Search a number
-
+
1012102000100 = 2252419238910111
BaseRepresentation
bin11101011101001011111…
…10101110110111100100
310120202102010110201122222
432232211332232313210
5113040241103000400
62052541522211512
7133056555025112
oct16564576566744
93522363421588
101012102000100
11360259214774
1214419aab3b98
13745965c4349
1436db3816ab2
151b4d8e34185
hexeba5faede4

1012102000100 has 72 divisors (see below), whose sum is σ = 2202642355200. Its totient is φ = 403665609600.

The previous prime is 1012102000057. The next prime is 1012102000157. The reversal of 1012102000100 is 10002012101.

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, 100094045 + ... + 100104155.

Almost surely, 21012102000100 is an apocalyptic number.

1012102000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012102000100 is an abundant number, since it is smaller than the sum of its proper divisors (1190540355100).

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

1012102000100 is a wasteful number, since it uses less digits than its factorization.

1012102000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12933 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1012102000100 its reverse (10002012101), we get a palindrome (1022104012201).

The spelling of 1012102000100 in words is "one trillion, twelve billion, one hundred two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 419 838 1676 2095 2389 4190 4778 8380 9556 10111 10475 11945 20222 20950 23890 40444 41900 47780 50555 59725 101110 119450 202220 238900 252775 505550 1000991 1011100 2001982 4003964 4236509 5004955 8473018 10009910 16946036 20019820 21182545 24155179 25024775 42365090 48310358 50049550 84730180 96620716 100099100 105912725 120775895 211825450 241551790 423650900 483103580 603879475 1207758950 2415517900 10121020001 20242040002 40484080004 50605100005 101210200010 202420400020 253025500025 506051000050 1012102000100