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10122312120 = 2335563149827
BaseRepresentation
bin10010110110101011…
…00011100110111000
3222010102220201210220
421123111203212320
5131212302441440
64352232140040
7505561143024
oct113325434670
928112821726
1010122312120
114324865a08
121b65b37620
13c541438cb
146c04c1384
153e39bd8d0
hex25b5639b8

10122312120 has 64 divisors (see below), whose sum is σ = 30421077120. Its totient is φ = 2694470784.

The previous prime is 10122312089. The next prime is 10122312131. The reversal of 10122312120 is 2121322101.

It is a super-2 number, since 2×101223121202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10122312120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7354 + ... + 142473.

It is an arithmetic number, because the mean of its divisors is an integer number (475329330).

Almost surely, 210122312120 is an apocalyptic number.

10122312120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122312120 is an abundant number, since it is smaller than the sum of its proper divisors (20298765000).

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

10122312120 is a wasteful number, since it uses less digits than its factorization.

10122312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150404 (or 150400 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10122312120 its reverse (2121322101), we get a palindrome (12243634221).

It can be divided in two parts, 1012 and 2312120, that added together give a palindrome (2313132).

The spelling of 10122312120 in words is "ten billion, one hundred twenty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 563 1126 1689 2252 2815 3378 4504 5630 6756 8445 11260 13512 16890 22520 33780 67560 149827 299654 449481 599308 749135 898962 1198616 1498270 1797924 2247405 2996540 3595848 4494810 5993080 8989620 17979240 84352601 168705202 253057803 337410404 421763005 506115606 674820808 843526010 1012231212 1265289015 1687052020 2024462424 2530578030 3374104040 5061156060 10122312120