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121701100 = 22526171281
BaseRepresentation
bin1110100000100…
…00001011101100
322111000001112011
413100100023230
5222123413400
620024251004
73005304463
oct720201354
9274001464
10121701100
1162773924
1234910a64
131c2a12b1
141223d9da
15aa3e8ba
hex74102ec

121701100 has 72 divisors (see below), whose sum is σ = 273170016. Its totient is φ = 47040000.

The previous prime is 121701067. The next prime is 121701101. The reversal of 121701100 is 1107121.

It is a super-2 number, since 2×1217011002 = 29622315482420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (121701101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 432960 + ... + 433240.

It is an arithmetic number, because the mean of its divisors is an integer number (3794028).

Almost surely, 2121701100 is an apocalyptic number.

121701100 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 121701100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136585008).

121701100 is an abundant number, since it is smaller than the sum of its proper divisors (151468916).

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

121701100 is a wasteful number, since it uses less digits than its factorization.

121701100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

The square root of 121701100 is about 11031.8221523010. The cubic root of 121701100 is about 495.5621949712.

Adding to 121701100 its reverse (1107121), we get a palindrome (122808221).

It can be divided in two parts, 121701 and 100, that added together give a square (121801 = 3492).

The spelling of 121701100 in words is "one hundred twenty-one million, seven hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 71 100 122 142 244 281 284 305 355 562 610 710 1124 1220 1405 1420 1525 1775 2810 3050 3550 4331 5620 6100 7025 7100 8662 14050 17141 17324 19951 21655 28100 34282 39902 43310 68564 79804 85705 86620 99755 108275 171410 199510 216550 342820 399020 428525 433100 498775 857050 997550 1217011 1714100 1995100 2434022 4868044 6085055 12170110 24340220 30425275 60850550 121701100