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1201132112310 = 234513443257489
BaseRepresentation
bin10001011110101001000…
…011011000100110110110
311020211022221222101010000
4101132221003120212312
5124134404310043220
62315443101412130
7152531113333014
oct21365103304666
94224287871100
101201132112310
114234408448a9
1217495486a046
138935ccccc50
14421c6a258b4
152139e2b6390
hex117a90d89b6

1201132112310 has 160 divisors (see below), whose sum is σ = 3486014975520. Its totient is φ = 294994732032.

The previous prime is 1201132112293. The next prime is 1201132112311. The reversal of 1201132112310 is 132112311021.

1201132112310 is a `hidden beast` number, since 1 + 20 + 1 + 1 + 321 + 12 + 310 = 666.

It is a super-2 number, since 2×12011321123102 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201132112311) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4536046 + ... + 4793534.

It is an arithmetic number, because the mean of its divisors is an integer number (21787593597).

Almost surely, 21201132112310 is an apocalyptic number.

1201132112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201132112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743007487760).

1201132112310 is an abundant number, since it is smaller than the sum of its proper divisors (2284882863210).

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

1201132112310 is a wasteful number, since it uses less digits than its factorization.

1201132112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257964 (or 257955 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1201132112310 its reverse (132112311021), we get a palindrome (1333244423331).

The spelling of 1201132112310 in words is "one trillion, two hundred one billion, one hundred thirty-two million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 443 585 702 810 886 1053 1170 1329 1755 2106 2215 2658 3510 3987 4430 5265 5759 6645 7974 10530 11518 11961 13290 17277 19935 23922 28795 34554 35883 39870 51831 57590 59805 71766 86385 103662 119610 155493 172770 179415 257489 259155 310986 358830 466479 514978 518310 772467 777465 932958 1287445 1544934 1554930 2317401 2332395 2574890 3347357 3862335 4634802 4664790 6694714 6952203 7724670 10042071 11587005 13904406 16736785 20084142 20856609 23174010 30126213 33473570 34761015 41713218 50210355 60252426 69522030 90378639 100420710 104283045 114067627 150631065 180757278 208566090 228135254 271135917 301262130 342202881 451893195 542271834 570338135 684405762 903786390 1026608643 1140676270 1355679585 1482879151 1711014405 2053217286 2711359170 2965758302 3079825929 3422028810 4448637453 5133043215 6159651858 7414395755 8897274906 9239477787 10266086430 13345912359 14828791510 15399129645 18478955574 22243187265 26691824718 30798259290 40037737077 44486374530 46197388935 66729561795 80075474154 92394777870 120113211231 133459123590 200188685385 240226422462 400377370770 600566056155 1201132112310