is 100331223227. The reversal of 100331223220 is 22322133001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100331223227) 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, 27107370 + ... + 27111070.

It is an arithmetic number, because the mean of its divisors is an integer number (2359314216).

Almost surely, 2100331223220 is an apocalyptic number.

100331223220 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 100331223220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113247082368).

100331223220 is an abundant number, since it is smaller than the sum of its proper divisors (126162941516).

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

100331223220 is a wasteful number, since it uses less digits than its factorization.

100331223220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4921 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100331223220 its reverse (22322133001), we get a palindrome (122653356221).

The spelling of 100331223220 in words is "one hundred billion, three hundred thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 1123 1207 1420 2246 2414 3701 4492 4828 5615 6035 7402 11230 12070 14804 18505 19091 22460 24140 37010 38182 62917 74020 76364 79733 95455 125834 159466 190910 251668 262771 314585 318932 381820 398665 525542 629170 797330 1051084 1258340 1313855 1355461 1594660 2627710 2710922 4156223 4467107 5255420 5421844 6777305 8312446 8934214 13554610 16624892 17868428 20781115 22335535 27109220 41562230 44671070 70655791 83124460 89342140 141311582 282623164 295091833 353278955 590183666 706557910 1180367332 1413115820 1475459165 2950918330 5016561161 5901836660 10033122322 20066244644 25082805805 50165611610 100331223220