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100223120 = 24510312163
BaseRepresentation
bin1011111100101…
…00100010010000
320222120212021102
411332110202100
5201124114440
613540043532
72324611454
oct576244220
9228525242
10100223120
1151634128
12296935a8
13179c122a
14d44c664
158beab15
hex5f94890

100223120 has 40 divisors (see below), whose sum is σ = 235300416. Its totient is φ = 39696768.

The previous prime is 100223099. The next prime is 100223131. The reversal of 100223120 is 21322001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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, 2159 + ... + 14321.

Almost surely, 2100223120 is an apocalyptic number.

100223120 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 100223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117650208).

100223120 is an abundant number, since it is smaller than the sum of its proper divisors (135077296).

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

100223120 is a wasteful number, since it uses less digits than its factorization.

100223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12279 (or 12273 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 100223120 is about 10011.1497841157. The cubic root of 100223120 is about 464.5038373681.

Adding to 100223120 its reverse (21322001), we get a palindrome (121545121).

The spelling of 100223120 in words is "one hundred million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 8240 12163 24326 48652 60815 97304 121630 194608 243260 486520 973040 1252789 2505578 5011156 6263945 10022312 12527890 20044624 25055780 50111560 100223120