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1030102848464 = 242331149606017
BaseRepresentation
bin11101111110101101110…
…10100001001111010000
310122110212122020120102112
432333112322201033100
5113334122312122324
62105120035004452
7134264623512434
oct16772672411720
93573778216375
101030102848464
11367956226558
12147783439728
13761a4a60b01
1437c003c49c4
151bbde408c0e
hexefd6ea13d0

1030102848464 has 80 divisors (see below), whose sum is σ = 2164211481600. Its totient is φ = 473565143040.

The previous prime is 1030102848421. The next prime is 1030102848473. The reversal of 1030102848464 is 4648482010301.

It is a super-2 number, since 2×10301028484642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1396784 + ... + 2002800.

It is an arithmetic number, because the mean of its divisors is an integer number (27052643520).

Almost surely, 21030102848464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030102848464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082105740800).

1030102848464 is an abundant number, since it is smaller than the sum of its proper divisors (1134108633136).

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

1030102848464 is a wasteful number, since it uses less digits than its factorization.

1030102848464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606228 (or 606222 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

Adding to 1030102848464 its reverse (4648482010301), we get a palindrome (5678584858765).

The spelling of 1030102848464 in words is "one trillion, thirty billion, one hundred two million, eight hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 149 184 248 298 368 496 596 713 1192 1426 2384 2852 3427 4619 5704 6854 9238 11408 13708 18476 27416 36952 54832 73904 106237 212474 424948 606017 849896 1212034 1699792 2424068 4848136 9696272 13938391 18786527 27876782 37573054 55753564 75146108 90296533 111507128 150292216 180593066 223014256 300584432 361186132 432090121 722372264 864180242 1444744528 1728360484 2076820259 2799192523 3456720968 4153640518 5598385046 6913441936 8307281036 11196770092 16614562072 22393540184 33229124144 44787080368 64381428029 128762856058 257525712116 515051424232 1030102848464