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102132433140 = 22353347508577
BaseRepresentation
bin101111100011110010…
…0010100000011110100
3100202121210012011120220
41133013210110003310
53133131400330030
6114530300254340
710243636233513
oct1370744240364
9322553164526
10102132433140
113a350106741
1217963b413b0
139828544bba
144d2c35067a
1529cb55ba10
hex17c79140f4

102132433140 has 48 divisors (see below), whose sum is σ = 286056816192. Its totient is φ = 27227124736.

The previous prime is 102132433097. The next prime is 102132433141. The reversal of 102132433140 is 41334231201.

It is a happy number.

102132433140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102132433140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132433141) 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, 53469 + ... + 455108.

It is an arithmetic number, because the mean of its divisors is an integer number (5959517004).

Almost surely, 2102132433140 is an apocalyptic number.

102132433140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102132433140 is an abundant number, since it is smaller than the sum of its proper divisors (183924383052).

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

102132433140 is a wasteful number, since it uses less digits than its factorization.

102132433140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511936 (or 511934 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102132433140 its reverse (41334231201), we get a palindrome (143466664341).

The spelling of 102132433140 in words is "one hundred two billion, one hundred thirty-two million, four hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3347 6694 10041 13388 16735 20082 33470 40164 50205 66940 100410 200820 508577 1017154 1525731 2034308 2542885 3051462 5085770 6102924 7628655 10171540 15257310 30514620 1702207219 3404414438 5106621657 6808828876 8511036095 10213243314 17022072190 20426486628 25533108285 34044144380 51066216570 102132433140