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10332103122 = 233113294957
BaseRepresentation
bin10011001111101011…
…10110000111010010
3222200001200012222000
421213311312013102
5132130004244442
64425124454430
7514016266425
oct114765660722
928601605860
1010332103122
114422226000
12200424a416
13c887485b3
147002d19bc
1540710dd4c
hex267d761d2

10332103122 has 128 divisors (see below), whose sum is σ = 26130643200. Its totient is φ = 3022367040.

The previous prime is 10332103121. The next prime is 10332103129. The reversal of 10332103122 is 22130123301.

10332103122 is a `hidden beast` number, since 10 + 332 + 10 + 312 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10332103095 and 10332103104.

It is not an unprimeable number, because it can be changed into a prime (10332103121) 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 63 ways as a sum of consecutive naturals, for example, 2081868 + ... + 2086824.

It is an arithmetic number, because the mean of its divisors is an integer number (204145650).

Almost surely, 210332103122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332103122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13065321600).

10332103122 is an abundant number, since it is smaller than the sum of its proper divisors (15798540078).

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

10332103122 is a wasteful number, since it uses less digits than its factorization.

10332103122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10332103122 its reverse (22130123301), we get a palindrome (32462226423).

The spelling of 10332103122 in words is "ten billion, three hundred thirty-two million, one hundred three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 87 99 121 174 198 242 261 297 319 363 522 594 638 726 783 957 1089 1331 1566 1914 2178 2662 2871 3267 3509 3993 4957 5742 6534 7018 7986 8613 9914 10527 11979 14871 17226 21054 23958 29742 31581 35937 38599 44613 54527 63162 71874 77198 89226 94743 109054 115797 133839 143753 163581 189486 231594 267678 287506 327162 347391 431259 490743 599797 694782 862518 981486 1042173 1199594 1293777 1472229 1581283 1799391 2084346 2587554 2944458 3162566 3598782 3881331 4743849 5398173 6597767 7762662 9487698 10796346 13195534 14231547 16194519 17394113 19793301 28463094 32389038 34788226 39586602 42694641 52182339 59379903 85389282 104364678 118759806 156547017 178139709 191335243 313094034 356279418 382670486 469641051 574005729 939282102 1148011458 1722017187 3444034374 5166051561 10332103122