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2013001303032 = 2333232399168901
BaseRepresentation
bin11101010010110000001…
…110100100001111111000
321010102220112002110212000
4131102300032210033320
5230440111313144112
64140432100021000
7265302022520436
oct35226016441770
97112815073760
102013001303032
11706788836225
12286172091760
13117a95ca11a5
146d603477d56
15375695da7dc
hex1d4b03a43f8

2013001303032 has 128 divisors (see below), whose sum is σ = 5837253120000. Its totient is φ = 641555164800.

The previous prime is 2013001303031. The next prime is 2013001303039. The reversal of 2013001303032 is 2303031003102.

2013001303032 is a `hidden beast` number, since 201 + 30 + 0 + 130 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013001302996 and 2013001303014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013001303031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11833782 + ... + 12002682.

It is an arithmetic number, because the mean of its divisors is an integer number (45603540000).

Almost surely, 22013001303032 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 2013001303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918626560000).

2013001303032 is an abundant number, since it is smaller than the sum of its proper divisors (3824251816968).

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

2013001303032 is a wasteful number, since it uses less digits than its factorization.

2013001303032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171338 (or 171328 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2013001303032 its reverse (2303031003102), we get a palindrome (4316032306134).

The spelling of 2013001303032 in words is "two trillion, thirteen billion, one million, three hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2399 2484 4798 4968 7197 9596 14394 19192 21591 28788 43182 55177 57576 64773 86364 110354 129546 165531 168901 172728 220708 259092 331062 337802 441416 496593 506703 518184 662124 675604 993186 1013406 1324248 1351208 1489779 1520109 1986372 2026812 2979558 3040218 3884723 3972744 4053624 4560327 5959116 6080436 7769446 9120654 11654169 11918232 12160872 15538892 18241308 23308338 31077784 34962507 36482616 46616676 69925014 93233352 104887521 139850028 209775042 279700056 405193499 419550084 810386998 839100168 1215580497 1620773996 2431160994 3241547992 3646741491 4862321988 7293482982 9319450477 9724643976 10940224473 14586965964 18638900954 21880448946 27958351431 29173931928 37277801908 43760897892 55916702862 74555603816 83875054293 87521795784 111833405724 167750108586 223666811448 251625162879 335500217172 503250325758 671000434344 1006500651516 2013001303032