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2013022032 = 243719476709
BaseRepresentation
bin111011111111100…
…0100011101010000
312012021212010002120
41313333010131100
513110313201112
6531430014240
7100612255620
oct16777043520
95167763076
102013022032
1194333127a
124821a7380
132610865c8
141514c8880
15bbad5e8c
hex77fc4750

2013022032 has 160 divisors (see below), whose sum is σ = 6390067200. Its totient is φ = 533205504.

The previous prime is 2013022027. The next prime is 2013022049. The reversal of 2013022032 is 2302203102.

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, 296694 + ... + 303402.

It is an arithmetic number, because the mean of its divisors is an integer number (39937920).

Almost surely, 22013022032 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 2013022032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195033600).

2013022032 is an abundant number, since it is smaller than the sum of its proper divisors (4377045168).

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

2013022032 is a wasteful number, since it uses less digits than its factorization.

2013022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6793 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2013022032 is about 44866.7140762503. The cubic root of 2013022032 is about 1262.6495919466.

Adding to 2013022032 its reverse (2302203102), we get a palindrome (4315225134).

The spelling of 2013022032 in words is "two billion, thirteen million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 47 48 56 57 76 84 94 112 114 133 141 152 168 188 228 266 282 304 329 336 376 399 456 532 564 658 752 798 893 912 987 1064 1128 1316 1596 1786 1974 2128 2256 2632 2679 3192 3572 3948 5264 5358 6251 6384 6709 7144 7896 10716 12502 13418 14288 15792 18753 20127 21432 25004 26836 37506 40254 42864 46963 50008 53672 75012 80508 93926 100016 107344 127471 140889 150024 161016 187852 254942 281778 300048 315323 322032 375704 382413 509884 563556 630646 751408 764826 892297 945969 1019768 1127112 1261292 1529652 1784594 1891938 2039536 2207261 2254224 2522584 2676891 3059304 3569188 3783876 4414522 5045168 5353782 5991137 6118608 6621783 7138376 7567752 8829044 10707564 11982274 13243566 14276752 15135504 17658088 17973411 21415128 23964548 26487132 35316176 35946822 41937959 42830256 47929096 52974264 71893644 83875918 95858192 105948528 125813877 143787288 167751836 251627754 287574576 335503672 503255508 671007344 1006511016 2013022032