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11320123302 = 23317234611163
BaseRepresentation
bin10101000101011101…
…10101111110100110
31002012220210211212000
422202232311332212
5141140422421202
65111141310130
7550344313635
oct124256657646
932186724760
1011320123302
114889a07204
12223b105346
1310b534ca17
1479560151c
15463c2591c
hex2a2bb5fa6

11320123302 has 128 divisors (see below), whose sum is σ = 27877893120. Its totient is φ = 3386718720.

The previous prime is 11320123237. The next prime is 11320123307. The reversal of 11320123302 is 20332102311.

11320123302 is a `hidden beast` number, since 1 + 1 + 320 + 12 + 330 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11320123307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9732973 + ... + 9734135.

It is an arithmetic number, because the mean of its divisors is an integer number (217796040).

Almost surely, 211320123302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11320123302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13938946560).

11320123302 is an abundant number, since it is smaller than the sum of its proper divisors (16557769818).

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

11320123302 is a wasteful number, since it uses less digits than its factorization.

11320123302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11320123302 its reverse (20332102311), we get a palindrome (31652225613).

It can be divided in two parts, 113201 and 23302, that added together give a triangular number (136503 = T522).

The spelling of 11320123302 in words is "eleven billion, three hundred twenty million, one hundred twenty-three thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 102 138 153 207 306 391 414 459 461 621 782 918 922 1163 1173 1242 1383 2326 2346 2766 3489 3519 4149 6978 7038 7837 8298 10467 10557 10603 12447 15674 19771 20934 21114 21206 23511 24894 26749 31401 31809 39542 47022 53498 59313 62802 63618 70533 80247 95427 118626 141066 160494 177939 180251 190854 211599 240741 286281 355878 360502 423198 454733 481482 533817 536143 540753 572562 722223 909466 1067634 1072286 1081506 1364199 1444446 1608429 1622259 2728398 3216858 3244518 4092597 4825287 4866777 8185194 9114431 9650574 9733554 12277791 12331289 14475861 18228862 24555582 24662578 27343293 28951722 36993867 54686586 73987734 82029879 110981601 164059758 209631913 221963202 246089637 332944803 419263826 492179274 628895739 665889606 1257791478 1886687217 3773374434 5660061651 11320123302