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10120040393103 = 32293716313074919
BaseRepresentation
bin1001001101000100000101…
…1010011010100110001111
31022211110121000102001020200
42103101001122122212033
52311301320320034403
633305025443144543
72063102015012664
oct223210132324617
938743530361220
1010120040393103
113251980a78073
1211753b9075153
13585414816324
1426db5398ba6b
151283a3726ca3
hex9344169a98f

10120040393103 has 96 divisors (see below), whose sum is σ = 15641013772800. Its totient is φ = 6293011108608.

The previous prime is 10120040393041. The next prime is 10120040393137. The reversal of 10120040393103 is 30139304002101.

10120040393103 is a `hidden beast` number, since 10 + 120 + 0 + 40 + 393 + 103 = 666.

It is not a de Polignac number, because 10120040393103 - 210 = 10120040392079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120040393173) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057334478 + ... + 2057339396.

It is an arithmetic number, because the mean of its divisors is an integer number (162927226800).

Almost surely, 210120040393103 is an apocalyptic number.

10120040393103 is a deficient number, since it is larger than the sum of its proper divisors (5520973379697).

10120040393103 is a wasteful number, since it uses less digits than its factorization.

10120040393103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10120040393103 its reverse (30139304002101), we get a palindrome (40259344395204).

The spelling of 10120040393103 in words is "ten trillion, one hundred twenty billion, forty million, three hundred ninety-three thousand, one hundred three".

Divisors: 1 3 9 29 37 87 111 163 261 333 489 1073 1307 1467 3219 3921 4727 4919 6031 9657 11763 14181 14757 18093 37903 42543 44271 48359 54279 113709 142651 145077 174899 182003 213041 341127 427953 435231 524697 546009 639123 801797 1283859 1402411 1574091 1638027 1917369 2405391 4207233 5278087 6178189 6429133 7216173 7882517 12621699 15834261 18534567 19287399 23252113 23647551 29666489 47502783 55603701 57862197 69756339 70942653 88999467 186444857 209269017 228592993 237877921 266998401 559334571 685778979 713633763 860328181 1047948679 1678003713 2057336937 2140901289 2580984543 3143846037 6898459709 7742953629 9431538111 20695379127 30390511691 38774101123 62086137381 91171535073 116322303369 273514605219 348966910107 1124448932567 3373346797701 10120040393103