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10434220002 = 2323137836089
BaseRepresentation
bin10011011011110110…
…11000111111100010
3222221011211021222200
421231323120333202
5132332130020002
64443213314030
7516366256323
oct115573307742
928834737880
1010434220002
114474932a18
122032495916
13ca395079b
1470dab444a
15411080b1c
hex26ded8fe2

10434220002 has 96 divisors (see below), whose sum is σ = 24260221440. Its totient is φ = 3234919680.

The previous prime is 10434219989. The next prime is 10434220057. The reversal of 10434220002 is 20002243401.

10434220002 is a `hidden beast` number, since 10 + 434 + 220 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1710574 + ... + 1716662.

It is an arithmetic number, because the mean of its divisors is an integer number (252710640).

Almost surely, 210434220002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434220002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12130110720).

10434220002 is an abundant number, since it is smaller than the sum of its proper divisors (13826001438).

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

10434220002 is a wasteful number, since it uses less digits than its factorization.

10434220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 6245 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10434220002 its reverse (20002243401), we get a palindrome (30436463403).

The spelling of 10434220002 in words is "ten billion, four hundred thirty-four million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 31 37 62 74 83 93 111 166 186 222 249 279 333 498 558 666 747 1147 1494 2294 2573 3071 3441 5146 6089 6142 6882 7719 9213 10323 12178 15438 18267 18426 20646 23157 27639 36534 46314 54801 55278 95201 109602 188759 190402 225293 285603 377518 450586 505387 566277 571206 675879 856809 1010774 1132554 1351758 1516161 1698831 1713618 2027637 3032322 3397662 4055274 4548483 6984083 9096966 13968166 15666997 18699319 20952249 31333994 37398638 41904498 47000991 56097957 62856747 94001982 112195914 125713494 141002973 168293871 282005946 336587742 579678889 1159357778 1739036667 3478073334 5217110001 10434220002