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100332002328 = 23341709143813
BaseRepresentation
bin101110101110001000…
…0001101110000011000
3100120222022100210211020
41131130100031300120
53120434443033303
6114031503002440
710151214643215
oct1353420156030
9316868323736
10100332002328
1139606888398
1217540b99420
1395cc533a1c
144bdb1a4b0c
15292346aa53
hex175c40dc18

100332002328 has 64 divisors (see below), whose sum is σ = 257312008800. Its totient is φ = 32582046720.

The previous prime is 100332002327. The next prime is 100332002389. The reversal of 100332002328 is 823200233001.

It is a super-2 number, since 2×1003320023282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100332002298 and 100332002307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100332002327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625750 + ... + 769562.

Almost surely, 2100332002328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100332002328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128656004400).

100332002328 is an abundant number, since it is smaller than the sum of its proper divisors (156980006472).

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

100332002328 is a wasteful number, since it uses less digits than its factorization.

100332002328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144572 (or 144568 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100332002328 its reverse (823200233001), we get a palindrome (923532235329).

The spelling of 100332002328 in words is "one hundred billion, three hundred thirty-two million, two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 709 984 1418 2127 2836 4254 5672 8508 17016 29069 58138 87207 116276 143813 174414 232552 287626 348828 431439 575252 697656 862878 1150504 1725756 3451512 5896333 11792666 17688999 23585332 35377998 47170664 70755996 101963417 141511992 203926834 305890251 407853668 611780502 815707336 1223561004 2447122008 4180500097 8361000194 12541500291 16722000388 25083000582 33444000776 50166001164 100332002328