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102120220000095 = 3511291129188910007
BaseRepresentation
bin10111001110000010110111…
…011011111111111101011111
3111101120121010201022011010220
4113032002313123333331133
5101341114202310000340
61001105214215332423
730336641151606363
oct2716026733777537
9441517121264126
10102120220000095
112a5a1a3aa15440
12b5536bb081113
1344c9b8433213b
141b30905d152a3
15bc15abc0ced0
hex5ce0b76fff5f

102120220000095 has 128 divisors (see below), whose sum is σ = 184672099584000. Its totient is φ = 47733096284160.

The previous prime is 102120220000067. The next prime is 102120220000103. The reversal of 102120220000095 is 590000022021201.

It is not a de Polignac number, because 102120220000095 - 25 = 102120220000063 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10204873582 + ... + 10204883588.

It is an arithmetic number, because the mean of its divisors is an integer number (1442750778000).

Almost surely, 2102120220000095 is an apocalyptic number.

102120220000095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102120220000095 is a deficient number, since it is larger than the sum of its proper divisors (82551879583905).

102120220000095 is a wasteful number, since it uses less digits than its factorization.

102120220000095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13073.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 102120220000095 its reverse (590000022021201), we get a palindrome (692120242021296).

The spelling of 102120220000095 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty million, ninety-five", and thus it is an aban number.

Divisors: 1 3 5 11 15 29 33 55 87 145 165 319 435 957 1129 1595 1889 3387 4785 5645 5667 9445 10007 12419 16935 20779 28335 30021 32741 37257 50035 54781 62095 62337 98223 103895 110077 150105 163705 164343 186285 273905 290203 311685 330231 360151 491115 550385 602591 821715 870609 1080453 1451015 1651155 1800755 1807773 2132681 3012955 3192233 4353045 5402265 6398043 9038865 9576699 10663405 11297903 15961165 18903223 23459491 31990215 33893709 47883495 56489515 56709669 61847749 70378473 94516115 117297455 124276933 169468545 185543247 207935453 283548345 309238745 327639187 351892365 372830799 548193467 621384665 623806359 680325239 927716235 982917561 1039677265 1638195935 1644580401 1864153995 2040975717 2740967335 3119031795 3401626195 3604031057 4914587805 6030128137 8222902005 10204878585 10812093171 18020155285 18090384411 21341738767 30150640685 54060465855 64025216301 90451922055 106708693835 234759126437 320126081505 618910424243 704277379311 1173795632185 1856731272729 3094552121215 3521386896555 6808014666673 9283656363645 20424044000019 34040073333365 102120220000095