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3313201001064 = 2331961926994349
BaseRepresentation
bin110000001101101010001…
…010110011001001101000
3102201201221200012122021120
4300031222022303021220
5413240413424013224
611014021415535240
7461241131561133
oct60155212631150
912651850178246
103313201001064
111068136654509
1245615438a520
131b0583578336
14b650736721a
155b2b5d0a779
hex3036a2b3268

3313201001064 has 128 divisors (see below), whose sum is σ = 8738280000000. Its totient is φ = 1043956608768.

The previous prime is 3313201001063. The next prime is 3313201001177. The reversal of 3313201001064 is 4601001023133.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3313201001063) 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, 761828362 + ... + 761832710.

It is an arithmetic number, because the mean of its divisors is an integer number (68267812500).

Almost surely, 23313201001064 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 3313201001064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369140000000).

3313201001064 is an abundant number, since it is smaller than the sum of its proper divisors (5425078998936).

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

3313201001064 is a wasteful number, since it uses less digits than its factorization.

3313201001064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7695 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3313201001064 its reverse (4601001023133), we get a palindrome (7914202024197).

The spelling of 3313201001064 in words is "three trillion, three hundred thirteen billion, two hundred one million, one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 619 1238 1857 2476 2699 3714 4349 4952 5398 7428 8097 8698 10796 11761 13047 14856 16194 17396 21592 23522 26094 32388 34792 35283 47044 51281 52188 64776 70566 82631 94088 102562 104376 141132 153843 165262 205124 247893 282264 307686 330524 410248 495786 615372 661048 991572 1230744 1670681 1983144 2692031 3341362 5012043 5384062 6682724 8076093 10024086 10768124 11737951 13365448 16152186 20048172 21536248 23475902 31742939 32304372 35213853 40096344 46951804 51148589 63485878 64608744 70427706 93903608 95228817 102297178 126971756 140855412 153445767 190457634 204594356 223021069 253943512 281710824 306891534 380915268 409188712 446042138 613783068 669063207 761830536 892084276 1227566136 1338126414 1784168552 2676252828 5352505656 7265791669 14531583338 21797375007 29063166676 43594750014 58126333352 87189500028 138050041711 174379000056 276100083422 414150125133 552200166844 828300250266 1104400333688 1656600500532 3313201001064