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102123120440 = 23511557416693
BaseRepresentation
bin101111100011100000…
…0110010011100111000
3100202121010200000222002
41133013000302130320
53133122004323230
6114525324520132
710243464126005
oct1370700623470
9322533600862
10102123120440
113a3459259a0
12179609b0048
139826634123
144d2b0088ac
1529ca81c545
hex17c7032738

102123120440 has 64 divisors (see below), whose sum is σ = 251116472160. Its totient is φ = 37068920320.

The previous prime is 102123120431. The next prime is 102123120467. The reversal of 102123120440 is 44021321201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36734 + ... + 453426.

Almost surely, 2102123120440 is an apocalyptic number.

102123120440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102123120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125558236080).

102123120440 is an abundant number, since it is smaller than the sum of its proper divisors (148993351720).

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

102123120440 is a wasteful number, since it uses less digits than its factorization.

102123120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417272 (or 417268 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 102123120440 its reverse (44021321201), we get a palindrome (146144441641).

The spelling of 102123120440 in words is "one hundred two billion, one hundred twenty-three million, one hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 557 1114 2228 2785 4456 5570 6127 11140 12254 22280 24508 30635 49016 61270 122540 245080 416693 833386 1666772 2083465 3333544 4166930 4583623 8333860 9167246 16667720 18334492 22918115 36668984 45836230 91672460 183344920 232098001 464196002 928392004 1160490005 1856784008 2320980010 2553078011 4641960020 5106156022 9283920040 10212312044 12765390055 20424624088 25530780110 51061560220 102123120440