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103590690291712 = 2181322338267
BaseRepresentation
bin10111100011011100010110…
…010011000000000000000000
3111120210011200022120200022101
4113203130112103000000000
5102034212213203313322
61004152523421120144
730551115606060601
oct2743342623000000
9446704608520271
10103590690291712
113000962407a858
12b7506a06b9054
1345a5738936400
141b81b5d797da8
15be99718c9327
hex5e37164c0000

103590690291712 has 114 divisors (see below), whose sum is σ = 224344003229628. Its totient is φ = 47811067379712.

The previous prime is 103590690291701. The next prime is 103590690291721. The reversal of 103590690291712 is 217192096095301.

It is a super-3 number, since 3×1035906902917123 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43133203 + ... + 45471469.

Almost surely, 2103590690291712 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 103590690291712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112172001614814).

103590690291712 is an abundant number, since it is smaller than the sum of its proper divisors (120753312937916).

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

103590690291712 is an frugal number, since it uses more digits than its factorization.

103590690291712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338329 (or 2338282 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 55.

The spelling of 103590690291712 in words is "one hundred three trillion, five hundred ninety billion, six hundred ninety million, two hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2048 2704 3328 4096 5408 6656 8192 10816 13312 16384 21632 26624 32768 43264 53248 65536 86528 106496 131072 173056 212992 262144 346112 425984 692224 851968 1384448 1703936 2338267 2768896 3407872 4676534 5537792 9353068 11075584 18706136 22151168 30397471 37412272 44302336 60794942 74824544 121589884 149649088 243179768 299298176 395167123 486359536 598596352 790334246 972719072 1197192704 1580668492 1945438144 2394385408 3161336984 3890876288 4788770816 6322673968 7781752576 9577541632 12645347936 15563505152 19155083264 25290695872 31127010304 38310166528 50581391744 62254020608 76620333056 101162783488 124508041216 153240666112 202325566976 249016082432 306481332224 404651133952 498032164864 612962664448 809302267904 996064329728 1618604535808 1992128659456 3237209071616 3984257318912 6474418143232 7968514637824 12948836286464 25897672572928 51795345145856 103590690291712