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210000021100 = 225223619147503
BaseRepresentation
bin1100001110010011111…
…0100000011001101100
3202002001021002101120021
43003210332200121230
511420040001133400
6240250033131524
721112665504322
oct3034476403154
9662037071507
10210000021100
11810735a0051
12348486b9ba4
1316a5901611c
14a24224bd12
1556e133871a
hex30e4fa066c

210000021100 has 72 divisors (see below), whose sum is σ = 476284515840. Its totient is φ = 80217487680.

The previous prime is 210000021083. The next prime is 210000021107. The reversal of 210000021100 is 1120000012.

It is not an unprimeable number, because it can be changed into a prime (210000021107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349949 + ... + 1497451.

It is an arithmetic number, because the mean of its divisors is an integer number (6615062720).

Almost surely, 2210000021100 is an apocalyptic number.

210000021100 is a gapful number since it is divisible by the number (20) 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 210000021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238142257920).

210000021100 is an abundant number, since it is smaller than the sum of its proper divisors (266284494740).

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

210000021100 is a wasteful number, since it uses less digits than its factorization.

210000021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148159 (or 148152 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 210000021100 its reverse (1120000012), we get a palindrome (211120021112).

The spelling of 210000021100 in words is "two hundred ten billion, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 619 1150 1238 2300 2476 3095 6190 12380 14237 15475 28474 30950 56948 61900 71185 142370 147503 284740 295006 355925 590012 711850 737515 1423700 1475030 2950060 3392569 3687575 6785138 7375150 13570276 14750300 16962845 33925690 67851380 84814225 91304357 169628450 182608714 339256900 365217428 456521785 913043570 1826087140 2100000211 2282608925 4200000422 4565217850 8400000844 9130435700 10500001055 21000002110 42000004220 52500005275 105000010550 210000021100