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100120221820 = 2257963367229
BaseRepresentation
bin101110100111110100…
…0010101100001111100
3100120102112212020120201
41131033220111201330
53120021234044240
6113554455453244
710143033562303
oct1351750254174
9316375766521
10100120221820
1139508289583
12174a2087224
1395976b3608
144bbadd743a
15290ea85d9a
hex174fa1587c

100120221820 has 24 divisors (see below), whose sum is σ = 212913892800. Its totient is φ = 39541150272.

The previous prime is 100120221811. The next prime is 100120221853. The reversal of 100120221820 is 28122021001.

100120221820 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 2×1001202218202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31682035 + ... + 31685194.

It is an arithmetic number, because the mean of its divisors is an integer number (8871412200).

Almost surely, 2100120221820 is an apocalyptic number.

100120221820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120221820 is an abundant number, since it is smaller than the sum of its proper divisors (112793670980).

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

100120221820 is a wasteful number, since it uses less digits than its factorization.

100120221820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63367317 (or 63367315 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 100120221820 its reverse (28122021001), we get a palindrome (128242242821).

The spelling of 100120221820 in words is "one hundred billion, one hundred twenty million, two hundred twenty-one thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 790 1580 63367229 126734458 253468916 316836145 633672290 1267344580 5006011091 10012022182 20024044364 25030055455 50060110910 100120221820