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4120135110 = 2325721371867
BaseRepresentation
bin1111010110010100…
…0100010111000110
3101122010202112211200
43311211010113012
531414223310420
61520500443330
7204046366500
oct36545042706
911563675750
104120135110
111824788543
1296b9a9546
13508794c90
142b12a6d70
15191aa5b90
hexf59445c6

4120135110 has 144 divisors (see below), whose sum is σ = 13420055376. Its totient is φ = 869291136.

The previous prime is 4120135099. The next prime is 4120135169. The reversal of 4120135110 is 115310214.

4120135110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21397 + ... + 93263.

It is an arithmetic number, because the mean of its divisors is an integer number (93194829).

Almost surely, 24120135110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120135110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710027688).

4120135110 is an abundant number, since it is smaller than the sum of its proper divisors (9299920266).

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

4120135110 is a wasteful number, since it uses less digits than its factorization.

4120135110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71907 (or 71897 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 4120135110 is about 64188.2786028727. The cubic root of 4120135110 is about 1603.1364401450.

Adding to 4120135110 its reverse (115310214), we get a palindrome (4235445324).

The spelling of 4120135110 in words is "four billion, one hundred twenty million, one hundred thirty-five thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 390 441 455 490 546 585 630 637 735 819 882 910 1170 1274 1365 1470 1638 1911 2205 2730 3185 3822 4095 4410 5733 6370 8190 9555 11466 19110 28665 57330 71867 143734 215601 359335 431202 503069 646803 718670 934271 1006138 1078005 1293606 1509207 1868542 2156010 2515345 2802813 3018414 3234015 3521483 4527621 4671355 5030690 5605626 6468030 6539897 7042966 7546035 8408439 9055242 9342710 10564449 13079794 14014065 15092070 16816878 17607415 19619691 21128898 22638105 28028130 31693347 32699485 35214830 39239382 42042195 45276210 45779279 52822245 58859073 63386694 65398970 84084390 91558558 98098455 105644490 117718146 137337837 158466735 196196910 228896395 274675674 294295365 316933470 412013511 457792790 588590730 686689185 824027022 1373378370 2060067555 4120135110