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312000110100340 = 22564826924064093
BaseRepresentation
bin100011011110000110010111…
…1101110110111111101110100
31111220200220211010012100220221
41012330030233232313331310
5311343302211141202330
63023322512154104124
7122501156403362614
oct10674145756677564
91456626733170827
10312000110100340
119045a55a364342
122abab86571b044
131051263a86361c
145708c58cb4a44
152610c8b27bb7a
hex11bc32fbb7f74

312000110100340 has 24 divisors (see below), whose sum is σ = 655201269129960. Its totient is φ = 124799846341248.

The previous prime is 312000110100331. The next prime is 312000110100353. The reversal of 312000110100340 is 43001011000213.

It can be written as a sum of positive squares in 4 ways, for example, as 31206211407504 + 280793898692836 = 5586252^2 + 16756906^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 933334 + ... + 24997426.

It is an arithmetic number, because the mean of its divisors is an integer number (27300052880415).

Almost surely, 2312000110100340 is an apocalyptic number.

It is an amenable number.

312000110100340 is an abundant number, since it is smaller than the sum of its proper divisors (343201159029620).

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

312000110100340 is a wasteful number, since it uses less digits than its factorization.

312000110100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24712371 (or 24712369 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 312000110100340 its reverse (43001011000213), we get a palindrome (355001121100553).

The spelling of 312000110100340 in words is "three hundred twelve trillion, one hundred ten million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 648269 1296538 2593076 3241345 6482690 12965380 24064093 48128186 96256372 120320465 240640930 481281860 15600005505017 31200011010034 62400022020068 78000027525085 156000055050170 312000110100340