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10022012401312 = 252910799582329
BaseRepresentation
bin1001000111010110111001…
…1111010011011010100000
31022111002120021110002201001
42101311232133103122200
52303200040133320222
633152014323121344
72053031544563362
oct221655637233240
938432507402631
1010022012401312
1132143477aaa1a
12115a3bb813254
135790c1730062
142690d47bad32
15125a676c0e27
hex91d6e7d36a0

10022012401312 has 24 divisors (see below), whose sum is σ = 20411210603700. Its totient is φ = 4838212882944.

The previous prime is 10022012401243. The next prime is 10022012401319. The reversal of 10022012401312 is 21310421022001.

It can be written as a sum of positive squares in 2 ways, for example, as 8762760358416 + 1259252042896 = 2960196^2 + 1122164^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10022012401312.

It is not an unprimeable number, because it can be changed into a prime (10022012401319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5399790237 + ... + 5399792092.

Almost surely, 210022012401312 is an apocalyptic number.

It is an amenable number.

10022012401312 is an abundant number, since it is smaller than the sum of its proper divisors (10389198202388).

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

10022012401312 is a wasteful number, since it uses less digits than its factorization.

10022012401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10799582368 (or 10799582360 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 10022012401312 its reverse (21310421022001), we get a palindrome (31332433423313).

The spelling of 10022012401312 in words is "ten trillion, twenty-two billion, twelve million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 10799582329 21599164658 43198329316 86396658632 172793317264 313187887541 345586634528 626375775082 1252751550164 2505503100328 5011006200656 10022012401312