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201103441400 = 235217541109331
BaseRepresentation
bin1011101101001010110…
…0101111110111111000
3201020002020121022112102
42323102230233313320
511243324440111100
6232215144402532
720346350022221
oct2732254576770
9636066538472
10201103441400
1178318717044
1232b85176448
1315c6bb06394
149a3a878248
155370289cd5
hex2ed2b2fdf8

201103441400 has 96 divisors (see below), whose sum is σ = 495988991280. Its totient is φ = 75568896000.

The previous prime is 201103441387. The next prime is 201103441433. The reversal of 201103441400 is 4144301102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1784735 + ... + 1894065.

Almost surely, 2201103441400 is an apocalyptic number.

201103441400 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 201103441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247994495640).

201103441400 is an abundant number, since it is smaller than the sum of its proper divisors (294885549880).

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

201103441400 is a wasteful number, since it uses less digits than its factorization.

201103441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109905 (or 109896 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 201103441400 its reverse (4144301102), we get a palindrome (205247742502).

The spelling of 201103441400 in words is "two hundred one billion, one hundred three million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 541 680 850 1082 1700 2164 2705 3400 4328 5410 9197 10820 13525 18394 21640 27050 36788 45985 54100 73576 91970 108200 109331 183940 218662 229925 367880 437324 459850 546655 874648 919700 1093310 1839400 1858627 2186620 2733275 3717254 4373240 5466550 7434508 9293135 10933100 14869016 18586270 21866200 37172540 46465675 59148071 74345080 92931350 118296142 185862700 236592284 295740355 371725400 473184568 591480710 1005517207 1182961420 1478701775 2011034414 2365922840 2957403550 4022068828 5027586035 5914807100 8044137656 10055172070 11829614200 20110344140 25137930175 40220688280 50275860350 100551720700 201103441400