Search a number
-
+
32101303303332 = 22322617340734761
BaseRepresentation
bin1110100110010001010101…
…10001111011110010100100
311012122212002000120121202200
413103020222301323302210
513201421432121201312
6152135045105334500
76522146135642034
oct723105261736244
9135585060517680
1032101303303332
11a2570a492102a
123725545637430
1314bb1a8506753
147cd9d5ddb8c4
153aa0666350dc
hex1d322ac7bca4

32101303303332 has 36 divisors (see below), whose sum is σ = 81175968229356. Its totient is φ = 10696345585920.

The previous prime is 32101303303319. The next prime is 32101303303379. The reversal of 32101303303332 is 23330330310123.

32101303303332 is a `hidden beast` number, since 3 + 2 + 10 + 13 + 0 + 3 + 303 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17667428253696 + 14433875049636 = 4203264^2 + 3799194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 32101303303296 and 32101303303305.

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 11 ways as a sum of consecutive naturals, for example, 170273169 + ... + 170461592.

It is an arithmetic number, because the mean of its divisors is an integer number (2254888006371).

Almost surely, 232101303303332 is an apocalyptic number.

It is an amenable number.

32101303303332 is an abundant number, since it is smaller than the sum of its proper divisors (49074664926024).

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

32101303303332 is a wasteful number, since it uses less digits than its factorization.

32101303303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340737388 (or 340737383 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 32101303303332 its reverse (23330330310123), we get a palindrome (55431633613455).

The spelling of 32101303303332 in words is "thirty-two trillion, one hundred one billion, three hundred three million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 2617 5234 7851 10468 15702 23553 31404 47106 94212 340734761 681469522 1022204283 1362939044 2044408566 3066612849 4088817132 6133225698 12266451396 891702869537 1783405739074 2675108608611 3566811478148 5350217217222 8025325825833 10700434434444 16050651651666 32101303303332