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100443400432130 = 2574161995645701
BaseRepresentation
bin10110110101101001001101…
…001100111110101000000010
3111011122021222021110021201202
4112311221031030332220002
5101131131041002312010
6553343021112501202
730104540045501330
oct2665511514765002
9434567867407652
10100443400432130
112a005896a985a8
12b32272b6aa802
134407a06181252
141ab36b5022b50
15b92b6b4906a5
hex5b5a4d33ea02

100443400432130 has 64 divisors (see below), whose sum is σ = 211700275315200. Its totient is φ = 33592366656000.

The previous prime is 100443400432093. The next prime is 100443400432157. The reversal of 100443400432130 is 31234004344001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100443400432093 and 100443400432102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14968280 + ... + 20613980.

It is an arithmetic number, because the mean of its divisors is an integer number (3307816801800).

Almost surely, 2100443400432130 is an apocalyptic number.

100443400432130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100443400432130 is an abundant number, since it is smaller than the sum of its proper divisors (111256874883070).

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

100443400432130 is a wasteful number, since it uses less digits than its factorization.

100443400432130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651955.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 100443400432130 its reverse (31234004344001), we get a palindrome (131677404776131).

The spelling of 100443400432130 in words is "one hundred trillion, four hundred forty-three billion, four hundred million, four hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 70 82 205 287 410 574 1435 2870 6199 12398 30995 43393 61990 86786 216965 254159 433930 508318 1270795 1779113 2541590 3558226 5645701 8895565 11291402 17791130 28228505 39519907 56457010 79039814 197599535 231473741 395199070 462947482 1157368705 1620316187 2314737410 3240632374 8101580935 16203161870 34997700499 69995400998 174988502495 244983903493 349977004990 489967806986 1224919517465 1434905720459 2449839034930 2869811440918 7174528602295 10044340043213 14349057204590 20088680086426 50221700216065 100443400432130