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102051241316664 = 233312512111258871
BaseRepresentation
bin10111001101000010100111…
…111111001101000100111000
3111101100000002110201222012220
4113031002213333031010320
5101334001420234113124
61001013405411004040
730331646615512143
oct2715024777150470
9441300073658186
10102051241316664
112a575763286652
12b54226a299620
1344c3510679423
141b2b440bd905a
15bbe8c10de879
hex5cd0a7fcd138

102051241316664 has 128 divisors (see below), whose sum is σ = 264533551349760. Its totient is φ = 32772942000000.

The previous prime is 102051241316623. The next prime is 102051241316711. The reversal of 102051241316664 is 466613142150201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394087149 + ... + 394346019.

It is an arithmetic number, because the mean of its divisors is an integer number (2066668369920).

Almost surely, 2102051241316664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102051241316664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132266775674880).

102051241316664 is an abundant number, since it is smaller than the sum of its proper divisors (162482310033096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102051241316664 is a wasteful number, since it uses less digits than its factorization.

102051241316664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261273 (or 261269 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

Adding to 102051241316664 its reverse (466613142150201), we get a palindrome (568664383466865).

The spelling of 102051241316664 in words is "one hundred two trillion, fifty-one billion, two hundred forty-one million, three hundred sixteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 251 372 502 744 753 1004 1506 2008 2111 3012 4222 6024 6333 7781 8444 12666 15562 16888 23343 25332 31124 46686 50664 62248 65441 93372 130882 186744 196323 258871 261764 392646 517742 523528 529861 776613 785292 1035484 1059722 1553226 1570584 1589583 2070968 2119444 3106452 3179166 4238888 6212904 6358332 8025001 12716664 16050002 16425691 24075003 32100004 32851382 48150006 49277073 64200008 64976621 65702764 96300012 98554146 129953242 131405528 192600024 194929863 197108292 259906484 389859726 394216584 519812968 546476681 779719452 1092953362 1559438904 1639430043 2014275251 2185906724 3278860086 4028550502 4371813448 6042825753 6557720172 8057101004 12085651506 13115440344 16114202008 16940777111 24171303012 33881554222 48342606024 50822331333 67763108444 101644662666 135526216888 137165646931 203289325332 274331293862 406578650664 411496940793 548662587724 822993881586 1097325175448 1645987763172 3291975526344 4252135054861 8504270109722 12756405164583 17008540219444 25512810329166 34017080438888 51025620658332 102051241316664