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420433434102 = 231131251818687
BaseRepresentation
bin1100001111000111100…
…10010001010111110110
31111012012201200101001110
412013203302101113312
523342021424342402
6521051111335450
742242506140123
oct6074362212766
91435181611043
10420433434102
11152339792920
1269596381586
1330853a62656
14164c5c7374a
15ae0a72e56c
hex61e3c915f6

420433434102 has 64 divisors (see below), whose sum is σ = 950673604608. Its totient is φ = 122802900000.

The previous prime is 420433434079. The next prime is 420433434137. The reversal of 420433434102 is 201434334024.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 420433434102.

It is a congruent number.

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, 104203 + ... + 922889.

It is an arithmetic number, because the mean of its divisors is an integer number (14854275072).

Almost surely, 2420433434102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420433434102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475336802304).

420433434102 is an abundant number, since it is smaller than the sum of its proper divisors (530240170506).

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

420433434102 is a wasteful number, since it uses less digits than its factorization.

420433434102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818985.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 420433434102 its reverse (201434334024), we get a palindrome (621867768126).

The spelling of 420433434102 in words is "four hundred twenty billion, four hundred thirty-three million, four hundred thirty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 251 341 502 682 753 1023 1506 2046 2761 5522 7781 8283 15562 16566 23343 46686 85591 171182 256773 513546 818687 1637374 2456061 4912122 9005557 18011114 25379297 27016671 50758594 54033342 76137891 152275782 205490437 279172267 410980874 558344534 616471311 837516801 1232942622 1675033602 2260394807 4520789614 6370203547 6781184421 12740407094 13562368842 19110610641 38221221282 70072239017 140144478034 210216717051 420433434102