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100023330132 = 223211253433249
BaseRepresentation
bin101110100100111011…
…0101110010101010100
3100120011210112122011200
41131021312232111110
53114321433031012
6113541115032500
710140446164245
oct1351166562524
9316153478150
10100023330132
1139468620400
121747573b730
1395805ba85b
144bac1b4ccc
1529062e73dc
hex1749dae554

100023330132 has 108 divisors (see below), whose sum is σ = 283155736500. Its totient is φ = 29738142720.

The previous prime is 100023330131. The next prime is 100023330133. The reversal of 100023330132 is 231033320001.

100023330132 is a `hidden beast` number, since 100 + 0 + 233 + 301 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (100023330131) and next prime (100023330133).

It can be written as a sum of positive squares in 2 ways, for example, as 88955448516 + 11067881616 = 298254^2 + 105204^2 .

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 (100023330131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14244 + ... + 447492.

It is an arithmetic number, because the mean of its divisors is an integer number (2621812375).

Almost surely, 2100023330132 is an apocalyptic number.

100023330132 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 100023330132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141577868250).

100023330132 is an abundant number, since it is smaller than the sum of its proper divisors (183132406368).

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

100023330132 is a wasteful number, since it uses less digits than its factorization.

100023330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433334 (or 433318 counting only the distinct ones).

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

Adding to 100023330132 its reverse (231033320001), we get a palindrome (331056650133).

The spelling of 100023330132 in words is "one hundred billion, twenty-three million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 53 66 99 106 121 132 159 198 212 242 318 363 396 477 484 583 636 726 954 1089 1166 1452 1749 1908 2178 2332 3498 4356 5247 6413 6996 10494 12826 19239 20988 25652 38478 57717 76956 115434 230868 433249 866498 1299747 1732996 2599494 3899241 4765739 5198988 7798482 9531478 14297217 15596964 19062956 22962197 28594434 42891651 45924394 52423129 57188868 68886591 85783302 91848788 104846258 137773182 157269387 171566604 206659773 209692516 252584167 275546364 314538774 413319546 471808161 505168334 629077548 757752501 826639092 943616322 1010336668 1515505002 1887232644 2273257503 2778425837 3031010004 4546515006 5556851674 8335277511 9093030012 11113703348 16670555022 25005832533 33341110044 50011665066 100023330132