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103340442104451 = 3247317971793691
BaseRepresentation
bin10111011111110011010010…
…010101111011001010000011
3111112220020202002110121021100
4113133303102111323022003
5102021112211134320301
61003441535502025443
730524046330426036
oct2737632225731203
9445806662417240
10103340442104451
112aa22487540872
12b7100a0b78283
134587c6731ac66
141b739c001d01d
15be31c6dd8286
hex5dfcd257b283

103340442104451 has 48 divisors (see below), whose sum is σ = 153084061997568. Its totient is φ = 67145793028800.

The previous prime is 103340442104443. The next prime is 103340442104477. The reversal of 103340442104451 is 154401244043301.

It is a happy number.

103340442104451 is a `hidden beast` number, since 1 + 0 + 33 + 40 + 442 + 104 + 45 + 1 = 666.

It is not a de Polignac number, because 103340442104451 - 23 = 103340442104443 is a prime.

It is a super-3 number, since 3×1033404421044513 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103340442100451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129805516 + ... + 130599206.

It is an arithmetic number, because the mean of its divisors is an integer number (3189251291616).

Almost surely, 2103340442104451 is an apocalyptic number.

103340442104451 is a deficient number, since it is larger than the sum of its proper divisors (49743619893117).

103340442104451 is a wasteful number, since it uses less digits than its factorization.

103340442104451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795032 (or 795029 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 103340442104451 its reverse (154401244043301), we get a palindrome (257741686147752).

The spelling of 103340442104451 in words is "one hundred three trillion, three hundred forty billion, four hundred forty-two million, one hundred four thousand, four hundred fifty-one".

Divisors: 1 3 9 47 141 317 423 951 971 2853 2913 8739 14899 44697 45637 134091 136911 307807 410733 793691 923421 2381073 2770263 7143219 14466929 37303477 43400787 111910431 130202361 251600047 335731293 754800141 770673961 2264400423 2312021883 6936065649 11825202209 35475606627 36221676167 106426819881 108665028501 244303645637 325995085503 732910936911 2198732810733 11482271344939 34446814034817 103340442104451