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10022312120 = 2351739291559
BaseRepresentation
bin10010101010110000…
…00101100010111000
3221212110202012121012
421111120011202320
5131011202441440
64334300533052
7503235150602
oct112530054270
927773665535
1010022312120
114283374487
121b38551188
13c39500102
146b10d0172
153d9d18e65
hex2556058b8

10022312120 has 64 divisors (see below), whose sum is σ = 22719528000. Its totient is φ = 3978907648.

The previous prime is 10022312099. The next prime is 10022312129. The reversal of 10022312120 is 2121322001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10022312095 and 10022312104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022312129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6427901 + ... + 6429459.

It is an arithmetic number, because the mean of its divisors is an integer number (354992625).

Almost surely, 210022312120 is an apocalyptic number.

10022312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022312120 is an abundant number, since it is smaller than the sum of its proper divisors (12697215880).

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

10022312120 is a wasteful number, since it uses less digits than its factorization.

10022312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10022312120 its reverse (2121322001), we get a palindrome (12143634121).

The spelling of 10022312120 in words is "ten billion, twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 173 346 692 865 929 1384 1559 1730 1858 3118 3460 3716 4645 6236 6920 7432 7795 9290 12472 15590 18580 31180 37160 62360 160717 269707 321434 539414 642868 803585 1078828 1285736 1348535 1448311 1607170 2157656 2697070 2896622 3214340 5394140 5793244 6428680 7241555 10788280 11586488 14483110 28966220 57932440 250557803 501115606 1002231212 1252789015 2004462424 2505578030 5011156060 10022312120