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102134421433120 = 2554978131282289
BaseRepresentation
bin10111001110010000000101…
…111010001010101100100000
3111101121221210102210200212211
4113032100011322022230200
5101341332243341324440
61001115523325331504
730340653114031246
oct2716200572125440
9441557712720784
10102134421433120
112a5a7a6829524a
12b556403106b94
1344cb3085aa64b
141b31492064796
15bc1b3d87eeea
hex5ce405e8ab20

102134421433120 has 48 divisors (see below), whose sum is σ = 241293243514680. Its totient is φ = 40853654646784.

The previous prime is 102134421433111. The next prime is 102134421433169. The reversal of 102134421433120 is 21334124431201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102058728217744 + 75693215376 = 10102412^2 + 275124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79008936 + ... + 80291224.

Almost surely, 2102134421433120 is an apocalyptic number.

102134421433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102134421433120 is an abundant number, since it is smaller than the sum of its proper divisors (139158822081560).

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

102134421433120 is a wasteful number, since it uses less digits than its factorization.

102134421433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780117 (or 1780109 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 102134421433120 its reverse (21334124431201), we get a palindrome (123468545864321).

The spelling of 102134421433120 in words is "one hundred two trillion, one hundred thirty-four billion, four hundred twenty-one million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 497813 995626 1282289 1991252 2489065 2564578 3982504 4978130 5129156 6411445 7965008 9956260 10258312 12822890 15930016 19912520 20516624 25645780 39825040 41033248 51291560 79650080 102583120 205166240 638340133957 1276680267914 2553360535828 3191700669785 5106721071656 6383401339570 10213442143312 12766802679140 20426884286624 25533605358280 51067210716560 102134421433120