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103353002112332 = 22727318793844301
BaseRepresentation
bin10111011111111110111110…
…111110100011010101001100
3111112221110011102100010000102
4113133332332332203111030
5102021313422020043312
61003451414054350232
730525002511635600
oct2737767676432514
9445843142303012
10103353002112332
112aa27842315675
12b71260735b378
1345891b94b829b
141b74452173500
15be36ae8c6ec2
hex5dffbefa354c

103353002112332 has 72 divisors (see below), whose sum is σ = 213392898401760. Its totient is φ = 43664112979200.

The previous prime is 103353002112323. The next prime is 103353002112389. The reversal of 103353002112332 is 233211200353301.

It is a junction number, because it is equal to n+sod(n) for n = 103353002112295 and 103353002112304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24962582 + ... + 28806882.

It is an arithmetic number, because the mean of its divisors is an integer number (2963790255580).

Almost surely, 2103353002112332 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 103353002112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106696449200880).

103353002112332 is an abundant number, since it is smaller than the sum of its proper divisors (110039896289428).

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

103353002112332 is a wasteful number, since it uses less digits than its factorization.

103353002112332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846271 (or 3846262 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 29.

Adding to 103353002112332 its reverse (233211200353301), we get a palindrome (336564202465633).

The spelling of 103353002112332 in words is "one hundred three trillion, three hundred fifty-three billion, two million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 73 98 146 196 292 511 1022 1879 2044 3577 3758 7154 7516 13153 14308 26306 52612 92071 137167 184142 274334 368284 548668 960169 1920338 3840676 3844301 6721183 7688602 13442366 15377204 26884732 26910107 53820214 107640428 188370749 280633973 376741498 561267946 753482996 1122535892 1964437811 3928875622 7223441579 7857751244 13751064677 14446883158 27502129354 28893766316 50564091053 55004258708 101128182106 202256364212 353948637371 527311235267 707897274742 1054622470534 1415794549484 2109244941068 3691178646869 7382357293738 14764714587476 25838250528083 51676501056166 103353002112332