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210032145312 = 25311198894077
BaseRepresentation
bin1100001110011011100…
…1000011001110100000
3202002010111112110200220
43003212321003032200
511420121212122222
6240253141443040
721113535531033
oct3034671031640
9662114473626
10210032145312
118108a741490
1234857410480
1316a62882c32
14a24661101a
1556e4081b5c
hex30e6e433a0

210032145312 has 48 divisors (see below), whose sum is σ = 601455691872. Its totient is φ = 63646104320.

The previous prime is 210032145307. The next prime is 210032145383. The reversal of 210032145312 is 213541230012.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2100321453122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99445983 + ... + 99448094.

It is an arithmetic number, because the mean of its divisors is an integer number (12530326914).

Almost surely, 2210032145312 is an apocalyptic number.

210032145312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210032145312 is an abundant number, since it is smaller than the sum of its proper divisors (391423546560).

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

210032145312 is a wasteful number, since it uses less digits than its factorization.

210032145312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198894101 (or 198894093 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 210032145312 its reverse (213541230012), we get a palindrome (423573375324).

The spelling of 210032145312 in words is "two hundred ten billion, thirty-two million, one hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 198894077 397788154 596682231 795576308 1193364462 1591152616 2187834847 2386728924 3182305232 4375669694 4773457848 6364610464 6563504541 8751339388 9546915696 13127009082 17502678776 19093831392 26254018164 35005357552 52508036328 70010715104 105016072656 210032145312