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2110141368 = 233419367467
BaseRepresentation
bin111110111000110…
…0011001110111000
312110001121021210000
41331301203032320
513310144010433
6545215353000
7103201622436
oct17561431670
95401537700
102110141368
11993135495
124aa822760
1327822bb7a
14160369d56
15c53bc113
hex7dc633b8

2110141368 has 160 divisors (see below), whose sum is σ = 6251731200. Its totient is φ = 663121728.

The previous prime is 2110141361. The next prime is 2110141373. The reversal of 2110141368 is 8631410112.

It is a happy number.

It is a super-2 number, since 2×21101413682 = 8905393185889822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110141361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4518271 + ... + 4518737.

It is an arithmetic number, because the mean of its divisors is an integer number (39073320).

Almost surely, 22110141368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110141368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125865600).

2110141368 is an abundant number, since it is smaller than the sum of its proper divisors (4141589832).

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

2110141368 is a wasteful number, since it uses less digits than its factorization.

2110141368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 2110141368 is about 45936.2750775463. The cubic root of 2110141368 is about 1282.6372562651.

The spelling of 2110141368 in words is "two billion, one hundred ten million, one hundred forty-one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 367 456 467 513 648 684 734 934 1026 1101 1368 1401 1468 1539 1868 2052 2202 2802 2936 3078 3303 3736 4104 4203 4404 5604 6156 6606 6973 8406 8808 8873 9909 11208 12312 12609 13212 13946 16812 17746 19818 20919 25218 26424 26619 27892 29727 33624 35492 37827 39636 41838 50436 53238 55784 59454 62757 70984 75654 79272 79857 83676 100872 106476 118908 125514 151308 159714 167352 171389 188271 212952 237816 239571 251028 302616 319428 342778 376542 479142 502056 514167 564813 638856 685556 718713 753084 958284 1028334 1129626 1371112 1437426 1506168 1542501 1916568 2056668 2259252 2874852 3085002 3256391 4113336 4518504 4627503 5749704 6170004 6512782 9255006 9769173 12340008 13025564 13882509 18510012 19538346 26051128 27765018 29307519 37020024 39076692 55530036 58615038 78153384 87922557 111060072 117230076 175845114 234460152 263767671 351690228 527535342 703380456 1055070684 2110141368