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120200342200434 = 23315719771969099
BaseRepresentation
bin11011010101001001010010…
…101100101110000001110010
3120202121001002111222022012000
4123111021102230232001302
5111223330300100403214
61103351135213314430
734214121350612106
oct3325112254560162
9522531074868160
10120200342200434
1135332751612691
121159376b495a16
13520bac7600bc2
142197a2878b906
15dd6a47b72809
hex6d5252b2e072

120200342200434 has 64 divisors (see below), whose sum is σ = 270177758928000. Its totient is φ = 39609488528064.

The previous prime is 120200342200429. The next prime is 120200342200441. The reversal of 120200342200434 is 434002243002021.

120200342200434 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 0 + 0 + 3 + 4 + 220 + 0 + 434 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120200342200398 and 120200342200407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34314384 + ... + 37654715.

It is an arithmetic number, because the mean of its divisors is an integer number (4221527483250).

Almost surely, 2120200342200434 is an apocalyptic number.

120200342200434 is an abundant number, since it is smaller than the sum of its proper divisors (149977416727566).

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

120200342200434 is a wasteful number, since it uses less digits than its factorization.

120200342200434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71969464 (or 71969458 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 120200342200434 its reverse (434002243002021), we get a palindrome (554202585202455).

The spelling of 120200342200434 in words is "one hundred twenty trillion, two hundred billion, three hundred forty-two million, two hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 157 197 314 394 471 591 942 1182 1413 1773 2826 3546 4239 5319 8478 10638 30929 61858 92787 185574 278361 556722 835083 1670166 71969099 143938198 215907297 431814594 647721891 1295443782 1943165673 3886331346 11299148543 14177912503 22598297086 28355825006 33897445629 42533737509 67794891258 85067475018 101692336887 127601212527 203384673774 255202425054 305077010661 382803637581 610154021322 765607275162 2225932262971 4451864525942 6677796788913 13355593577826 20033390366739 40066780733478 60100171100217 120200342200434