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10311114120 = 2335375993877
BaseRepresentation
bin10011001101001011…
…10001110110001000
3222121121011212110120
421212211301312020
5132104121122440
64423054543240
7513343011126
oct114645616610
928547155416
1010311114120
11441139a71a
121bb9207b20
13c842a9c78
146db5ca916
15405364dd0
hex266971d88

10311114120 has 128 divisors (see below), whose sum is σ = 31830624000. Its totient is φ = 2670160896.

The previous prime is 10311114113. The next prime is 10311114217. The reversal of 10311114120 is 2141111301.

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 10311114120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2657622 + ... + 2661498.

It is an arithmetic number, because the mean of its divisors is an integer number (248676750).

Almost surely, 210311114120 is an apocalyptic number.

10311114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10311114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15915312000).

10311114120 is an abundant number, since it is smaller than the sum of its proper divisors (21519509880).

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

10311114120 is a wasteful number, since it uses less digits than its factorization.

10311114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10311114120 its reverse (2141111301), we get a palindrome (12452225421).

The spelling of 10311114120 in words is "ten billion, three hundred eleven million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 599 740 888 1110 1198 1480 1797 2220 2396 2995 3594 3877 4440 4792 5990 7188 7754 8985 11631 11980 14376 15508 17970 19385 22163 23262 23960 31016 35940 38770 44326 46524 58155 66489 71880 77540 88652 93048 110815 116310 132978 143449 155080 177304 221630 232620 265956 286898 332445 430347 443260 465240 531912 573796 664890 717245 860694 886520 1147592 1329780 1434490 1721388 2151735 2322323 2659560 2868980 3442776 4303470 4644646 5737960 6966969 8606940 9289292 11611615 13933938 17213880 18578584 23223230 27867876 34834845 46446460 55735752 69669690 85925951 92892920 139339380 171851902 257777853 278678760 343703804 429629755 515555706 687407608 859259510 1031111412 1288889265 1718519020 2062222824 2577778530 3437038040 5155557060 10311114120