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32120233020 = 22335193130627
BaseRepresentation
bin11101111010100000…
…111101110000111100
310001220111212220022000
4131322200331300330
51011240234424040
622431132022300
72214653322141
oct357240756074
9101814786260
1032120233020
1112693041527
126285001990
13304b718455
1417a9c803c8
15c7ed3b130
hex77a83dc3c

32120233020 has 96 divisors (see below), whose sum is σ = 105189100800. Its totient is φ = 8114582592.

The previous prime is 32120232983. The next prime is 32120233027. The reversal of 32120233020 is 2033202123.

It is a happy number.

32120233020 is a `hidden beast` number, since 321 + 20 + 23 + 302 + 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 = 32120232984 and 32120233002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120233027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1555054 + ... + 1575573.

It is an arithmetic number, because the mean of its divisors is an integer number (1095719800).

Almost surely, 232120233020 is an apocalyptic number.

32120233020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32120233020 is an abundant number, since it is smaller than the sum of its proper divisors (73068867780).

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

32120233020 is a wasteful number, since it uses less digits than its factorization.

32120233020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3130664 (or 3130656 counting only the distinct ones).

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

Adding to 32120233020 its reverse (2033202123), we get a palindrome (34153435143).

The spelling of 32120233020 in words is "thirty-two billion, one hundred twenty million, two hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 3130627 6261254 9391881 12522508 15653135 18783762 28175643 31306270 37567524 46959405 56351286 59481913 62612540 84526929 93918810 112702572 118963826 140878215 169053858 178445739 187837620 237927652 281756430 297409565 338107716 356891478 422634645 535337217 563512860 594819130 713782956 845269290 892228695 1070674434 1189638260 1606011651 1690538580 1784457390 2141348868 2676686085 3212023302 3568914780 5353372170 6424046604 8030058255 10706744340 16060116510 32120233020