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121902100 = 22521983773
BaseRepresentation
bin1110100010000…
…01010000010100
322111101021020121
413101001100110
5222201331400
620032441324
73010102465
oct721012024
9274337217
10121902100
11628a0941
12349a9244
131c341928
1412292d6c
15aa7e21a
hex7441414

121902100 has 72 divisors (see below), whose sum is σ = 282169440. Its totient is φ = 45578880.

The previous prime is 121902089. The next prime is 121902103. The reversal of 121902100 is 1209121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121902103) 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, 157314 + ... + 158086.

It is an arithmetic number, because the mean of its divisors is an integer number (3919020).

Almost surely, 2121902100 is an apocalyptic number.

121902100 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 121902100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141084720).

121902100 is an abundant number, since it is smaller than the sum of its proper divisors (160267340).

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

121902100 is a wasteful number, since it uses less digits than its factorization.

121902100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 121902100 is about 11040.9284029922. The cubic root of 121902100 is about 495.8348663340.

The spelling of 121902100 in words is "one hundred twenty-one million, nine hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 83 95 100 166 190 332 380 415 475 773 830 950 1546 1577 1660 1900 2075 3092 3154 3865 4150 6308 7730 7885 8300 14687 15460 15770 19325 29374 31540 38650 39425 58748 64159 73435 77300 78850 128318 146870 157700 256636 293740 320795 367175 641590 734350 1219021 1283180 1468700 1603975 2438042 3207950 4876084 6095105 6415900 12190210 24380420 30475525 60951050 121902100