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10332132030 = 23251111818837
BaseRepresentation
bin10011001111101011…
…11101001010111110
3222200001201200121200
421213311331022332
5132130011211110
64425125240330
7514016446623
oct114765751276
928601650550
1010332132030
1144222457a0
1220042630a6
13c887587bc
147002dc34a
154071176c0
hex267d7d2be

10332132030 has 96 divisors (see below), whose sum is σ = 29333816928. Its totient is φ = 2502355200.

The previous prime is 10332132029. The next prime is 10332132043. The reversal of 10332132030 is 3023123301.

10332132030 is a `hidden beast` number, since 10 + 332 + 1 + 320 + 3 + 0 = 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 = 10332131994 and 10332132012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1164772 + ... + 1173608.

It is an arithmetic number, because the mean of its divisors is an integer number (305560593).

Almost surely, 210332132030 is an apocalyptic number.

10332132030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10332132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666908464).

10332132030 is an abundant number, since it is smaller than the sum of its proper divisors (19001684898).

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

10332132030 is a wasteful number, since it uses less digits than its factorization.

10332132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10042 (or 10039 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 10332132030 its reverse (3023123301), we get a palindrome (13355255331).

The spelling of 10332132030 in words is "ten billion, three hundred thirty-two million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1181 2362 3543 5905 7086 8837 10629 11810 12991 17674 17715 21258 25982 26511 35430 38973 44185 53022 53145 64955 77946 79533 88370 97207 106290 116919 129910 132555 159066 194414 194865 233838 265110 291621 389730 397665 486035 583242 584595 795330 874863 972070 1169190 1458105 1749726 2916210 4374315 8748630 10436497 20872994 31309491 52182485 62618982 93928473 104364970 114801467 156547455 187856946 229602934 313094910 344404401 469642365 574007335 688808802 939284730 1033213203 1148014670 1722022005 2066426406 3444044010 5166066015 10332132030