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3200104100 = 2252371675179
BaseRepresentation
bin1011111010111101…
…1011011010100100
322021000120010120002
42332233123122210
523023211312400
61245313200432
7142205302364
oct27657333244
98230503502
103200104100
1113a2414636
12753860118
133bcca702b
142250149a4
1513ae1ded5
hexbebdb6a4

3200104100 has 72 divisors (see below), whose sum is σ = 7175999040. Its totient is φ = 1237749120.

The previous prime is 3200104081. The next prime is 3200104111. The reversal of 3200104100 is 14010023.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615311 + ... + 620489.

Almost surely, 23200104100 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 3200104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3587999520).

3200104100 is an abundant number, since it is smaller than the sum of its proper divisors (3975894940).

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

3200104100 is a wasteful number, since it uses less digits than its factorization.

3200104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5390 counting only the distinct ones).

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

The square root of 3200104100 is about 56569.4626101398. The cubic root of 3200104100 is about 1473.6285787695.

Adding to 3200104100 its reverse (14010023), we get a palindrome (3214114123).

The spelling of 3200104100 in words is "three billion, two hundred million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 167 185 334 370 668 740 835 925 1670 1850 3340 3700 4175 5179 6179 8350 10358 12358 16700 20716 24716 25895 30895 51790 61790 103580 123580 129475 154475 191623 258950 308950 383246 517900 617900 766492 864893 958115 1729786 1916230 3459572 3832460 4324465 4790575 8648930 9581150 17297860 19162300 21622325 32001041 43244650 64002082 86489300 128004164 160005205 320010410 640020820 800026025 1600052050 3200104100