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1307037105 = 3251129831097
BaseRepresentation
bin100110111100111…
…1100110110110001
310101002102100211200
41031321330312301
510134100141410
6333410201413
744250426543
oct11571746661
93332370750
101307037105
11610874360
12305883269
1317aa3004a
14c5833693
1579b303c0
hex4de7cdb1

1307037105 has 96 divisors (see below), whose sum is σ = 2589874560. Its totient is φ = 603939840.

The previous prime is 1307037101. The next prime is 1307037131. The reversal of 1307037105 is 5017307031.

It is not a de Polignac number, because 1307037105 - 22 = 1307037101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1307037101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1190917 + ... + 1192013.

It is an arithmetic number, because the mean of its divisors is an integer number (26977860).

Almost surely, 21307037105 is an apocalyptic number.

1307037105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1307037105 is a deficient number, since it is larger than the sum of its proper divisors (1282837455).

1307037105 is a wasteful number, since it uses less digits than its factorization.

1307037105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 1307037105 is about 36152.9681354104. The cubic root of 1307037105 is about 1093.3586342693.

The spelling of 1307037105 in words is "one billion, three hundred seven million, thirty-seven thousand, one hundred five".

Divisors: 1 3 5 9 11 15 29 33 45 55 83 87 99 145 165 249 261 319 415 435 495 747 913 957 1097 1245 1305 1595 2407 2739 2871 3291 3735 4565 4785 5485 7221 8217 9873 12035 12067 13695 14355 16455 21663 26477 31813 36105 36201 41085 49365 60335 79431 91051 95439 108315 108603 132385 159065 181005 238293 273153 286317 349943 397155 455255 477195 543015 819459 1001561 1049829 1191465 1365765 1431585 1749715 2640479 3004683 3149487 4097295 5007805 5249145 7921437 9014049 13202395 15023415 15747435 23764311 29045269 39607185 45070245 87135807 118821555 145226345 261407421 435679035 1307037105