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102330309978 = 232132513834549
BaseRepresentation
bin101111101001101011…
…1001001110101011010
3100210010120112100120200
41133103113021311122
53134033024404403
6115002045403030
710251561166101
oct1372327116532
9323116470520
10102330309978
113a441879516
12179ba269476
13985a5379a0
144d4a73d038
1529ddae6ca3
hex17d35c9d5a

102330309978 has 96 divisors (see below), whose sum is σ = 240400742400. Its totient is φ = 31272048000.

The previous prime is 102330309973. The next prime is 102330309989. The reversal of 102330309978 is 879903033201.

102330309978 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 309 + 9 + 7 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (102330309973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22492848 + ... + 22497396.

It is an arithmetic number, because the mean of its divisors is an integer number (2504174400).

Almost surely, 2102330309978 is an apocalyptic number.

102330309978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102330309978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120200371200).

102330309978 is an abundant number, since it is smaller than the sum of its proper divisors (138070432422).

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

102330309978 is a wasteful number, since it uses less digits than its factorization.

102330309978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5201 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 102330309978 in words is "one hundred two billion, three hundred thirty million, three hundred nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 251 383 502 753 766 1149 1506 2259 2298 3263 3447 4518 4549 4979 6526 6894 9098 9789 9958 13647 14937 19578 27294 29367 29874 40941 44811 58734 59137 81882 89622 96133 118274 177411 192266 288399 354822 532233 576798 865197 1064466 1141799 1249729 1730394 1742267 2283598 2499458 3425397 3484534 3749187 5226801 6850794 7498374 10276191 10453602 11247561 14843387 15680403 20552382 22495122 22649471 29686774 31360806 44530161 45298942 67948413 89060322 133590483 135896826 203845239 267180966 407690478 437309017 874618034 1311927051 2623854102 3935781153 5685017221 7871562306 11370034442 17055051663 34110103326 51165154989 102330309978