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100221403248 = 2433427354293
BaseRepresentation
bin101110101010110101…
…0010100000001110000
3100120200121020210102000
41131111222110001300
53120223134400443
6114012512254000
710145402605011
oct1352552240160
9316617223360
10100221403248
113955a40769a
121750bb41300
1395b264ba95
144bca615008
1529188c08d3
hex1755a94070

100221403248 has 80 divisors (see below), whose sum is σ = 287745169440. Its totient is φ = 33398701056.

The previous prime is 100221403223. The next prime is 100221403267. The reversal of 100221403248 is 842304122001.

100221403248 is a `hidden beast` number, since 10 + 0 + 2 + 2 + 1 + 403 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1818790 + ... + 1873082.

It is an arithmetic number, because the mean of its divisors is an integer number (3596814618).

Almost surely, 2100221403248 is an apocalyptic number.

100221403248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100221403248 is an abundant number, since it is smaller than the sum of its proper divisors (187523766192).

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

100221403248 is a wasteful number, since it uses less digits than its factorization.

100221403248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58583 (or 58571 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 100221403248 its reverse (842304122001), we get a palindrome (942525525249).

The spelling of 100221403248 in words is "one hundred billion, two hundred twenty-one million, four hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4273 8546 12819 17092 25638 34184 38457 51276 54293 68368 76914 102552 108586 115371 153828 162879 205104 217172 230742 307656 325758 434344 461484 488637 615312 651516 868688 922968 977274 1303032 1465911 1845936 1954548 2606064 2931822 3909096 5863644 7818192 11727288 23454576 231993989 463987978 695981967 927975956 1391963934 1855951912 2087945901 2783927868 3711903824 4175891802 5567855736 6263837703 8351783604 11135711472 12527675406 16703567208 25055350812 33407134416 50110701624 100221403248