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1131236321226 = 231124173520607
BaseRepresentation
bin10000011101100010111…
…100000110011111001010
311000010220210201021222220
4100131202330012133022
5122013232444234401
62223403252154510
7144505043035314
oct20354274063712
94003823637886
101131236321226
113a6833459500
121632a8908a36
13828a1340a9b
143ca75bb87b4
151e65cddc336
hex10762f067ca

1131236321226 has 96 divisors (see below), whose sum is σ = 2582407263744. Its totient is φ = 329855961600.

The previous prime is 1131236321213. The next prime is 1131236321233. The reversal of 1131236321226 is 6221236321311.

It is a super-2 number, since 2×11312363212262 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1912615 + ... + 2433221.

It is an arithmetic number, because the mean of its divisors is an integer number (26900075664).

Almost surely, 21131236321226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131236321226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291203631872).

1131236321226 is an abundant number, since it is smaller than the sum of its proper divisors (1451170942518).

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

1131236321226 is a wasteful number, since it uses less digits than its factorization.

1131236321226 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520748 (or 520737 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The spelling of 1131236321226 in words is "one trillion, one hundred thirty-one billion, two hundred thirty-six million, three hundred twenty-one thousand, two hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 41 66 73 82 121 123 146 219 242 246 363 438 451 726 803 902 1353 1606 2409 2706 2993 4818 4961 5986 8833 8979 9922 14883 17666 17958 26499 29766 32923 52998 65846 98769 197538 362153 520607 724306 1041214 1086459 1561821 2172918 3123642 5726677 11453354 17180031 21344887 34360062 38004311 42689774 62993447 64034661 76008622 114012933 125986894 128069322 188980341 228025866 234793757 377960682 418047421 469587514 704381271 836094842 1254142263 1408762542 1558176751 2508284526 2582731327 3116353502 4598521631 4674530253 5165462654 7748193981 9197043262 9349060506 13795564893 15496387962 17139944261 27591129786 34279888522 51419832783 102839665566 188539386871 377078773742 565618160613 1131236321226