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10103222032212 = 22329614011186879
BaseRepresentation
bin1001001100000101011011…
…1101011101011101010100
31022202212011220200210100110
42103001112331131131110
52311012344320012322
633253204531243020
72061635155214601
oct223012675353524
938685156623313
1010103222032212
1132458304a0661
1211720a4749470
1358396434bbaa
1426cdda0716a8
15127c1be7dc0c
hex93056f5d754

10103222032212 has 96 divisors (see below), whose sum is σ = 24848709580800. Its totient is φ = 3190328064000.

The previous prime is 10103222032201. The next prime is 10103222032213. The reversal of 10103222032212 is 21223022230101.

It is a super-2 number, since 2×101032220322122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103222032213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7918989 + ... + 9105867.

It is an arithmetic number, because the mean of its divisors is an integer number (258840724800).

Almost surely, 210103222032212 is an apocalyptic number.

10103222032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103222032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12424354790400).

10103222032212 is an abundant number, since it is smaller than the sum of its proper divisors (14745487548588).

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

10103222032212 is a wasteful number, since it uses less digits than its factorization.

10103222032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187377 (or 1187375 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10103222032212 its reverse (21223022230101), we get a palindrome (31326244262313).

The spelling of 10103222032212 in words is "ten trillion, one hundred three billion, two hundred twenty-two million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 244 348 366 401 732 802 1203 1604 1769 2406 3538 4812 5307 7076 10614 11629 21228 23258 24461 34887 46516 48922 69774 73383 97844 139548 146766 293532 709369 1186879 1418738 2128107 2373758 2837476 3560637 4256214 4747516 7121274 8512428 14242548 34419491 68838982 72399619 103258473 137677964 144799238 206516946 217198857 289598476 413033892 434397714 475938479 868795428 951876958 1427815437 1903753916 2099588951 2855630874 4199177902 5711261748 6298766853 8398355804 12597533706 13802215891 25195067412 27604431782 29032247219 41406647673 55208863564 58064494438 82813295346 87096741657 116128988876 165626590692 174193483314 348386966628 841935169351 1683870338702 2525805508053 3367740677404 5051611016106 10103222032212