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201123212430 = 23574325518731
BaseRepresentation
bin1011101101001111100…
…0001010110010001110
3201020010121210210021210
42323103320022302032
511243400020244210
6232221132235250
720350010045550
oct2732370126216
9636117723253
10201123212430
11783288a0338
1232b8b90bb26
1315c72c3950a
149a3d3434d0
155371d92e20
hex2ed3e0ac8e

201123212430 has 128 divisors (see below), whose sum is σ = 564767318016. Its totient is φ = 44879184000.

The previous prime is 201123212393. The next prime is 201123212447. The reversal of 201123212430 is 34212321102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 201123212397 and 201123212406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23031165 + ... + 23039895.

It is an arithmetic number, because the mean of its divisors is an integer number (4412244672).

Almost surely, 2201123212430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201123212430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282383659008).

201123212430 is an abundant number, since it is smaller than the sum of its proper divisors (363644105586).

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

201123212430 is a wasteful number, since it uses less digits than its factorization.

201123212430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 201123212430 its reverse (34212321102), we get a palindrome (235335533532).

The spelling of 201123212430 in words is "two hundred one billion, one hundred twenty-three million, two hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 430 602 645 903 1290 1505 1806 2551 3010 4515 5102 7653 8731 9030 12755 15306 17462 17857 25510 26193 35714 38265 43655 52386 53571 61117 76530 87310 89285 107142 109693 122234 130965 178570 183351 219386 261930 267855 305585 329079 366702 375433 535710 548465 611170 658158 750866 767851 916755 1096930 1126299 1535702 1645395 1833510 1877165 2252598 2303553 2628031 3290790 3754330 3839255 4607106 5256062 5631495 7678510 7884093 11262990 11517765 13140155 15768186 22272781 23035530 26280310 39420465 44545562 66818343 78840930 111363905 133636686 155909467 222727810 311818934 334091715 467728401 668183430 779547335 935456802 957729583 1559094670 1915459166 2338642005 2873188749 4677284010 4788647915 5746377498 6704107081 9577295830 13408214162 14365943745 20112321243 28731887490 33520535405 40224642486 67041070810 100561606215 201123212430