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103214142240 = 25351121777103
BaseRepresentation
bin110000000100000001…
…0101101001100100000
3100212102011121200111220
41200020002231030200
53142340310022430
6115225501135040
710312512506406
oct1401002551440
9325364550456
10103214142240
113a855768800
121800625a480
13996b690361
144dd1c8b476
152a414cd110
hex18080ad320

103214142240 has 144 divisors (see below), whose sum is σ = 357368505984. Its totient is φ = 25021596160.

The previous prime is 103214142197. The next prime is 103214142277. The reversal of 103214142240 is 42241412301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 103214142240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830472 + ... + 946631.

It is an arithmetic number, because the mean of its divisors is an integer number (2481725736).

Almost surely, 2103214142240 is an apocalyptic number.

103214142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103214142240 is an abundant number, since it is smaller than the sum of its proper divisors (254154363744).

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

103214142240 is a wasteful number, since it uses less digits than its factorization.

103214142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777143 (or 1777124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 103214142240 its reverse (42241412301), we get a palindrome (145455554541).

The spelling of 103214142240 in words is "one hundred three billion, two hundred fourteen million, one hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 1777103 3554206 5331309 7108412 8885515 10662618 14216824 17771030 19548133 21325236 26656545 28433648 35542060 39096266 42650472 53313090 56867296 58644399 71084120 78192532 85300944 97740665 106626180 117288798 142168240 156385064 170601888 195481330 213252360 215029463 234577596 284336480 293221995 312770128 390962660 426504720 430058926 469155192 586443990 625540256 645088389 781925320 853009440 860117852 938310384 1075147315 1172887980 1290176778 1563850640 1720235704 1876620768 2150294630 2345775960 2580353556 3127701280 3225441945 3440471408 4300589260 4691551920 5160707112 6450883890 6880942816 8601178520 9383103840 10321414224 12901767780 17202357040 20642828448 25803535560 34404714080 51607071120 103214142240