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103212130413 = 37172322771973
BaseRepresentation
bin110000000011111101…
…1000010000001101101
3100212102000211110210210
41200013323002001231
53142334301133123
6115225350053033
710312456430130
oct1400773020155
9325360743723
10103212130413
113a854614237
121800564a179
13996b137722
144dd18c6217
152a41231e93
hex1807ec206d

103212130413 has 96 divisors (see below), whose sum is σ = 174799247616. Its totient is φ = 52877113344.

The previous prime is 103212130291. The next prime is 103212130433. The reversal of 103212130413 is 314031212301.

It is not a de Polignac number, because 103212130413 - 28 = 103212130157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 103212130413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103212130433) 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, 52311295 + ... + 52313267.

It is an arithmetic number, because the mean of its divisors is an integer number (1820825496).

Almost surely, 2103212130413 is an apocalyptic number.

It is an amenable number.

103212130413 is a deficient number, since it is larger than the sum of its proper divisors (71587117203).

103212130413 is a wasteful number, since it uses less digits than its factorization.

103212130413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 103212130413 its reverse (314031212301), we get a palindrome (417243342714).

The spelling of 103212130413 in words is "one hundred three billion, two hundred twelve million, one hundred thirty thousand, four hundred thirteen".

Divisors: 1 3 7 17 21 23 51 69 119 161 277 357 391 483 529 831 1173 1587 1939 1973 2737 3703 4709 5817 5919 6371 8211 8993 11109 13811 14127 19113 26979 32963 33541 41433 44597 45379 62951 98889 100623 108307 133791 136137 146533 188853 234787 317653 324921 439599 546521 704361 758149 771443 952959 1025731 1043717 1639563 2274447 2314329 2491061 3077193 3131151 3825647 5400101 7306019 7473183 9290857 11476941 12569983 16200303 17437427 17743189 21918057 27872571 37709949 52312281 53229567 65035999 87989881 124202323 195107997 213689711 263969643 289109609 372606969 641069133 867328827 1495827977 2023767263 4487483931 4914863353 6071301789 14744590059 34404043471 103212130413