Search a number
-
+
3101010011320 = 2351341166787253
BaseRepresentation
bin101101001000000010100…
…110011010010010111000
3101222110020201102111202111
4231020002212122102320
5401301332030330240
610332330114342104
7440016630121024
oct55100246322270
911873221374674
103101010011320
11a96149343281
12420bb5b8a934
13196568673580
14aa13814d384
15559e748b1ea
hex2d20299a4b8

3101010011320 has 128 divisors (see below), whose sum is σ = 7701959442240. Its totient is φ = 1116378869760.

The previous prime is 3101010011287. The next prime is 3101010011321. The reversal of 3101010011320 is 231100101013.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3101010011320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101010011321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35496814 + ... + 35584066.

Almost surely, 23101010011320 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 3101010011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850979721120).

3101010011320 is an abundant number, since it is smaller than the sum of its proper divisors (4600949430920).

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

3101010011320 is a wasteful number, since it uses less digits than its factorization.

3101010011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88985 (or 88981 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 3101010011320 its reverse (231100101013), we get a palindrome (3332110112333).

The spelling of 3101010011320 in words is "three trillion, one hundred one billion, ten million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 41 52 65 82 104 130 164 205 260 328 410 520 533 820 1066 1640 1667 2132 2665 3334 4264 5330 6668 8335 10660 13336 16670 21320 21671 33340 43342 66680 68347 86684 87253 108355 136694 173368 174506 216710 273388 341735 349012 433420 436265 546776 683470 698024 866840 872530 888511 1134289 1366940 1745060 1777022 2268578 2733880 3490120 3554044 3577373 4442555 4537156 5671445 7108088 7154746 8885110 9074312 11342890 14309492 17770220 17886865 22685780 28618984 35540440 35773730 45371560 46505849 71547460 93011698 143094920 145450751 186023396 232529245 290901502 372046792 465058490 581803004 727253755 930116980 1163606008 1454507510 1860233960 1890859763 2909015020 3781719526 5818030040 5963480791 7563439052 9454298815 11926961582 15126878104 18908597630 23853923164 29817403955 37817195260 47707846328 59634807910 75634390520 77525250283 119269615820 155050500566 238539231640 310101001132 387626251415 620202002264 775252502830 1550505005660 3101010011320