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1131223131312 = 243173169164717
BaseRepresentation
bin10000011101100010001…
…001110010010010110000
311000010212212220011211120
4100131202021302102300
5122013221110200222
62223402101342240
7144504522651621
oct20354211622260
94003785804746
101131223131312
113a6826a6a74a
121632a4407980
138289b6a32c1
143ca74143a48
151e65bb8415c
hex107622724b0

1131223131312 has 160 divisors (see below), whose sum is σ = 3198713554944. Its totient is φ = 342943027200.

The previous prime is 1131223131293. The next prime is 1131223131341. The reversal of 1131223131312 is 2131313221311.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

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, 17447178 + ... + 17511894.

Almost surely, 21131223131312 is an apocalyptic number.

1131223131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131223131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599356777472).

1131223131312 is an abundant number, since it is smaller than the sum of its proper divisors (2067490423632).

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

1131223131312 is a wasteful number, since it uses less digits than its factorization.

1131223131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65467 (or 65461 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

Adding to 1131223131312 its reverse (2131313221311), we get a palindrome (3262536352623).

The spelling of 1131223131312 in words is "one trillion, one hundred thirty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 691 744 816 1054 1382 1488 1581 2073 2108 2764 3162 4146 4216 5528 6324 8292 8432 11056 11747 12648 16584 21421 23494 25296 33168 35241 42842 46988 64263 64717 70482 85684 93976 128526 129434 140964 171368 187952 194151 257052 258868 281928 342736 364157 388302 514104 517736 563856 728314 776604 1028208 1035472 1092471 1100189 1456628 1553208 2006227 2184942 2200378 2913256 3106416 3300567 4012454 4369884 4400756 5826512 6018681 6601134 8024908 8739768 8801512 12037362 13202268 16049816 17479536 17603024 24074724 26404536 32099632 34105859 44719447 48149448 52809072 68211718 89438894 96298896 102317577 134158341 136423436 178877788 204635154 268316682 272846872 357755576 409270308 536633364 545693744 715511152 760230599 818540616 1073266728 1386302857 1520461198 1637081232 2146533456 2280691797 2772605714 3040922396 4158908571 4561383594 5545211428 6081844792 8317817142 9122767188 11090422856 12163689584 16635634284 18245534376 22180845712 23567148569 33271268568 36491068752 47134297138 66542537136 70701445707 94268594276 141402891414 188537188552 282805782828 377074377104 565611565656 1131223131312