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103033221210312 = 23353338941335783
BaseRepresentation
bin10111011011010101001010…
…100011001110000011001000
3111111210212202100011010221120
4113123111022203032003020
5102001044014112212222
61003044450340035240
730462622162055031
oct2733251243160310
9444725670133846
10103033221210312
112a914164336968
12b680641392b20
134564cb64c4a33
141b62b97c9da88
15bda1e582a15c
hex5db54a8ce0c8

103033221210312 has 128 divisors (see below), whose sum is σ = 262629474681600. Its totient is φ = 33672482235392.

The previous prime is 103033221210287. The next prime is 103033221210329. The reversal of 103033221210312 is 213012122330301.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17816566573 + ... + 17816572355.

It is an arithmetic number, because the mean of its divisors is an integer number (2051792770950).

Almost surely, 2103033221210312 is an apocalyptic number.

103033221210312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103033221210312 is an abundant number, since it is smaller than the sum of its proper divisors (159596253471288).

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

103033221210312 is a wasteful number, since it uses less digits than its factorization.

103033221210312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13367 (or 13363 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103033221210312 its reverse (213012122330301), we get a palindrome (316045343540613).

The spelling of 103033221210312 in words is "one hundred three trillion, thirty-three billion, two hundred twenty-one million, two hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 3389 4133 5783 6778 8266 10167 11566 12399 13556 16532 17349 20334 23132 24798 27112 33064 34698 40668 46264 49596 69396 81336 99192 138792 179617 219049 306499 359234 438098 538851 612998 657147 718468 876196 919497 1077702 1225996 1314294 1436936 1752392 1838994 2155404 2451992 2628588 3677988 4310808 5257176 7355976 14006737 19598587 23901139 28013474 39197174 42020211 47802278 56026948 58795761 71703417 78394348 84040422 95604556 112053896 117591522 143406834 156788696 168080844 191209112 235183044 286813668 336161688 470366088 573627336 742357061 1038725111 1266760367 1484714122 2077450222 2227071183 2533520734 2969428244 3116175333 3800281101 4154900444 4454142366 5067041468 5938856488 6232350666 7600562202 8309800888 8908284732 10134082936 12464701332 15201124404 17816569464 24929402664 30402248808 81000960071 162001920142 243002880213 324003840284 486005760426 648007680568 972011520852 1944023041704 4293050883763 8586101767526 12879152651289 17172203535052 25758305302578 34344407070104 51516610605156 103033221210312