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32112020000 = 25544139161
BaseRepresentation
bin11101111010000001…
…101000101000100000
310001212221102122011002
4131322001220220200
51011231134120000
622430240011132
72214523444364
oct357201505040
9101787378132
1032112020000
1112689441a05
126282300aa8
133049b01088
1417a8b432a4
15c7e2678d5
hex77a068a20

32112020000 has 120 divisors (see below), whose sum is σ = 80929291212. Its totient is φ = 12531200000.

The previous prime is 32112019987. The next prime is 32112020011. The reversal of 32112020000 is 2021123.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 9919363216 + 22192656784 = 99596^2 + 148972^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 800420 + ... + 839580.

Almost surely, 232112020000 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 32112020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40464645606).

32112020000 is an abundant number, since it is smaller than the sum of its proper divisors (48817271212).

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

32112020000 is an equidigital number, since it uses as much as digits as its factorization.

32112020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39232 (or 39209 counting only the distinct ones).

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

Adding to 32112020000 its reverse (2021123), we get a palindrome (32114041123).

The spelling of 32112020000 in words is "thirty-two billion, one hundred twelve million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 625 656 800 820 1000 1025 1250 1312 1640 2000 2050 2500 3280 4000 4100 5000 5125 6560 8200 10000 10250 16400 20000 20500 25625 32800 39161 41000 51250 78322 82000 102500 156644 164000 195805 205000 313288 391610 410000 626576 783220 820000 979025 1253152 1566440 1605601 1958050 3132880 3211202 3916100 4895125 6265760 6422404 7832200 8028005 9790250 12844808 15664400 16056010 19580500 24475625 25689616 31328800 32112020 39161000 40140025 48951250 51379232 64224040 78322000 80280050 97902500 128448080 156644000 160560100 195805000 200700125 256896160 321120200 391610000 401400250 642240400 783220000 802800500 1003500625 1284480800 1605601000 2007001250 3211202000 4014002500 6422404000 8028005000 16056010000 32112020000