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11301301312312 = 23111773677152857
BaseRepresentation
bin1010010001110100101000…
…0011001101101100111000
31111000101122010020012221211
42210131022003031230320
52440130031113443222
640011425100212504
72244330532113304
oct244351203155470
944011563205854
1011301301312312
113667944a6a430
121326326b3a134
1363c928a2a03b
142b0db345ad04
15148e8d217277
hexa474a0cdb38

11301301312312 has 128 divisors (see below), whose sum is σ = 24848180706240. Its totient is φ = 4761476628480.

The previous prime is 11301301312309. The next prime is 11301301312387. The reversal of 11301301312312 is 21321310310311.

It is a super-2 number, since 2×113013013123122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73857388 + ... + 74010244.

Almost surely, 211301301312312 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 11301301312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424090353120).

11301301312312 is an abundant number, since it is smaller than the sum of its proper divisors (13546879393928).

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

11301301312312 is a wasteful number, since it uses less digits than its factorization.

11301301312312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153641 (or 153637 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11301301312312 its reverse (21321310310311), we get a palindrome (32622611622623).

It can be divided in two parts, 1130130 and 1312312, that added together give a palindrome (2442442).

The spelling of 11301301312312 in words is "eleven trillion, three hundred one billion, three hundred one million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 73 88 136 146 187 292 374 584 677 748 803 1241 1354 1496 1606 2482 2708 3212 4964 5416 6424 7447 9928 11509 13651 14894 23018 27302 29788 46036 49421 54604 59576 92072 98842 109208 126599 152857 197684 253198 305714 395368 506396 543631 611428 840157 1012792 1087262 1222856 1680314 1681427 2174524 2598569 3360628 3362854 4349048 5197138 6721256 6725708 9241727 10394276 11158561 13451416 18483454 20788552 22317122 28584259 36966908 44634244 57168518 73933816 89268488 103484189 114337036 122744171 189695537 206968378 228674072 245488342 379391074 413936756 490976684 758782148 827873512 981953368 1138326079 1517564296 1759231213 2086650907 2276652158 3518462426 4173301814 4553304316 7036924852 7554345797 8346603628 9106608632 14073849704 15108691594 16693207256 19351543343 30217383188 38703086686 60434766376 77406173372 83097803767 128423878549 154812346744 166195607534 256847757098 332391215068 513695514196 664782430136 1027391028392 1412662664039 2825325328078 5650650656156 11301301312312