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23234837861100 = 223521712473365257
BaseRepresentation
bin1010100100001110010000…
…10000011101001011101100
310001021020011210121011210010
411102013020100131023230
511021134421443023400
6121225534232013220
74615442641121115
oct522071020351354
9101236153534703
1023234837861100
117448926272658
122733098231210
13cc70608975a8
145a4801db720c
152a45d1253450
hex1521c841d2ec

23234837861100 has 144 divisors (see below), whose sum is σ = 71186510834208. Its totient is φ = 5831005224960.

The previous prime is 23234837861093. The next prime is 23234837861111. The reversal of 23234837861100 is 116873843232.

It is a self number, because there is not a number n which added to its sum of digits gives 23234837861100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63429672 + ... + 63794928.

It is an arithmetic number, because the mean of its divisors is an integer number (494350769682).

Almost surely, 223234837861100 is an apocalyptic number.

23234837861100 is a gapful number since it is divisible by the number (20) 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 23234837861100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35593255417104).

23234837861100 is an abundant number, since it is smaller than the sum of its proper divisors (47951672973108).

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

23234837861100 is a wasteful number, since it uses less digits than its factorization.

23234837861100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377764 (or 377757 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 23234837861100 in words is "twenty-three trillion, two hundred thirty-four billion, eight hundred thirty-seven million, eight hundred sixty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 12473 24946 37419 49892 62365 74838 124730 149676 187095 212041 249460 311825 365257 374190 424082 623650 636123 730514 748380 848164 935475 1060205 1095771 1247300 1272246 1461028 1826285 1870950 2120410 2191542 2544492 3180615 3652570 3741900 4240820 4383084 5301025 5478855 6209369 6361230 7305140 9131425 10602050 10957710 12418738 12722460 15903075 18262850 18628107 21204100 21915420 24837476 27394275 31046845 31806150 36525700 37256214 54788550 62093690 63612300 74512428 93140535 109577100 124187380 155234225 186281070 310468450 372562140 465702675 620936900 931405350 1862810700 4555850561 9111701122 13667551683 18223402244 22779252805 27335103366 45558505610 54670206732 68337758415 77449459537 91117011220 113896264025 136675516830 154898919074 227792528050 232348378611 273351033660 309797838148 341688792075 387247297685 455585056100 464696757222 683377584150 774494595370 929393514444 1161741893055 1366755168300 1548989190740 1936236488425 2323483786110 3872472976850 4646967572220 5808709465275 7744945953700 11617418930550 23234837861100