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132100400424032 = 2541251401140561
BaseRepresentation
bin11110000010010100000101…
…011100010010010001100000
3122022201200020000222010111022
4132002110011130102101200
5114303313110002032112
61144542030340305012
736552640032554165
oct3602240534222140
9568650200863438
10132100400424032
1139100513209667
1212995b389a2168
135893025588591
14248999cd4406c
15104137ba09d72
hex782505712460

132100400424032 has 48 divisors (see below), whose sum is σ = 267477317617104. Its totient is φ = 64182489600000.

The previous prime is 132100400424029. The next prime is 132100400424059. The reversal of 132100400424032 is 230424004001231.

It is a junction number, because it is equal to n+sod(n) for n = 132100400423992 and 132100400424010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200240969 + ... + 200899592.

It is an arithmetic number, because the mean of its divisors is an integer number (5572444117023).

Almost surely, 2132100400424032 is an apocalyptic number.

It is an amenable number.

132100400424032 is an abundant number, since it is smaller than the sum of its proper divisors (135376917193072).

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

132100400424032 is a wasteful number, since it uses less digits than its factorization.

132100400424032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401140863 (or 401140855 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 132100400424032 its reverse (230424004001231), we get a palindrome (362524404425263).

The spelling of 132100400424032 in words is "one hundred thirty-two trillion, one hundred billion, four hundred million, four hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 41 82 164 251 328 502 656 1004 1312 2008 4016 8032 10291 20582 41164 82328 164656 329312 401140561 802281122 1604562244 3209124488 6418248976 12836497952 16446763001 32893526002 65787052004 100686280811 131574104008 201372561622 263148208016 402745123244 526296416032 805490246488 1610980492976 3221960985952 4128137513251 8256275026502 16512550053004 33025100106008 66050200212016 132100400424032