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5103435435 = 3571941431451
BaseRepresentation
bin1001100000011000…
…00011111010101011
3111011200000101022020
410300030003322223
540422434413220
62202224155523
7240316325340
oct46014037253
914150011266
105103435435
11218983563a
12ba5168ba3
13634405ca7
14365b087c7
151ed089040
hex130303eab

5103435435 has 128 divisors (see below), whose sum is σ = 10303856640. Its totient is φ = 2104704000.

The previous prime is 5103435413. The next prime is 5103435439. The reversal of 5103435435 is 5345343015.

It is not a de Polignac number, because 5103435435 - 26 = 5103435371 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5103435396 and 5103435405.

It is not an unprimeable number, because it can be changed into a prime (5103435439) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3516460 + ... + 3517910.

It is an arithmetic number, because the mean of its divisors is an integer number (80498880).

Almost surely, 25103435435 is an apocalyptic number.

5103435435 is an abundant number, since it is smaller than the sum of its proper divisors (5200421205).

5103435435 is a wasteful number, since it uses less digits than its factorization.

5103435435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569.

The product of its (nonzero) digits is 54000, while the sum is 33.

The square root of 5103435435 is about 71438.3330922552. Note that the first 3 decimals coincide. The cubic root of 5103435435 is about 1721.6870317790.

The spelling of 5103435435 in words is "five billion, one hundred three million, four hundred thirty-five thousand, four hundred thirty-five".

Divisors: 1 3 5 7 15 19 21 35 41 43 57 95 105 123 129 133 205 215 285 287 301 399 615 645 665 779 817 861 903 1435 1451 1505 1763 1995 2337 2451 3895 4085 4305 4353 4515 5289 5453 5719 7255 8815 10157 11685 12255 12341 16359 17157 21765 26445 27265 27569 28595 30471 33497 37023 50785 59491 61705 62393 81795 82707 85785 100491 137845 152355 167485 178473 185115 187179 192983 234479 297455 311965 413535 416437 436751 502455 578949 703437 892365 935895 964915 1130329 1172395 1185467 1249311 1310253 2082185 2183755 2558113 2894745 3390987 3517185 3556401 5651645 5927335 6246555 6551265 7674339 7912303 8298269 12790565 16954935 17782005 17906791 23736909 24894807 38371695 39561515 41491345 48604147 53720373 89533955 118684545 124474035 145812441 243020735 268601865 340229029 729062205 1020687087 1701145145 5103435435