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102421234240 = 26513187113159
BaseRepresentation
bin101111101100011001…
…0000000001001000000
3100210100220121210012221
41133120302000021000
53134224313443430
6115015054300424
710254044061313
oct1373062001100
9323326553187
10102421234240
113a489131236
1217a247b7714
139873321520
144d5884a97a
1529e6aa757a
hex17d8c80240

102421234240 has 112 divisors (see below), whose sum is σ = 262811727360. Its totient is φ = 37793986560.

The previous prime is 102421234219. The next prime is 102421234277. The reversal of 102421234240 is 42432124201.

102421234240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7776781 + ... + 7789939.

It is an arithmetic number, because the mean of its divisors is an integer number (2346533280).

Almost surely, 2102421234240 is an apocalyptic number.

102421234240 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 102421234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131405863680).

102421234240 is an abundant number, since it is smaller than the sum of its proper divisors (160390493120).

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

102421234240 is a wasteful number, since it uses less digits than its factorization.

102421234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15060 (or 15050 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 102421234240 its reverse (42432124201), we get a palindrome (144853358441).

The spelling of 102421234240 in words is "one hundred two billion, four hundred twenty-one million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 1871 2080 3742 4160 7484 9355 13159 14968 18710 24323 26318 29936 37420 48646 52636 59872 65795 74840 97292 105272 119744 121615 131590 149680 171067 194584 210544 243230 263180 299360 342134 389168 421088 486460 526360 598720 684268 778336 842176 855335 972920 1052720 1368536 1556672 1710670 1945840 2105440 2737072 3421340 3891680 4210880 5474144 6842680 7783360 10948288 13685360 24620489 27370720 49240978 54741440 98481956 123102445 196963912 246204890 320066357 393927824 492409780 640132714 787855648 984819560 1280265428 1575711296 1600331785 1969639120 2560530856 3200663570 3939278240 5121061712 6401327140 7878556480 10242123424 12802654280 20484246848 25605308560 51210617120 102421234240