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1030102377824 = 25135947598819
BaseRepresentation
bin11101111110101101110…
…00101110010101100000
310122110212121100122211102
432333112320232111200
5113334122202042244
62105120020533532
7134264616512342
oct16772670562540
93573777318742
101030102377824
11367955a349a3
121477832512a8
13761a4927820
1437c00301292
151bbde36454e
hexefd6e2e560

1030102377824 has 96 divisors (see below), whose sum is σ = 2221750944000. Its totient is φ = 467222505984.

The previous prime is 1030102377803. The next prime is 1030102377839. The reversal of 1030102377824 is 4287732010301.

It is a super-2 number, since 2×10301023778242 (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, 116800487 + ... + 116809305.

It is an arithmetic number, because the mean of its divisors is an integer number (23143239000).

Almost surely, 21030102377824 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 1030102377824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110875472000).

1030102377824 is an abundant number, since it is smaller than the sum of its proper divisors (1191648566176).

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

1030102377824 is a wasteful number, since it uses less digits than its factorization.

1030102377824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13660 (or 13652 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 1030102377824 in words is "one trillion, thirty billion, one hundred two million, three hundred seventy-seven thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 416 472 767 944 1534 1888 3068 4759 6136 8819 9518 12272 17638 19036 24544 35276 38072 61867 70552 76144 114647 123734 141104 152288 229294 247468 280781 282208 458588 494936 520321 561562 917176 989872 1040642 1123124 1834352 1979744 2081284 2246248 3650153 3668704 4162568 4492496 6764173 7300306 8325136 8984992 13528346 14600612 16650272 27056692 29201224 41969621 54113384 58402448 83939242 108226768 116804896 167878484 216453536 335756968 545605073 671513936 1091210146 1343027872 2182420292 2476207639 4364840584 4952415278 8729681168 9904830556 17459362336 19809661112 32190699307 39619322224 64381398614 79238644448 128762797228 257525594456 515051188912 1030102377824