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121795900 = 225231101389
BaseRepresentation
bin1110100001001…
…11010100111100
322111011212120021
413100213110330
5222134432100
620030301524
73006151042
oct720472474
9274155507
10121795900
1162829076
12349578a4
131c3054a5
1412266392
15aa5ca1a
hex742753c

121795900 has 72 divisors (see below), whose sum is σ = 276232320. Its totient is φ = 46560000.

The previous prime is 121795889. The next prime is 121795903. The reversal of 121795900 is 9597121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121795903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312906 + ... + 313294.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2121795900 is an apocalyptic number.

121795900 is a gapful number since it is divisible by the number (10) 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 121795900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138116160).

121795900 is an abundant number, since it is smaller than the sum of its proper divisors (154436420).

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

121795900 is a wasteful number, since it uses less digits than its factorization.

121795900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 34.

The square root of 121795900 is about 11036.1179768975. The cubic root of 121795900 is about 495.6908355589.

The spelling of 121795900 in words is "one hundred twenty-one million, seven hundred ninety-five thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 124 155 202 310 389 404 505 620 775 778 1010 1550 1556 1945 2020 2525 3100 3131 3890 5050 6262 7780 9725 10100 12059 12524 15655 19450 24118 31310 38900 39289 48236 60295 62620 78275 78578 120590 156550 157156 196445 241180 301475 313100 392890 602950 785780 982225 1205900 1217959 1964450 2435918 3928900 4871836 6089795 12179590 24359180 30448975 60897950 121795900