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201302028288 = 2123241133187
BaseRepresentation
bin1011101101111010001…
…0010011000000000000
3201020121002021120112100
42323132202103000000
511244231304401123
6232251001030400
720354311002564
oct2733642230000
9636532246470
10201302028288
117840a824339
123301b785400
1315ca0cb740a
149a58dad6a4
155382915643
hex2ede893000

201302028288 has 156 divisors (see below), whose sum is σ = 595654827768. Its totient is φ = 65463582720.

The previous prime is 201302028287. The next prime is 201302028349. The reversal of 201302028288 is 882820203102.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201302028287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1444831 + ... + 1578017.

It is an arithmetic number, because the mean of its divisors is an integer number (3818300178).

Almost surely, 2201302028288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201302028288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297827413884).

201302028288 is an abundant number, since it is smaller than the sum of its proper divisors (394352799480).

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

201302028288 is a wasteful number, since it uses less digits than its factorization.

201302028288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133258 (or 133233 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 201302028288 in words is "two hundred one billion, three hundred two million, twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 128 144 164 192 246 256 288 328 369 384 492 512 576 656 738 768 984 1024 1152 1312 1476 1536 1968 2048 2304 2624 2952 3072 3936 4096 4608 5248 5904 6144 7872 9216 10496 11808 12288 15744 18432 20992 23616 31488 36864 41984 47232 62976 83968 94464 125952 133187 167936 188928 251904 266374 377856 399561 503808 532748 755712 799122 1065496 1198683 1511424 1598244 2130992 2397366 3196488 4261984 4794732 5460667 6392976 8523968 9589464 10921334 12785952 16382001 17047936 19178928 21842668 25571904 32764002 34095872 38357856 43685336 49146003 51143808 65528004 68191744 76715712 87370672 98292006 102287616 131056008 136383488 153431424 174741344 196584012 204575232 262112016 272766976 306862848 349482688 393168024 409150464 524224032 545533952 613725696 698965376 786336048 818300928 1048448064 1227451392 1397930752 1572672096 1636601856 2096896128 2454902784 2795861504 3145344192 4193792256 4909805568 5591723008 6290688384 8387584512 11183446016 12581376768 16775169024 22366892032 25162753536 33550338048 50325507072 67100676096 100651014144 201302028288