Search a number
-
+
10101010100100 = 2235242179976327
BaseRepresentation
bin1001001011111101001100…
…0111100110111110000100
31022202122110202112222220220
42102333103013212332010
52310443332041200400
633252201234024340
72061526306131123
oct222772307467604
938678422488826
1010101010100100
1132448a5961297
121171787a180b0
135836a100041a
1426cc6a3a9aba
15127b3cba67a0
hex92fd31e6f84

10101010100100 has 72 divisors (see below), whose sum is σ = 29295009041088. Its totient is φ = 2687204553600.

The previous prime is 10101010100081. The next prime is 10101010100141. The reversal of 10101010100100 is 100101010101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 39861864 + ... + 40114463.

Almost surely, 210101010100100 is an apocalyptic number.

10101010100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101010100100 is an abundant number, since it is smaller than the sum of its proper divisors (19193998940988).

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

10101010100100 is a wasteful number, since it uses less digits than its factorization.

10101010100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79976765 (or 79976758 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10101010100100 its reverse (100101010101), we get a palindrome (10201111110201).

The spelling of 10101010100100 in words is "ten trillion, one hundred one billion, ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 421 842 1263 1684 2105 2526 4210 5052 6315 8420 10525 12630 21050 25260 31575 42100 63150 126300 79976327 159952654 239928981 319905308 399881635 479857962 799763270 959715924 1199644905 1599526540 1999408175 2399289810 3998816350 4798579620 5998224525 7997632700 11996449050 23992898100 33670033667 67340067334 101010101001 134680134668 168350168335 202020202002 336700336670 404040404004 505050505005 673400673340 841750841675 1010101010010 1683501683350 2020202020020 2525252525025 3367003366700 5050505050050 10101010100100