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1013078484324 = 223222727392
BaseRepresentation
bin11101011111000000010…
…11101110010101100100
310120211221011220021012100
432233200023232111210
5113044241042444244
62053222443452100
7133123013014644
oct16574013562544
93524834807170
101013078484324
1136070a436825
12144411b27030
13746c09b9a6a
14370673a2524
151b544a1cb69
hexebe02ee564

1013078484324 has 81 divisors (see below), whose sum is σ = 2575653514707. Its totient is φ = 335750248368.

The previous prime is 1013078484311. The next prime is 1013078484403. The reversal of 1013078484324 is 4234848703101.

The square root of 1013078484324 is 1006518.

It is a perfect power (a square), and thus also a powerful number.

1013078484324 is a `hidden beast` number, since 1 + 0 + 130 + 7 + 8 + 484 + 32 + 4 = 666.

It is a super-2 number, since 2×10130784843242 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013078484324.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1370877147 + ... + 1370877885.

Almost surely, 21013078484324 is an apocalyptic number.

1013078484324 is the 1006518-th square number.

It is an amenable number.

1013078484324 is an abundant number, since it is smaller than the sum of its proper divisors (1562575030383).

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

1013078484324 is an frugal number, since it uses more digits than its factorization.

1013078484324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1013078484324 in words is "one trillion, thirteen billion, seventy-eight million, four hundred eighty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 227 454 681 739 908 1362 1478 2043 2217 2724 2956 4086 4434 6651 8172 8868 13302 26604 51529 103058 154587 167753 206116 309174 335506 463761 503259 546121 618348 671012 927522 1006518 1092242 1509777 1638363 1855044 2013036 2184484 3019554 3276726 4915089 6039108 6553452 9830178 19660356 38079931 76159862 114239793 123969467 152319724 228479586 247938934 342719379 371908401 456959172 495877868 685438758 743816802 1115725203 1370877516 1487633604 2231450406 4462900812 28141069009 56282138018 84423207027 112564276036 168846414054 253269621081 337692828108 506539242162 1013078484324