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201124010032 = 241147671013593
BaseRepresentation
bin1011101101001111101…
…1001101100000110000
3201020010200022022101121
42323103323031200300
511243400221310112
6232221201312024
720350016610121
oct2732373154060
9636120268347
10201124010032
1178329295610
1232b90035614
1315c7315857a
149a3d4b0048
155371e9e407
hex2ed3ecd830

201124010032 has 160 divisors (see below), whose sum is σ = 445114082304. Its totient is φ = 87242496000.

The previous prime is 201124010029. The next prime is 201124010041. The reversal of 201124010032 is 230010421102.

It is a super-2 number, since 2×2011240100322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201124009988 and 201124010015.

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, 55974828 + ... + 55978420.

Almost surely, 2201124010032 is an apocalyptic number.

201124010032 is a gapful number since it is divisible by the number (22) 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 201124010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222557041152).

201124010032 is an abundant number, since it is smaller than the sum of its proper divisors (243990072272).

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

201124010032 is a wasteful number, since it uses less digits than its factorization.

201124010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3827 (or 3821 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201124010032 its reverse (230010421102), we get a palindrome (431134431134).

The spelling of 201124010032 in words is "two hundred one billion, one hundred twenty-four million, ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 67 88 94 101 134 176 188 202 268 376 404 517 536 737 752 808 1034 1072 1111 1474 1616 2068 2222 2948 3149 3593 4136 4444 4747 5896 6298 6767 7186 8272 8888 9494 11792 12596 13534 14372 17776 18988 25192 27068 28744 34639 37976 39523 50384 52217 54136 57488 69278 74437 75952 79046 104434 108272 138556 148874 158092 168871 208868 240731 277112 297748 316184 318049 337742 362893 417736 481462 554224 595496 632368 636098 675484 725786 835472 962924 1190992 1272196 1350968 1451572 1857581 1925848 2544392 2648041 2701936 2903144 3498539 3715162 3851696 3991823 5088784 5296082 5806288 6997078 7430324 7983646 10592164 11314357 13994156 14860648 15967292 17055971 21184328 22628714 24313831 27988312 29721296 31934584 34111942 42368656 45257428 48627662 55976624 63869168 68223884 90514856 97255324 124457927 136447768 181029712 187615681 194510648 248915854 267452141 272895536 375231362 389021296 497831708 534904282 750462724 995663416 1069808564 1142750057 1500925448 1991326832 2139617128 2285500114 3001850896 4279234256 4571000228 9142000456 12570250627 18284000912 25140501254 50281002508 100562005016 201124010032