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10210323132 = 2234192957193
BaseRepresentation
bin10011000001001010…
…10010101010111100
3222100120112011020000
421200211102222330
5131402320320012
64405054354300
7511010212632
oct114045225274
928316464200
1010210323132
11436a508989
121b8b4bb990
13c6944a429
146cc071352
153eb5a5ddc
hex260952abc

10210323132 has 120 divisors (see below), whose sum is σ = 29065990800. Its totient is φ = 3113074944.

The previous prime is 10210323083. The next prime is 10210323133. The reversal of 10210323132 is 23132301201.

10210323132 is a `hidden beast` number, since 1 + 0 + 210 + 323 + 132 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210323133) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149928 + ... + 207120.

It is an arithmetic number, because the mean of its divisors is an integer number (242216590).

Almost surely, 210210323132 is an apocalyptic number.

10210323132 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 10210323132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14532995400).

10210323132 is an abundant number, since it is smaller than the sum of its proper divisors (18855667668).

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

10210323132 is a wasteful number, since it uses less digits than its factorization.

10210323132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57257 (or 57246 counting only the distinct ones).

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

Adding to 10210323132 its reverse (23132301201), we get a palindrome (33342624333).

The spelling of 10210323132 in words is "ten billion, two hundred ten million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 29 36 38 54 57 58 76 81 87 108 114 116 162 171 174 228 261 324 342 348 513 522 551 684 783 1026 1044 1102 1539 1566 1653 2052 2204 2349 3078 3132 3306 4698 4959 6156 6612 9396 9918 14877 19836 29754 44631 57193 59508 89262 114386 171579 178524 228772 343158 514737 686316 1029474 1086667 1544211 1658597 2058948 2173334 3088422 3260001 3317194 4346668 4632633 4975791 6176844 6520002 6634388 9265266 9780003 9951582 13040004 14927373 18530532 19560006 19903164 29340009 29854746 31513343 39120012 44782119 58680018 59709492 63026686 88020027 89564238 94540029 117360036 126053372 134346357 176040054 179128476 189080058 268692714 283620087 352080108 378160116 537385428 567240174 850860261 1134480348 1701720522 2552580783 3403441044 5105161566 10210323132