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212148986700 = 22352729311031091
BaseRepresentation
bin1100010110010100010…
…0001010001101001100
3202021121000202011011210
43011211010022031030
511433440120033300
6241243201014420
721220151430210
oct3054504121514
9667530664153
10212148986700
1181a76632782
1235148324410
131700c2b95c1
14a3a7802940
1557b9d24050
hex316510a34c

212148986700 has 576 divisors, whose sum is σ = 757071544320. Its totient is φ = 44827776000.

The previous prime is 212148986659. The next prime is 212148986713. The reversal of 212148986700 is 7689841212.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 212148986700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194453155 + ... + 194454245.

It is an arithmetic number, because the mean of its divisors is an integer number (1314360320).

Almost surely, 2212148986700 is an apocalyptic number.

212148986700 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 212148986700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378535772160).

212148986700 is an abundant number, since it is smaller than the sum of its proper divisors (544922557620).

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

212148986700 is a wasteful number, since it uses less digits than its factorization.

212148986700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 212148986700 in words is "two hundred twelve billion, one hundred forty-eight million, nine hundred eighty-six thousand, seven hundred".