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100232203320 = 233251716377811
BaseRepresentation
bin101110101011001001…
…1100000110000111000
3100120201100120111022200
41131112103200300320
53120233421001240
6114013535550200
710145563446054
oct1352623406070
9316640514280
10100232203320
1139565513977
121751368b360
1395b4960862
144bcbc26c64
152919805930
hex17564e0c38

100232203320 has 96 divisors (see below), whose sum is σ = 344916720720. Its totient is φ = 25156316160.

The previous prime is 100232203307. The next prime is 100232203321. The reversal of 100232203320 is 23302232001.

It is a happy number.

100232203320 is a `hidden beast` number, since 10 + 0 + 2 + 322 + 0 + 332 + 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 = 100232203293 and 100232203302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100232203321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8182786 + ... + 8195025.

Almost surely, 2100232203320 is an apocalyptic number.

100232203320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232203320 is an abundant number, since it is smaller than the sum of its proper divisors (244684517400).

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

100232203320 is a wasteful number, since it uses less digits than its factorization.

100232203320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16377845 (or 16377838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 100232203320 its reverse (23302232001), we get a palindrome (123534435321).

The spelling of 100232203320 in words is "one hundred billion, two hundred thirty-two million, two hundred three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 16377811 32755622 49133433 65511244 81889055 98266866 131022488 147400299 163778110 196533732 245667165 278422787 294800598 327556220 393067464 491334330 556845574 589601196 655112440 737001495 835268361 982668660 1113691148 1179202392 1392113935 1474002990 1670536722 1965337320 2227382296 2505805083 2784227870 2948005980 3341073444 4176341805 5011610166 5568455740 5896011960 6682146888 8352683610 10023220332 11136911480 12529025415 16705367220 20046440664 25058050830 33410734440 50116101660 100232203320