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2013212321232 = 243717979741999
BaseRepresentation
bin11101010010111100110…
…011100010010111010000
321010110110020011022101220
4131102330303202113100
5230441024323234412
64140505034525040
7265310164245030
oct35227463422720
97113406138356
102013212321232
11706886964332
12286210896780
13117aca915628
146d6234c78c0
153757cdbe68c
hex1d4bcce25d0

2013212321232 has 160 divisors (see below), whose sum is σ = 5984616960000. Its totient is φ = 571258811904.

The previous prime is 2013212321207. The next prime is 2013212321257. The reversal of 2013212321232 is 2321232123102.

It is an interprime number because it is at equal distance from previous prime (2013212321207) and next prime (2013212321257).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 47913769 + ... + 47955767.

It is an arithmetic number, because the mean of its divisors is an integer number (37403856000).

Almost surely, 22013212321232 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 2013212321232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992308480000).

2013212321232 is an abundant number, since it is smaller than the sum of its proper divisors (3971404638768).

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

2013212321232 is a wasteful number, since it uses less digits than its factorization.

2013212321232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42993 (or 42987 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2013212321232 its reverse (2321232123102), we get a palindrome (4334444444334).

The spelling of 2013212321232 in words is "two trillion, thirteen billion, two hundred twelve million, three hundred twenty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 179 336 358 537 716 797 1074 1253 1432 1594 2148 2391 2506 2864 3188 3759 4296 4782 5012 5579 6376 7518 8592 9564 10024 11158 12752 15036 16737 19128 20048 22316 30072 33474 38256 41999 44632 60144 66948 83998 89264 125997 133896 142663 167996 251994 267792 285326 293993 335992 427989 503988 570652 587986 671984 855978 881979 998641 1007976 1141304 1175972 1711956 1763958 1997282 2015952 2282608 2351944 2995923 3423912 3527916 3994564 4703888 5991846 6847824 7055832 7517821 7989128 11983692 14111664 15035642 15978256 22553463 23967384 30071284 33473203 45106926 47934768 52624747 60142568 66946406 90213852 100419609 105249494 120285136 133892812 157874241 180427704 200839218 210498988 234312421 267785624 315748482 360855408 401678436 420997976 468624842 535571248 631496964 702937263 803356872 841995952 937249684 1262993928 1405874526 1606713744 1874499368 2525987856 2811749052 3748998736 5623498104 5991703337 11246996208 11983406674 17975110011 23966813348 35950220022 41941923359 47933626696 71900440044 83883846718 95867253392 125825770077 143800880088 167767693436 251651540154 287601760176 335535386872 503303080308 671070773744 1006606160616 2013212321232