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1213012021128 = 2338911313736683
BaseRepresentation
bin10001101001101101001…
…001101000111110001000
311021221222220010021022220
4101221231021220332020
5124333222034134003
62325130001214040
7153431366025465
oct21515511507610
94257886107286
101213012021128
11428487732166
1217710b331320
138a5043081ab
14429d270266c
1521847214353
hex11a6d268f88

1213012021128 has 128 divisors (see below), whose sum is σ = 3116408515200. Its totient is φ = 393353117696.

The previous prime is 1213012021127. The next prime is 1213012021159. The reversal of 1213012021128 is 8211202103121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1213012021098 and 1213012021107.

It is not an unprimeable number, because it can be changed into a prime (1213012021127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33049075 + ... + 33085757.

It is an arithmetic number, because the mean of its divisors is an integer number (24346941525).

Almost surely, 21213012021128 is an apocalyptic number.

It is an amenable number.

1213012021128 is an abundant number, since it is smaller than the sum of its proper divisors (1903396494072).

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

1213012021128 is a wasteful number, since it uses less digits than its factorization.

1213012021128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37031 (or 37027 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 1213012021128 its reverse (8211202103121), we get a palindrome (9424214124249).

The spelling of 1213012021128 in words is "one trillion, two hundred thirteen billion, twelve million, twenty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 89 113 137 178 226 267 274 339 356 411 452 534 548 678 712 822 904 1068 1096 1356 1644 2136 2712 3288 10057 12193 15481 20114 24386 30171 30962 36579 36683 40228 46443 48772 60342 61924 73158 73366 80456 92886 97544 110049 120684 123848 146316 146732 185772 220098 241368 292632 293464 371544 440196 880392 1377809 2755618 3264787 4133427 4145179 5025571 5511236 6529574 8266854 8290358 9794361 10051142 11022472 12435537 13059148 15076713 16533708 16580716 19588722 20102284 24871074 26118296 30153426 33067416 33161432 39177444 40204568 49742148 60306852 78354888 99484296 120613704 368920931 447275819 567889523 737841862 894551638 1106762793 1135779046 1341827457 1475683724 1703668569 1789103276 2213525586 2271558092 2683654914 2951367448 3407337138 3578206552 4427051172 4543116184 5367309828 6814674276 8854102344 10734619656 13629348552 50542167547 101084335094 151626502641 202168670188 303253005282 404337340376 606506010564 1213012021128