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1001240410002 = 2371731449100747
BaseRepresentation
bin11101001000111101001…
…01000011011110010010
310112201101011110210010020
432210132211003132102
5112401020021110002
62043544040444310
7132223446030510
oct16443645033622
93481334423106
101001240410002
11356695122328
12142069479696
137355526b361
14366630954b0
151b0a05d52bc
hexe91e943792

1001240410002 has 128 divisors (see below), whose sum is σ = 2506932633600. Its totient is φ = 259973038080.

The previous prime is 1001240409979. The next prime is 1001240410007. The reversal of 1001240410002 is 2000140421001.

1001240410002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1001240410007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9887793 + ... + 9988539.

It is an arithmetic number, because the mean of its divisors is an integer number (19585411200).

Almost surely, 21001240410002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001240410002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253466316800).

1001240410002 is an abundant number, since it is smaller than the sum of its proper divisors (1505692223598).

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

1001240410002 is a wasteful number, since it uses less digits than its factorization.

1001240410002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101256.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1001240410002 its reverse (2000140421001), we get a palindrome (3001380831003).

The spelling of 1001240410002 in words is "one trillion, one billion, two hundred forty million, four hundred ten thousand, two".

Divisors: 1 2 3 6 7 14 17 21 31 34 42 51 62 93 102 119 186 217 238 357 434 449 527 651 714 898 1054 1302 1347 1581 2694 3143 3162 3689 6286 7378 7633 9429 11067 13919 15266 18858 22134 22899 27838 41757 45798 53431 83514 97433 100747 106862 160293 194866 201494 236623 292299 302241 320586 473246 584598 604482 705229 709869 1410458 1419738 1656361 1712699 2115687 3123157 3312722 3425398 4231374 4969083 5138097 6246314 9369471 9938166 10276194 11988893 18738942 21862099 23977786 35966679 43724198 45235403 53093669 65586297 71933358 90470806 106187338 131172594 135706209 159281007 271412418 316647821 318562014 371655683 633295642 743311366 769001851 949943463 1114967049 1402297493 1538003702 1899886926 2229934098 2307005553 2804594986 4206892479 4614011106 5383012957 8413784958 9816082451 10766025914 16149038871 19632164902 23839057381 29448247353 32298077742 47678114762 58896494706 71517172143 143034344286 166873401667 333746803334 500620205001 1001240410002