Search a number
-
+
1211012101296 = 243326177107089
BaseRepresentation
bin10001100111110101111…
…100100011010010110000
311021202211111220211002000
4101213311330203102300
5124320123044220141
62324155320054000
7153331003006434
oct21476574432260
94252744824060
101211012101296
1142765083a858
12176851604300
138a275b8b48a
1442882c689c4
152177b86a5b6
hex119f5f234b0

1211012101296 has 80 divisors (see below), whose sum is σ = 3476218504800. Its totient is φ = 403651510272.

The previous prime is 1211012101183. The next prime is 1211012101297. The reversal of 1211012101296 is 6921012101121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1211012101297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11254920 + ... + 11362008.

It is an arithmetic number, because the mean of its divisors is an integer number (43452731310).

Almost surely, 21211012101296 is an apocalyptic number.

1211012101296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1211012101296 is an abundant number, since it is smaller than the sum of its proper divisors (2265206403504).

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

1211012101296 is a wasteful number, since it uses less digits than its factorization.

1211012101296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133283 (or 133271 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1211012101296 in words is "one trillion, two hundred eleven billion, twelve million, one hundred one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 26177 52354 78531 104708 107089 157062 209416 214178 235593 314124 321267 418832 428356 471186 628248 642534 706779 856712 942372 963801 1256496 1285068 1413558 1713424 1884744 1927602 2570136 2827116 2891403 3769488 3855204 5140272 5654232 5782806 7710408 11308464 11565612 15420816 23131224 46262448 2803268753 5606537506 8409806259 11213075012 16819612518 22426150024 25229418777 33639225036 44852300048 50458837554 67278450072 75688256331 100917675108 134556900144 151376512662 201835350216 302753025324 403670700432 605506050648 1211012101296