Search a number
-
+
1023141120100 = 2252111019209191
BaseRepresentation
bin11101110001101111111…
…01101000100001100100
310121210220110112010110021
432320313331220201210
5113230343111320400
62102005145004524
7133630251012331
oct16706775504144
93553813463407
101023141120100
11364a03541a40
1214635ba83744
1375635667b08
143773d98b988
151b93314e71a
hexee37f68864

1023141120100 has 72 divisors (see below), whose sum is σ = 2446035068736. Its totient is φ = 368367600000.

The previous prime is 1023141120083. The next prime is 1023141120241. The reversal of 1023141120100 is 10211413201.

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, 4493496 + ... + 4715695.

It is an arithmetic number, because the mean of its divisors is an integer number (33972709288).

Almost surely, 21023141120100 is an apocalyptic number.

1023141120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023141120100 is an abundant number, since it is smaller than the sum of its proper divisors (1422893948636).

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

1023141120100 is a wasteful number, since it uses less digits than its factorization.

1023141120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9209317 (or 9209310 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1023141120100 its reverse (10211413201), we get a palindrome (1033352533301).

The spelling of 1023141120100 in words is "one trillion, twenty-three billion, one hundred forty-one million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 202 220 275 404 505 550 1010 1100 1111 2020 2222 2525 4444 5050 5555 10100 11110 22220 27775 55550 111100 9209191 18418382 36836764 46045955 92091910 101301101 184183820 202602202 230229775 405204404 460459550 506505505 920919100 930128291 1013011010 1860256582 2026022020 2532527525 3720513164 4650641455 5065055050 9301282910 10130110100 10231411201 18602565820 20462822402 23253207275 40925644804 46506414550 51157056005 93012829100 102314112010 204628224020 255785280025 511570560050 1023141120100