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10002212112 = 243434846033
BaseRepresentation
bin10010101000010110…
…11010010100010000
3221211001221000120110
421110023122110100
5130441031241422
64332302041320
7502602254154
oct112413322420
927731830513
1010002212112
114272a96002
121b31879240
13c352b3309
146ac57b064
153d819860c
hex2542da510

10002212112 has 40 divisors (see below), whose sum is σ = 26439961504. Its totient is φ = 3256533504.

The previous prime is 10002212111. The next prime is 10002212131. The reversal of 10002212112 is 21121220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10002212111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2420953 + ... + 2425080.

Almost surely, 210002212112 is an apocalyptic number.

10002212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002212112 is an abundant number, since it is smaller than the sum of its proper divisors (16437749392).

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

10002212112 is a wasteful number, since it uses less digits than its factorization.

10002212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846087 (or 4846081 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10002212112 its reverse (21121220001), we get a palindrome (31123432113).

The spelling of 10002212112 in words is "ten billion, two million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 4846033 9692066 14538099 19384132 29076198 38768264 58152396 77536528 116304792 208379419 232609584 416758838 625138257 833517676 1250276514 1667035352 2500553028 3334070704 5001106056 10002212112