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201321303312 = 24323794575051
BaseRepresentation
bin1011101101111110101…
…1110100110100010000
3201020122102112211220010
42323133223310310100
511244301223201222
6232252530114520
720354633562153
oct2733753646420
9636572484803
10201321303312
117841a699a08
123302611ba40
1315ca4ca585c
149a5b789c9a
15538447180c
hex2edfaf4d10

201321303312 has 160 divisors (see below), whose sum is σ = 550873313280. Its totient is φ = 63225676800.

The previous prime is 201321303301. The next prime is 201321303347. The reversal of 201321303312 is 213303123102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39855187 + ... + 39860237.

It is an arithmetic number, because the mean of its divisors is an integer number (3442958208).

Almost surely, 2201321303312 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 201321303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275436656640).

201321303312 is an abundant number, since it is smaller than the sum of its proper divisors (349552009968).

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

201321303312 is a wasteful number, since it uses less digits than its factorization.

201321303312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201321303312 its reverse (213303123102), we get a palindrome (414624426414).

The spelling of 201321303312 in words is "two hundred one billion, three hundred twenty-one million, three hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 79 92 138 158 184 237 276 316 368 457 474 552 632 914 948 1104 1264 1371 1817 1828 1896 2742 3634 3656 3792 5051 5451 5484 7268 7312 10102 10511 10902 10968 14536 15153 20204 21022 21804 21936 29072 30306 31533 36103 40408 42044 43608 60612 63066 72206 80816 84088 87216 108309 116173 121224 126132 144412 168176 216618 232346 242448 252264 288824 348519 399029 433236 464692 504528 577648 697038 798058 830369 866472 929384 1197087 1394076 1596116 1660738 1732944 1858768 2308307 2394174 2491107 2788152 3192232 3321476 4616614 4788348 4982214 5576304 6384464 6642952 6924921 9177667 9233228 9576696 9964428 13285904 13849842 18355334 18466456 19153392 19928856 27533001 27699684 36710668 36932912 39857712 53091061 55066002 55399368 73421336 106182122 110132004 110798736 146842672 159273183 182356253 212364244 220264008 318546366 364712506 424728488 440528016 547068759 637092732 729425012 849456976 1094137518 1274185464 1458850024 2188275036 2548370928 2917700048 4194193819 4376550072 8388387638 8753100144 12582581457 16776775276 25165162914 33553550552 50330325828 67107101104 100660651656 201321303312