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219101020434 = 232101284342391
BaseRepresentation
bin1100110000001101110…
…0000100000100010010
3202221112112020001121200
43030003130010010102
512042204330123214
6244353103132030
721554345642142
oct3140334040422
9687475201550
10219101020434
1184a138a55aa
12365685a4016
1317879699a2a
14a866c34922
155a75315d09
hex3303704112

219101020434 has 48 divisors (see below), whose sum is σ = 479599009344. Its totient is φ = 72283428000.

The previous prime is 219101020409. The next prime is 219101020493. The reversal of 219101020434 is 434020101912.

It is a happy number.

219101020434 is a `hidden beast` number, since 219 + 1 + 0 + 10 + 2 + 0 + 434 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 219101020398 and 219101020407.

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 23 ways as a sum of consecutive naturals, for example, 5147379 + ... + 5189769.

It is an arithmetic number, because the mean of its divisors is an integer number (9991646028).

Almost surely, 2219101020434 is an apocalyptic number.

219101020434 is an abundant number, since it is smaller than the sum of its proper divisors (260497988910).

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

219101020434 is a wasteful number, since it uses less digits than its factorization.

219101020434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45343 (or 45340 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 219101020434 in words is "two hundred nineteen billion, one hundred one million, twenty thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 2843 5686 8529 17058 25587 42391 51174 84782 127173 254346 287143 381519 574286 763038 861429 1722858 2584287 4281491 5168574 8562982 12844473 25688946 38533419 77066838 120517613 241035226 361552839 723105678 1084658517 2169317034 12172278913 24344557826 36516836739 73033673478 109550510217 219101020434