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10103211312 = 243231191079
BaseRepresentation
bin10010110100011001…
…01100010100110000
3222002002222022102120
421122030230110300
5131142410230222
64350310514240
7505236610365
oct113214542460
928062868376
1010103211312
114314aaa217
121b5b665980
13c501b685c
146bbb4c46c
153e1e9915c
hex25a32c530

10103211312 has 40 divisors (see below), whose sum is σ = 26111543040. Its totient is φ = 3366242880.

The previous prime is 10103211289. The next prime is 10103211317. The reversal of 10103211312 is 21311230101.

It is a happy number.

It is a super-2 number, since 2×101032113122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10103211291 and 10103211300.

It is not an unprimeable number, because it can be changed into a prime (10103211317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65389 + ... + 156467.

It is an arithmetic number, because the mean of its divisors is an integer number (652788576).

Almost surely, 210103211312 is an apocalyptic number.

10103211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103211312 is an abundant number, since it is smaller than the sum of its proper divisors (16008331728).

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

10103211312 is a wasteful number, since it uses less digits than its factorization.

10103211312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93401 (or 93395 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10103211312 its reverse (21311230101), we get a palindrome (31414441413).

The spelling of 10103211312 in words is "ten billion, one hundred three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 2311 4622 6933 9244 13866 18488 27732 36976 55464 91079 110928 182158 273237 364316 546474 728632 1092948 1457264 2185896 4371792 210483569 420967138 631450707 841934276 1262901414 1683868552 2525802828 3367737104 5051605656 10103211312