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232100120 = 235761107127
BaseRepresentation
bin11011101010110…
…01000100011000
3121011201220111202
431311121010120
5433404200440
635010413332
75515550510
oct1565310430
9534656452
10232100120
1110a01828a
1265891248
1339116165
1422b7a840
151559a615
hexdd59118

232100120 has 128 divisors (see below), whose sum is σ = 617103360. Its totient is φ = 76930560.

The previous prime is 232100117. The next prime is 232100129. The reversal of 232100120 is 21001232.

232100120 = T231 + T232 + ... + T1119.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232100129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827497 + ... + 1827623.

It is an arithmetic number, because the mean of its divisors is an integer number (4821120).

Almost surely, 2232100120 is an apocalyptic number.

232100120 is a gapful number since it is divisible by the number (20) 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 232100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308551680).

232100120 is an abundant number, since it is smaller than the sum of its proper divisors (385003240).

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

232100120 is a wasteful number, since it uses less digits than its factorization.

232100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 232100120 is about 15234.8324572343. The cubic root of 232100120 is about 614.5517433333.

Adding to 232100120 its reverse (21001232), we get a palindrome (253101352).

The spelling of 232100120 in words is "two hundred thirty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 107 122 127 140 214 244 254 280 305 427 428 488 508 535 610 635 749 854 856 889 1016 1070 1220 1270 1498 1708 1778 2135 2140 2440 2540 2996 3416 3556 3745 4270 4280 4445 5080 5992 6527 7112 7490 7747 8540 8890 13054 13589 14980 15494 17080 17780 26108 27178 29960 30988 32635 35560 38735 45689 52216 54229 54356 61976 65270 67945 77470 91378 95123 108458 108712 130540 135890 154940 182756 190246 216916 228445 261080 271145 271780 309880 365512 380492 433832 456890 475615 542290 543560 760984 828929 913780 951230 1084580 1657858 1827560 1902460 2169160 3315716 3804920 4144645 5802503 6631432 8289290 11605006 16578580 23210012 29012515 33157160 46420024 58025030 116050060 232100120