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102122221320984 = 23319599373876861
BaseRepresentation
bin10111001110000100101110…
…101110011011101100011000
3111101120210022012010210021210
4113032010232232123230120
5101341132302124232414
61001110144550503120
730340041562552224
oct2716045656335430
9441523265123253
10102122221320984
112a5a2877684447
12b553b79364aa0
1344ca112b4c797
141b30a55a35784
15bc1677781e59
hex5ce12eb9bb18

102122221320984 has 64 divisors (see below), whose sum is σ = 269191340640000. Its totient is φ = 32195284168320.

The previous prime is 102122221320983. The next prime is 102122221321027. The reversal of 102122221320984 is 489023122221201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102122221320983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186665287 + ... + 187211574.

It is an arithmetic number, because the mean of its divisors is an integer number (4206114697500).

Almost surely, 2102122221320984 is an apocalyptic number.

It is an amenable number.

102122221320984 is an abundant number, since it is smaller than the sum of its proper divisors (167069119319016).

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

102122221320984 is a wasteful number, since it uses less digits than its factorization.

102122221320984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373877488 (or 373877484 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 102122221320984 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twenty-one million, three hundred twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 599 1198 1797 2396 3594 4792 7188 11381 14376 22762 34143 45524 68286 91048 136572 273144 373876861 747753722 1121630583 1495507444 2243261166 2991014888 4486522332 7103660359 8973044664 14207320718 21310981077 28414641436 42621962154 56829282872 85243924308 170487848616 223952239739 447904479478 671856719217 895808958956 1343713438434 1791617917912 2687426876868 4255092555041 5374853753736 8510185110082 12765277665123 17020370220164 25530555330246 34040740440328 51061110660492 102122221320984