Search a number
-
+
102121002100 = 225213487116127
BaseRepresentation
bin101111100011011100…
…0101101010001110100
3100202120222200102011001
41133012320231101310
53133120434031400
6114525211253044
710243440124045
oct1370670552164
9322528612131
10102121002100
113a3447093a7
121796014a184
139826071b80
144d2aa168cc
1529ca54ea6a
hex17c6e2d474

102121002100 has 72 divisors (see below), whose sum is σ = 238712721408. Its totient is φ = 37696137600.

The previous prime is 102121002091. The next prime is 102121002163. The reversal of 102121002100 is 1200121201.

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

It is a congruent 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, 6324237 + ... + 6340363.

It is an arithmetic number, because the mean of its divisors is an integer number (3315454464).

Almost surely, 2102121002100 is an apocalyptic number.

102121002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121002100 is an abundant number, since it is smaller than the sum of its proper divisors (136591719308).

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

102121002100 is a wasteful number, since it uses less digits than its factorization.

102121002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21025 (or 21018 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102121002100 its reverse (1200121201), we get a palindrome (103321123301).

The spelling of 102121002100 in words is "one hundred two billion, one hundred twenty-one million, two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 4871 9742 16127 19484 24355 32254 48710 63323 64508 80635 97420 121775 126646 161270 209651 243550 253292 316615 322540 403175 419302 487100 633230 806350 838604 1048255 1266460 1583075 1612700 2096510 3166150 4193020 5241275 6332300 10482550 20965100 78554617 157109234 314218468 392773085 785546170 1021210021 1571092340 1963865425 2042420042 3927730850 4084840084 5106050105 7855461700 10212100210 20424200420 25530250525 51060501050 102121002100