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101040214132 = 221121327757973
BaseRepresentation
bin101111000011001110…
…1110101000001110100
3100122210122222200210001
41132012131311001310
53123412243323012
6114230042241044
710204604435524
oct1360635650164
9318718880701
10101040214132
113993a626400
12176ba1b6184
1396b3189a70
144c67279684
152965711357
hex1786775074

101040214132 has 72 divisors (see below), whose sum is σ = 210066006248. Its totient is φ = 42240718080.

The previous prime is 101040214117. The next prime is 101040214183. The reversal of 101040214132 is 231412040101.

It can be written as a sum of positive squares in 4 ways, for example, as 3748623076 + 97291591056 = 61226^2 + 311916^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1713898 + ... + 1771870.

Almost surely, 2101040214132 is an apocalyptic number.

It is an amenable number.

101040214132 is an abundant number, since it is smaller than the sum of its proper divisors (109025792116).

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

101040214132 is a wasteful number, since it uses less digits than its factorization.

101040214132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58289 (or 58276 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 101040214132 its reverse (231412040101), we get a palindrome (332452254233).

The spelling of 101040214132 in words is "one hundred one billion, forty million, two hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 242 277 286 484 554 572 1108 1573 3047 3146 3601 6094 6292 7202 12188 14404 33517 39611 57973 67034 79222 115946 134068 158444 231892 435721 637703 753649 871442 1275406 1507298 1742884 2550812 3014596 7014733 8290139 14029466 16058521 16580278 28058932 32117042 33160556 64234084 91191529 176643731 182383058 208760773 353287462 364766116 417521546 706574924 835043092 1943081041 2296368503 3886162082 4592737006 7772324164 9185474012 25260053533 50520107066 101040214132