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1131198162084 = 2232103217212
BaseRepresentation
bin10000011101100000101…
…010100010010010100100
311000010211010220121111100
4100131200222202102210
5122013143212141314
62223355410240100
7144504100505214
oct20354052422244
94003733817440
101131198162084
113a6813965a21
12163297b86030
1382896470103
143ca70ac4244
151e6598a0c09
hex10760aa24a4

1131198162084 has 81 divisors (see below), whose sum is σ = 2889127188129. Its totient is φ = 373188248640.

The previous prime is 1131198162079. The next prime is 1131198162089. The reversal of 1131198162084 is 4802618911311.

The square root of 1131198162084 is 1063578.

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

1131198162084 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 19 + 8 + 1 + 620 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1131198162079) and next prime (1131198162089).

It can be written as a sum of positive squares in only one way, i.e., 835436216484 + 295761945600 = 914022^2 + 543840^2 .

It is not an unprimeable number, because it can be changed into a prime (1131198162089) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 657290344 + ... + 657292064.

Almost surely, 21131198162084 is an apocalyptic number.

1131198162084 is the 1063578-th square number.

It is an amenable number.

1131198162084 is an abundant number, since it is smaller than the sum of its proper divisors (1757929026045).

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

1131198162084 is an equidigital number, since it uses as much as digits as its factorization.

1131198162084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3658 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

It can be divided in two parts, 11311981 and 62084, that added together give a triangular number (11374065 = T4769).

The spelling of 1131198162084 in words is "one trillion, one hundred thirty-one billion, one hundred ninety-eight million, one hundred sixty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 103 206 309 412 618 927 1236 1721 1854 3442 3708 5163 6884 10326 10609 15489 20652 21218 30978 31827 42436 61956 63654 95481 127308 177263 190962 354526 381924 531789 709052 1063578 1595367 2127156 2961841 3190734 5923682 6381468 8885523 11847364 17771046 18258089 26656569 35542092 36516178 53313138 54774267 73032356 106626276 109548534 164322801 219097068 305069623 328645602 610139246 657291204 915208869 1220278492 1830417738 2745626607 3660835476 5491253214 10982506428 31422171169 62844342338 94266513507 125688684676 188533027014 282799540521 377066054028 565599081042 1131198162084