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121032100 = 22527434021
BaseRepresentation
bin1110011011011…
…00110110100100
322102202001211101
413031230312210
5221441011400
620002045444
72666520160
oct715546644
9272661741
10121032100
1162357232
1234649884
131c0c8937
1412107ca0
15a95b56a
hex736cda4

121032100 has 72 divisors (see below), whose sum is σ = 307216448. Its totient is φ = 40521600.

The previous prime is 121032089. The next prime is 121032101. The reversal of 121032100 is 1230121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (121032101) 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, 28090 + ... + 32110.

Almost surely, 2121032100 is an apocalyptic number.

121032100 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 121032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153608224).

121032100 is an abundant number, since it is smaller than the sum of its proper divisors (186184348).

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

121032100 is a wasteful number, since it uses less digits than its factorization.

121032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4078 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 121032100 is about 11001.4589941516. The cubic root of 121032100 is about 494.6524785863.

Adding to 121032100 its reverse (1230121), we get a palindrome (122262221).

The spelling of 121032100 in words is "one hundred twenty-one million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4021 4300 6020 7525 8042 15050 16084 20105 28147 30100 40210 56294 80420 100525 112588 140735 172903 201050 281470 345806 402100 562940 691612 703675 864515 1210321 1407350 1729030 2420642 2814700 3458060 4322575 4841284 6051605 8645150 12103210 17290300 24206420 30258025 60516050 121032100