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102301232033 = 71113315971787
BaseRepresentation
bin101111101000110100…
…0001110101110100001
3100210001112211001010202
41133101220032232201
53134003103411113
6114555130234545
710251056060540
oct1372150165641
9323045731122
10102301232033
113a427418860
12179b0585a55
1398544c65c0
144d46930157
1529db2a1258
hex17d1a0eba1

102301232033 has 128 divisors (see below), whose sum is σ = 146406113280. Its totient is φ = 68929056000.

The previous prime is 102301232009. The next prime is 102301232071. The reversal of 102301232033 is 330232103201.

It is not a de Polignac number, because 102301232033 - 26 = 102301231969 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102301231996 and 102301232014.

It is not an unprimeable number, because it can be changed into a prime (102301222033) 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 127 ways as a sum of consecutive naturals, for example, 129988466 + ... + 129989252.

It is an arithmetic number, because the mean of its divisors is an integer number (1143797760).

Almost surely, 2102301232033 is an apocalyptic number.

102301232033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102301232033 is a deficient number, since it is larger than the sum of its proper divisors (44104881247).

102301232033 is a wasteful number, since it uses less digits than its factorization.

102301232033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 102301232033 its reverse (330232103201), we get a palindrome (432533335234).

The spelling of 102301232033 in words is "one hundred two billion, three hundred one million, two hundred thirty-two thousand, thirty-three".

Divisors: 1 7 11 13 31 59 71 77 91 143 217 341 403 413 497 649 767 781 787 923 1001 1829 2201 2387 2821 4189 4433 4543 5369 5467 5509 6461 8437 8657 10153 10231 12803 15407 20119 23777 24211 24397 28613 29323 31031 46079 46433 54457 55877 59059 60599 71071 71617 112541 129859 140833 166439 169477 170779 200291 261547 268367 314743 317161 322553 325031 381199 391139 510763 599027 603629 614647 726401 787787 909013 1428449 1439423 1688167 1732187 1830829 1878569 2203201 2220127 3296743 3488771 3575341 4193189 4225403 4302529 5084807 6639919 7990411 9999143 10075961 11817169 12125309 15833653 18569837 18712499 19054057 22518431 23077201 24421397 36264173 42857659 46479433 55932877 102199033 110835571 129988859 130987493 133378399 157629017 205837489 247702741 253849211 300003613 471434249 715393231 1124189363 1328587429 1440862423 1733919187 3300039743 7869325541 9300112003 14614461719 102301232033