Search a number
-
+
1211310300312 = 23347436210319
BaseRepresentation
bin10001101000000111101…
…110000101110010011000
311021210121022000220020000
4101220013232011302120
5124321230414102222
62324245051333000
7153341253445350
oct21500756056230
94253538026200
101211310300312
114277940a4122
12176915451160
138a2c28a85b8
14428b06cdb60
1521797b209ac
hex11a07b85c98

1211310300312 has 160 divisors (see below), whose sum is σ = 3967649241600. Its totient is φ = 338040029376.

The previous prime is 1211310300311. The next prime is 1211310300323. The reversal of 1211310300312 is 2130030131121.

1211310300312 is a `hidden beast` number, since 1 + 2 + 11 + 310 + 30 + 0 + 312 = 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 (1211310300311) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2910112 + ... + 3300207.

It is an arithmetic number, because the mean of its divisors is an integer number (24797807760).

Almost surely, 21211310300312 is an apocalyptic number.

1211310300312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1211310300312 is an abundant number, since it is smaller than the sum of its proper divisors (2756338941288).

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

1211310300312 is a wasteful number, since it uses less digits than its factorization.

1211310300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210387 (or 6210374 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1211310300312 its reverse (2130030131121), we get a palindrome (3341340431433).

The spelling of 1211310300312 in words is "one trillion, two hundred eleven billion, three hundred ten million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 43 54 56 63 72 81 84 86 108 126 129 162 168 172 189 216 252 258 301 324 344 378 387 504 516 567 602 648 756 774 903 1032 1134 1161 1204 1512 1548 1806 2268 2322 2408 2709 3096 3483 3612 4536 4644 5418 6966 7224 8127 9288 10836 13932 16254 21672 24381 27864 32508 48762 65016 97524 195048 6210319 12420638 18630957 24841276 37261914 43472233 49682552 55892871 74523828 86944466 111785742 130416699 149047656 167678613 173888932 223571484 260833398 267043717 335357226 347777864 391250097 447142968 503035839 521666796 534087434 670714452 782500194 801131151 1006071678 1043333592 1068174868 1173750291 1341428904 1565000388 1602262302 1869306019 2012143356 2136349736 2347500582 2403393453 3130000776 3204524604 3521250873 3738612038 4024286712 4695001164 4806786906 5607918057 6409049208 7042501746 7210180359 7477224076 9390002328 9613573812 11215836114 14085003492 14420360718 14954448152 16823754171 19227147624 21630541077 22431672228 28170006984 28840721436 33647508342 43261082154 44863344456 50471262513 57681442872 67295016684 86522164308 100942525026 134590033368 151413787539 173044328616 201885050052 302827575078 403770100104 605655150156 1211310300312