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55234244100 = 22352771370451
BaseRepresentation
bin110011011100001101…
…111010111000000100
312021120100222022200110
4303130031322320010
51401104431302400
641212501313020
73663520220430
oct633415727004
9167510868613
1055234244100
1121474322122
12a855a05770
1352932b5599
14295d9699c0
15168416be50
hexcdc37ae04

55234244100 has 144 divisors (see below), whose sum is σ = 185214145536. Its totient is φ = 12447120000.

The previous prime is 55234244083. The next prime is 55234244119. The reversal of 55234244100 is 144243255.

55234244100 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36126 + ... + 334325.

It is an arithmetic number, because the mean of its divisors is an integer number (1286209344).

Almost surely, 255234244100 is an apocalyptic number.

55234244100 is a gapful number since it is divisible by the number (50) 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 55234244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92607072768).

55234244100 is an abundant number, since it is smaller than the sum of its proper divisors (129979901436).

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

55234244100 is a wasteful number, since it uses less digits than its factorization.

55234244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370546 (or 370539 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 55234244100 its reverse (144243255), we get a palindrome (55378487355).

The spelling of 55234244100 in words is "fifty-five billion, two hundred thirty-four million, two hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 71 75 84 100 105 140 142 150 175 210 213 284 300 350 355 420 426 497 525 700 710 852 994 1050 1065 1420 1491 1775 1988 2100 2130 2485 2982 3550 4260 4970 5325 5964 7100 7455 9940 10650 12425 14910 21300 24850 29820 37275 49700 74550 149100 370451 740902 1111353 1481804 1852255 2222706 2593157 3704510 4445412 5186314 5556765 7409020 7779471 9261275 10372628 11113530 12965785 15558942 18522550 22227060 25931570 26302021 27783825 31117884 37045100 38897355 51863140 52604042 55567650 64828925 77794710 78906063 105208084 111135300 129657850 131510105 155589420 157812126 184114147 194486775 259315700 263020210 315624252 368228294 388973550 394530315 526040420 552342441 657550525 736456588 777947100 789060630 920570735 1104684882 1315101050 1578121260 1841141470 1972651575 2209369764 2630202100 2761712205 3682282940 3945303150 4602853675 5523424410 7890606300 9205707350 11046848820 13808561025 18411414700 27617122050 55234244100